Finger assignment in a CDMA rake receiver

Information

  • Patent Grant
  • 6269075
  • Patent Number
    6,269,075
  • Date Filed
    Monday, January 26, 1998
    26 years ago
  • Date Issued
    Tuesday, July 31, 2001
    23 years ago
Abstract
A method and apparatus of assigning fingers in a rake receiver for incorporation in a receiver of a CDMA communications system is disclosed herein. The method includes measuring the multipath profile of a received spread-spectrum radio-frequency (RF) signal to obtain a sequence of measurements, identifying the best candidate path of the RF signal to demodulate by determining which measurement within the sequence has the highest signal strength, deriving a timing offset for the best candidate path as a function of the measurement for the best candidate path and its adjacent measurements, and assigning a finger processing element to the best candidate path using the derived timing offset. The measurements are taken using a searcher having a predetermined timing resolution (e.g., ½ chip), and the resolution of the timing offset is higher (e.g., ⅛ chip). The best candidate path to demodulate is identified using the measurement having the highest amplitude or correlation function. The function used to derive the timing offset is a quadratic passing through the measurement for the best candidate path and adjacent measurements. A correction factor can be applied to the estimated timing offset to correct for non-quadratic multipath profiles. The assignment can be made for an available finger, or a finger can be re-assigned where the best candidate path is better than a path currently being demodulated. This approach can also be used to update and instantaneously adjust the timing of fingers to track on-time samples of the received multipaths during operation of the rake receiver.
Description




FIELD OF THE INVENTION




The present invention generally relates to the field of spread spectrum communications, and specifically relates to assignment of finger processing elements in a Code Division Multiple Access (CDMA) rake receiver.




BACKGROUND OF THE INVENTION




Code Division Multiple Access (CDMA) is a spread-spectrum communication technology that has become increasingly popular in mobile wireless communications systems (e.g., digital cellular radio systems). In a CDMA system, the time and frequency domains are simultaneously shared by all users as a base station simultaneously transmits distinct information signals to multiple subscriber mobile stations over a single frequency band. CDMA systems have a number of advantages over other multiple access systems (e.g., Frequency Division Multiple Access and Time Division Multiple Access) such as increased spectral efficiency and, as discussed below, the ability to mitigate the effects of signal fading using path diversity techniques.




Prior to transmission, the base station multiplies the individual information signal intended for each of the mobile stations by a unique signature sequence, referred to as a pseudo-noise (PN) sequence. This PN sequence can be formed by multiplying a long pseudo-noise sequence with a time offset which is used to differentiate the various base stations in the network, together with a short code unique to each mobile station, for example, the Walsh codes. The multiplication of the information signal by the signature sequence spreads the spectrum of the signal by increasing the rate of transmission from the bit rate to the chip rate. The spread spectrum signals for all subscriber mobile stations are then transmitted simultaneously by the base station. Upon receipt, each mobile station de-spreads the received spread spectrum signal by multiplying the received signal by the mobile station's assigned unique signature sequence. The result is then integrated to isolate the information signal intended for the particular mobile station from the other signals intended for other mobile stations. The signals intended for the other mobile stations appear as noise. The structure and operation of CDMA systems are well known. See, e.g., Andrew J. Viterbi,


CDMA: Principles of Spread Spectrum Communication


, Addison-Wesley Publishing, 1995; Marvin K. Simon, Jim K. Omura, Robert A. Scholtz, and Barry K. Levitt,


Spread Spectrum Communications Handbook


, McGraw-Hill, Inc., 1994.




One advantage of CDMA systems over other multiple-access telecommunications systems is the ability of CDMA systems to exploit path diversity of the incoming radio-frequency (RF) signal. The CDMA signal is communicated from a transmitter to a receiver via a channel including several independent paths, referred to as “multipaths”. Each multipath represents a distinct route that the information signal takes between the transmitter and receiver. The transmitted signal thus appears at the receiver as a plurality of multipath signals or “multipaths”. Each multipath may arrive at the receiver with an arbitrary timing delay, and each multipath may have a different signal strength at any time due to signal fading.




CDMA systems employ “rake” receivers in mobile units and base stations to exploit this path diversity. Rake receivers estimate the timing delay introduced by each of one or more multipaths in comparison with some reference (e.g., line-of-sight delay), and then use the estimated timing delays to receive the multipaths which have the highest signal strength. A typical rake receiver includes a plurality (e.g., three to six) of rake branches or “fingers”. Each finger is an independent receiver unit which assembles and demodulates one received multipath which is assigned to the finger. A rake receiver also includes a separate “searcher” which searches out different signal components of an information signal that was transmitted using the assigned signature sequence of the receiver, and detects the phases of the different signal components. The timing of each finger is controlled such that it is correlated with a particular multipath which arrived at the receiver with a slightly different delay and was found by the searcher. Thus, each finger is “assigned” to a particular multipath by controlling its timing to coincide with arrival of the multipath. The demodulated output from each finger, representing one multipath, is then combined into a high-quality output signal which combines the energy received from each multipath that was demodulated. The implementation of rake receivers is generally known for both forward and reverse CDMA channels. See, e.g., R. Price and P. E. Green, Jr.,


A Communication Technique for Multipath Channels


, 46 Proc. Inst. Rad. Eng. 555-70 (March 1958); G. Cooper and C. McGillem,


Modern Communications and Spread Spectrum


, Chapter 12, McGraw-Hill, NY, 1986.




In general, rake receivers estimate the channel using a searcher having a ½ chip resolution (i.e., −0.25/+0.25 chip resolution), and the fingers are assigned using the same resolution. The resolution of the finger assignment creates a timing misalignment between the received signal and the pseudo-noise (PN) sequence generated locally in the finger which results in signal-to-noise ratio (SNR) degradation, or degraded Frame Error Rate (FER) performance. For example, with ½ chip resolution for the searcher and the finger assignment, the resulting timing misalignment of 0.25 chip causes a SNR degradation on the order of 1 dB. Although receivers typically include a delay-locked loop to correct such assignment errors, the loss due to the initial timing mis-alignment becomes significant in the dynamic environments faced by CDMA mobile stations where finger re-assignments may be performed as often as every 5 to 10 frames. The delay-locked loop, which typically requires on the order of 2 frames to correct such initial timing mis-alignments, is too slow to cause the timing mis-alignment of the initial finger assignment to have a non-negligible effect on receiver performance.




One approach to decreasing the performance problems associated with timing mis-alignments caused by the initial finger assignment is to use searchers with improved resolution to estimate the channel. For example, a searcher having ¼ or ⅛ chip resolution could be used. However, the hardware implementation of such a high-resolution searcher would be more complex than the implementation of a ½ chip resolution searcher, and would not be economical or practical for the construction of CDMA mobile stations. Another approach would be to use a delay-locked loop having a fast time constant directly after the initial finger assignment, followed after a period of time by a slower time constant. However, the hardware implementation of such a delay-locked loop would also be more complex, and the initial finger assignment would still result in a significant timing mis-alignment. Thus, it would be desirable to improve the initial assignment of fingers as well as the updating of finger assignments in a rake receiver without increasing the complexity of the hardware implementation for the searcher or the delay-locked loop.




BRIEF SUMMARY OF THE INVENTION




It is an advantage of the present invention to provide a method of determining finger assignments in a CDMA rake receiver with decreased timing mis-alignment compared to the timing mis-alignment of previous rake receivers. This method provides improved SNR and FER following the initial finger assignment and provides means for tracking multipath signals for updating of finger assignments during operation.




It is also an advantage of the invention to provide a method of determining finger assignments with a resolution that is higher than the resolution of the searcher.




It is a further advantage of the invention to provide a rake receiver with improved initial finger assignments yielding decreased timing misalignments.




Still another advantage of the present invention is to provide a rake receiver with improved ability to update finger assignments while tracking any multipath signal.




Yet another advantage of the present invention is to provide a rake receiver and method of use therefor which provide improved ability to determine finger assignments which may be used in base stations or mobile stations within a CDMA communications system.




One embodiment of the present invention relates to a method of assigning finger processing elements in a rake receiver for use in a CDMA communications system. The method includes receiving a spread-spectrum radio-frequency (RF) signal having a plurality of multipath signal components forming a multipath profile, and measuring the profile to obtain a sequence of measurements. Adjacent measurements within the sequence are separated by a predetermined timing resolution, and each measurement has an amplitude indicating signal strength. The method also includes identifying the best candidate path of the RF signal to demodulate by determining which measurement within the sequence of measurements has the highest signal strength, deriving a timing offset for the best candidate path as a function of at least the measurement for that path and the measurements adjacent thereto, and assigning a finger processing element to the best candidate path using the derived timing offset. The derived timing offset has a resolution higher than the predetermined timing resolution.




Another embodiment of the present invention relates to a method of assigning finger processing elements in a rake receiver for use in a CDMA communications system. The method includes receiving a spread-spectrum radio-frequency (RF) signal having a plurality of multipath signal components forming a multipath profile, and measuring the profile to obtain a sequence of measurements. Adjacent measurements within the sequence are separated by a predetermined timing resolution, and each measurement has an amplitude indicating signal strength. The method also includes identifying the best candidate path of the RF signal to demodulate by determining which measurement within the sequence of measurements has the highest signal strength, and determining whether a finger processing element is available. If available, a timing offset is derived for the best candidate path as a function of at least the measurement for that path and the measurements adjacent thereto. The derived timing offset is then used to assign the available finger processing element to the best candidate path. The resolution of the derived timing offset is higher than the predetermined timing resolution.




Yet another embodiment of the present invention relates to a rake receiver for use in a CDMA communications system. The rake receiver includes an antenna for receiving a spread-spectrum radio-frequency (RF) signal having multipath components forming a multipath profile, and finger processing elements coupled to the antenna. Each finger processing element is assignable to a particular propagation path of the RF signal, and can demodulate the assigned path to generate a demodulated signal. A searcher unit coupled to the antenna measures the multipath profile of the RF signal to obtain sequences of measurements. The searcher unit has a predetermined timing resolution which separates adjacent measurements within the sequence, and each measurement has an amplitude indicating signal strength. A finger assignment and control unit coupled to the searcher unit and the finger processing elements reads the sequences of measurements, identifies the best candidate paths of the RF signal to demodulate by determining which measurements within the sequences have the highest signal strengths, derives timing offsets for the best candidate paths as a function of at least the measurements for those paths and the measurements adjacent thereto, and assigns the finger processing elements to the best candidate paths using at least the derived timing offsets. The derived timing offsets have resolutions higher than the predetermined timing resolution of the searcher unit. A combiner combines the demodulated signals from each of the finger processing elements to generate an output signal from the rake receiver.




Another embodiment of the present invention relates to a method of adjusting finger processing elements in a rake receiver for use in a CDMA communications system. The method includes receiving a spread-spectrum radio-frequency (RF) signal having a plurality of multipath signal components forming a multipath profile. One of the multipath signal components of the spread-spectrum RF signal is sampled to obtain early, on-time and late samples using a finger processing element, and a timing offset is derived for the on-time sample as a function of at least the early, on-time and late samples of the sampled multipath signal component. The finger processing element is adjusted to track the timing of the on-time sample of the sampled multipath signal component using the derived timing offset.











BRIEF DESCRIPTION OF THE DRAWINGS




Understanding of the present invention will be facilitated by consideration of the following detailed description of a preferred embodiment of the present invention, taken in conjunction with the accompanying drawings, in which like reference numerals refer to like parts and in which:





FIG. 1

is a block diagram of a Code Division Multiple Access (CDMA) rake receiver which includes a searcher unit, a finger assignment and control unit, and a plurality of finger processing elements shown in an overlayed relationship;





FIG. 2

is a block diagram of the searcher unit shown in

FIG. 1

;





FIG. 3

is an exemplary flow chart showing the steps performed by the finger assignment and control unit shown in

FIG. 1

to read the searcher unit, identify the best candidate paths to be demodulated by the finger processing elements, derive high-resolution timing offsets for the best candidate paths, and assign the finger processing elements to the best candidate paths;





FIG. 4

is an exemplary graph illustrating the quadratic approximation performed by the finger assignment and control unit to derive the high-resolution timing offset (in chips) used to assign a finger processing element;





FIG. 5

is an exemplary graph illustrating a possible shape of the correlation function which differs from the quadratic shape shown in

FIG. 4

;





FIG. 6

is a curve showing the relationship between the estimated timing offset determined by quadratic approximation and the actual timing offset for the non-quadratic correlation function illustrated in

FIG. 5

; and





FIG. 7

shows a correction curve for the non-quadratic correlation function illustrated in

FIG. 5

which is used to determine a correction factor which can be applied (i.e., added) to the estimated timing offset which was determined by quadratic approximation to generate the actual timing offset.











DETAILED DESCRIPTION OF A PREFERRED EMBODIMENT




Referring to

FIG. 1

, a Code Division Multiple Access (CDMA) rake receiver


10


for use in a CDMA communications system is shown. The rake receiver includes an antenna element


12


, an input circuit


14


, a plurality of finger processing elements or “fingers”


16


, a searcher unit or “searcher”


18


, a finger assignment and control unit


20


, and a combiner element


22


. It should be noted that, while the exemplary embodiment relates to a rake receiver in the receiver of a mobile unit, the principles described herein may also be applied to rake receivers in a base station receiver.




Antenna element


12


receives a spread-spectrum radio-frequency (RF) signal


24


transmitted by one or more CDMA base stations (not shown). Input circuit


14


receives RF signal


24


from antenna element


12


, and processes it using a first de-modulator


26


, a bandpass filter


28


, a second de-modulator


30


, and a matched filter


32


. De-modulator


26


multiplies RF signal


24


by a carrier frequency signal


34


, and bandpass filter


28


filters the product at the nominal CDMA communication system bandwidth to generate an Intermediate Frequency (IF) signal


36


. Demodulator


30


downconverts IF signal


36


at the baseband by splitting the signal and multiplying the branches by the in-phase and quadrature-phase, respectively, of carrier frequency signal


34


. Matched filter


32


processes the resulting in-phase and quadrature-phase signals at the transmitted pulse shape of the CDMA communications system to generate in-phase and quadrature-phase signal components


38


and


40


, respectively.




Each finger


16


receives both in-phase and quadrature-phase signal components


38


and


40


, respectively, and is assigned to de-modulate a separate multipath of RF signal


24


. Although three fingers are shown in

FIG. 1

, rake receiver


10


could include other numbers of fingers (e.g., four, five, six, etc.) which would be assigned to and would de-modulate other propagation paths. Fingers


16


are shown in overlaid relationship in

FIG. 1

, with a first finger (i.e., FINGER


1


) on top of other fingers (i.e., FINGER


2


, FINGER


3


, etc.). Each finger has the structure shown in detail for FINGER


1


.




Each finger


16


includes samplers


42


,


44


and


46


for sampling early, on-time and late in-phase and quadrature-phase components, respectively.




The subscripts I (e.g.,


42




I


,


44




I


,


46




I


) and Q (e.g.,


42




Q


,


44




Q


,


46




Q


) indicate that the samplers sample the in-phase and quadrature-phase components, respectively. The timing of on-time samples


48




I


and


48




Q


depends on a sample timing signal


50


generated by a timing/control unit


52


. The timing of early samples


54




I


and


54




Q


and late samples


56




I


and


56




Q


are advanced and delayed relative to the timing of on-time samples


48




I


and


48




Q


by a delay time d due to a pair of delay elements


58


and


60


, respectively.




Each finger


16


is a coherent receiver which uses a reference pilot channel for coherent detection. Thus, on-time samples


48




I


and


48




Q


include both traffic-channel and pilot-channel samples. The pilot-channel can be either reference symbols embedded in the traffic symbols, or a continuous pilot signal transmitted on a separate physical channel. The early, on-time, and late in-phase and quadrature-phase signals are then de-spread using multipliers


62


and in-phase and quadrature-phase PN sequences PN


I


and PN


Q


respectively. PN


I


and PN


Q


are generated by PN generators


63


using sample timing signal


50


as an input signal. The quadrature-spreading may, for example, follow the IS-


95


standard entitled “Mobile Station-Base Station Compatibility Standard for Dual-Mode Wideband Spread Spectrum Cellular System”. The de-spread signals are operated on by signal processing elements


64


-


70


which, for example, perform multiple access separation.




The output signals from elements


64


-


70


are accumulated by integrators


72


-


78


to form accumulated signals


80


-


86


, respectively.




Each finger


16


includes a code tracking loop


88


which receives the early and late samples of the traffic or pilot channel


82


-


86


, and generates a tracking adjustment signal


90


based on the difference between the early and late samples. The channel is correctly estimated when the difference between the early and late samples is substantially zero. Tracking adjustment signal


90


is applied to timing/control unit


52


such that sample timing signal


50


tracks the timing of the multipath being demodulated by the finger


16


. The tracking accounts for changes in the timing of the multipath due, for example, to relative motion between the transmitter and receiver


10


. Each finger


16


also includes a de-modulator unit


92


which de-modulates the traffic-channel on-time samples


80


using the pilot-channel on-time samples


82


to estimate the traffic channel. The de-modulated output symbols


94


generated by each finger


16


are then time-aligned and combined in combiner


22


to form high-quality output signal


96


. Thus, high-quality output signal


96


effectively includes the transmitted energy which propagated through each of the multipaths to which each of fingers


16


were assigned. High-quality output signal


96


may be processed and then used, for example, to drive a speaker (not shown).




In-phase and quadrature-phase signal components


38


and


40


, respectively, are also processed by searcher unit


18


to measure the multipath environment. The sequence of measurements


98


from searcher unit


18


is reduced in finger assignment and control unit


20


, and is then used by unit


20


to make decisions to assign fingers


16


, de-assign fingers


16


, or continue to use the fingers


16


already assigned to a multipath, as explained below. The signals


100


from unit


20


are applied to timing/control unit


52


of each of the fingers


16


to make the initial finger assignments for rake receiver


10


.




The filtering performed by bandpass filter


28


and matched filter


32


rejects out-of-band interference and noise, and matched filter


32


matches the pulse shape of the transmitted signal for optimal performance under the additive white Gaussian Noise channel assumption. However, the well-known effect of bandpass filter


28


is to degrade the correlation properties of the PN sequence. See, e.g., R. Dixon,


Spread Spectrum Systems with Commercial Applications


, 3


rd


ed., Wiley Interscience, p. 264 (1994). The degradation can be calculated using the derivations found in A. Viterbi,


CDMA Principles of Spread Spectrum Communication


, Addison-Wesley, Ch. 3 (1995). For example, assuming a received signal at baseband given by:






Σ


k


(m(k)a


I




n


(k)δ(t−kT


c


)cos(2πft+φ)+m(k)a


Q




n


(k)sin(2πft+φ))*h(t−kT


c


)  (1)






wherein m(k) is the kth symbol, a


I




n


is the in-phase PN sequence, a


Q




n


is the quadrature-phase PN sequence, T


c


is the chip period, f is the carrier frequency, φ is an unknown phase, and h(t) is the transmitter bandpass filter impulse response. The term m(k) is constant over a number of chips N


c


, and is known for the pilot channel and unknown for the traffic channel.




Referring to

FIG. 2

, searcher unit


18


includes a search engine element as shown. Searcher unit


18


includes in-phase and quadrature-phase samplers


102




I


and


102




Q


, a de-spreader element


104


, accumulators


106




I


and


106




Q


, and a magnitude squaring unit


108


. Assuming perfect match filtering, the in-phase signal input


110




I


to de-spreader element


104


is given by:






Σ


K


(a


I




n


(k)cosφ+a


Q




n


(k)sinφ) h(t−kT


c)*h′(t)


  (2)






and the quadrature-phase signal input


1100




Q


to element


104


is given by:




 Σ


K


(a


Q




n


(k)cosφ−a


I




n


(k)sinφ)h(t−kT


c


)*h′(t)  (3)




wherein h′(t) is the impulse response of match filter


32


. De-spreader


104


is a complex de-spreader which multiplies each chip sample by a


I




n


(k)−ja


Q




n


(k). Letting H(t−kT


c


)=h(t−kT


c


)*h′(t), then the signal


112


(neglecting interference terms) at the output of accumulator


106


is N


c


H(delay)e


−jφ


, wherein delay is a small delay in the generated PN timing in complex de-spreader


104


. Magnitude squaring unit


108


eliminates the arbitrary initial phase such that measurements


98


are proportional to H(delay)


2


. Assuming perfect matched filtering in an IS-


95


compatible system, the loss is on the order of 11 dB for a ¾ chip delay, 4 dB for a ½ chip delay, 2 dB for a ⅜ chip delay, 1 dB for a ¼ chip delay, and 0.2 dB for a ⅛ chip delay. Thus, searcher unit


18


typically measures the multipath environment with ½ chip resolution to avoid unacceptable signal loss due to sampling errors. Although it is possible to use a searcher unit with higher resolution than the typical ½ chip, such high-resolution searchers require increased hardware complexity which may not be appropriate or desirable for use in CDMA mobile stations or base stations.




Referring briefly back to

FIG. 1

, finger processing elements


16


have a higher (i.e., finer) timing resolution than the typical ½ chip timing resolution of searcher unit


18


. This higher timing resolution is required by code tracking loop


88


. See, e.g., R. Dixon,


Spread Spectrum Systems with Commercial Applications


, 3


rd


Ed., Wiley lnterscience, pp. 254-261 (1994). Code tracking loop


88


is generally implemented by a delay-locked loop which processes a difference signal between amplitudes of the early and late signal components


86


and


84


with an integration filter followed by a threshold detector which triggers a timing adjustment from timing/control unit


52


via signal


90


. The timing adjustment resolution of timing/control unit


52


is generally in the range of {fraction (1/16)} to ¼ chip, and is typically ⅛ chip. Thus, the timing resolution of fingers


16


are typically greater (i.e., finer) than the timing resolution of searcher unit


18


. As described below, finger assignment and control unit


20


processes measurements


98


to provide initial finger assignment signal


100


which, when applied to timing/control unit


52


, allows timing of fingers


16


to be initialized using the higher (i.e., finer) resolution of finger


16


rather than the lower (i.e., coarser) resolution of searcher unit


18


.




Referring to the flow chart of

FIG. 3

, the processing steps performed by finger assignment and control unit


20


to generate initial finger assignment signal


100


are shown. At step


200


, unit


20


reads sequences of measurements


98


taken by searcher unit


18


. These sequences represent multipath profiles or signal amplitudes of the RF signal as a function of timing offset. At steps


202


and


204


, unit


20


processes the multipath profiles for data reduction and identifies the best candidate multipaths of the RF signal to demodulate. The best candidate multipath is that path with the largest amplitude, since the amplitude reflects signal strength. In previous CDMA rake receivers, the peak location of the best candidate path determined by the searcher unit was used to make the initial finger assignment. However, if searcher unit


18


has a search timing resolution T (e.g., ½ chip), there would have been ±T/2(e.g., ±¼ chip) uncertainty in the initial finger assignment even though fingers


16


typically have a higher (i.e., finer) timing resolution (e.g., ⅛ chip) than the timing resolution of the searcher unit. The resulting timing misalignment due to this initial finger assignment would have caused performance losses of as much as 1 dB until the code tracking loop would have had sufficient time to correct the error.




This loss can be significant in the dynamic environments in which CDMA mobile stations and base stations operate. To improve the initial finger assignment, unit


20


estimates the peak path location as a function of the sequence of measurements taken by searcher unit


18


as explained below.




This technique is useful both for receivers having code tracking loops, and those without.




At step


206


, unit


20


determines whether a finger


16


of receiver


10


is currently available (i.e., is there is a finger


16


that is not currently de-modulating an assigned multipath?). If so, unit


20


derives a timing offset for the best candidate path at step


208


, as described below, and assigns the available finger


16


to the best candidate path using the derived timing offset at step


210


. If no finger


16


is available, unit


20


determines at step


212


whether the best candidate path is better than a multipath currently being de-modulated by one of fingers


16


. If so, unit


20


again derives a timing offset for the best candidate path at step


208


, and re-assigns that finger


16


to the best candidate path using the derived timing offset at step


210


. If not, unit


20


does not perform the deriving or assigning steps


208


or


210


.




At step


208


, unit


20


uses the measurements taken at the best candidate path, and the measurements taken with adjacent timing offsets (i.e., ½ chip apart for a ½ chip resolution searcher unit


18


), to derive a timing offset for the best candidate path. Let M(−1), M(0) and M(1) be the measurements taken by searcher unit


18


, with M(0) being the measurement corresponding to the best candidate path and M(−1) and M(1) being the measurements taken adjacent to M(0) (i.e., M(−1) and M(1) being taken ½ chip before and ½ chip after M(0), respectively, for a ½ chip resolution searcher). Each measurement can be either the correlation function, or the square root thereof (i.e., the signal amplitudes). The multipath profile of RF signal


24


can be approximated using the quadratic:






Y=A*t


2


+B*t+C  (4)






the unknown coefficients A, B and C being the solution to the linear system:






A−B+C=M(−1)  (5)








C=M(0)  (6)








A+B+C=M(1)  (7)






The peak of the quadratic, corresponding to the multipath with peak signal strength, can be found by setting the time derivative of profile Y equal to 0:






dY/dt=2*A*t+B=0  (8)






Combining equations (5)-(8), and solving for t, yields:






t=(M(−1)−M(1))/(2*(M(−1)+M(1)−2*M(0)))  (9)






The timing offset of the peak is then estimated based upon the quadratic approximation as t/f, where 1/f is defined as the fraction of a chip corresponding to the measurement sampling period (e.g., the timing offset =t/2 for a ½-chip searcher). This estimate timing offset is used by unit


20


to assign or re-assign a finger


16


to the location of the best candidate path.




This parabolic or quadratic approximation may be implemented on a digital signal processing (DSP) integrated circuit, in either floating or fixed point. Alternatively, since the computational load is relatively low, the processing could also be implemented on a microcontroller (MCU) or other hardware circuitry capable of performing the process shown in FIG.


3


.




Searcher unit


18


may take a large number of measurements to measure a relatively large window. However, as shown by the equations above, only the M(−1), M(0) and M(1) measurements from searcher unit


18


need be processed by unit


20


since only these measurements contain the amplitude data for the peak location and its adjacent locations. Thus, at step


202


, unit


20


may process the sequence of measurements from searcher unit


18


to reduce the amount of data. Reducing the data to eliminate the other measurements minimizes the amount of data transfer that will be required, and minimizes the memory requirements for the DSP or MCU. Further, even if the largest M correlation values and PN locations are sorted and stored rather than only the best local peaks, the required information is very likely to be available because of the broad shape of the correlation function.




Referring to

FIG. 4

, an example of the quadratic approximation performed by finger assignment and control unit


20


at step


208


is shown. The x-axis represents the relative timing offset (in chips), and the y-axis represents the correlation output. Thus, the graph illustrates an exemplary multipath profile of RF signal


24


. This example assumes that searcher unit


18


takes measurements using a ½ chip timing resolution. As can be seen, the ½ chip timing resolution caused an error in measuring the best candidate path, which occurred at a relative timing offset of approximately 0.19 chip. The best candidate path, identified at step


204


, is located at a relative timing offset of 0 and has a correlation measurement M(0) of 0.9345. The adjacent measurements, located at relative timing offsets of +/−0.5 chip, had correlation measurements M(−1) of 0.3563 and M(1) of 0.8540, respectively. Application of equation (9) yields an estimated timing offset from the quadratic of t/2=0.19 chip. Thus, in this example, unit


20


would add 0.19 chip, or its equivalent quantized value, to the PN offset corresponding to the largest value. For a finger


16


having a timing/control unit


52


with a timing adjustment resolution of ⅛ chip, the 0.19 chip would result in a ⅛ chip timing adjustment (i.e., with a ⅛ chip resolution, a ⅛ chip adjustment is the nearest approximation to the 0.19 chip estimate).




In reality, however, the shape of the multipath profile measured by searcher unit


18


may not be accurately represented by a quadratic. Non-quadratic shapes may occur, for example, due to the pulse shaping of the transmitter and the particular implementation of the matched filter in the receiver. For example, the multipath profile may have the non-quadratic shape shown in FIG.


5


. When the profile has such a non-quadratic shape, the estimated timing offset from the quadratic may not be sufficiently accurate. However, assuming that the actual profile measured by the searcher unit can be estimated through empirical measurements or theoretical calculations, one can a priori predict the estimation error introduced by the use of the quadratic approximation on a non-quadratic profile shape. Based on the actual profile information, a correction curve can be determined, and can be used to generate correction factors. These factors, in turn, can be applied to the estimated timing offset from the quadratic to correct the estimated timing offset.




Referring to

FIG. 6

, a curve showing the relationship between the estimated timing offset, determined by quadratic approximation as described above, and the actual timing offset, determined by empirical measurements or theoretical calculations, is shown for the exemplary non-quadratic correlation function illustrated in

FIG. 5. A

perfect quadratic correlation function would result in the curve of

FIG. 6

being a straight line having a slope such that the estimated timing offset from the quadratic fit equals the actual timing offset. However, because of the non-quadratic shape of the correlation function of

FIG. 5

, the timing offsets are slightly biased toward positive values. For a peak perfectly centered at a timing offset of 0, the quadratic approximation of the correlation function of

FIG. 5

would yield an estimated peak location of approximately 0.1 chip. The correlation function of

FIG. 5

can be used to build a calibration or lookup table, stored in unit


20


, with actual estimates given by FIG.


6


and indexed by the estimated timing offset derived using the quadratic fit method. Alternatively, a table of corrections could be stored having an unbiased estimator.




For the example shown in

FIGS. 5 and 6

, the corresponding correction curve is shown in FIG.


7


. The estimated timing offset from the quadratic is used by unit


20


as an index (to the x-axis of the curve) to determine a correction factor (found on the y-axis of the curve). The correction factor is applied to the estimated timing offset from the quadratic simply by adding it to the estimated timing offset. For example, if the estimated peak location is 0, a correction factor of approximately −0.1 chip is added to the estimated peak location to determine the actual peak location. The corrected timing offset is then used to initialized the finger assignment for the best candidate path. Alternatively, the correction curve shown in

FIG. 7

could be parametrized using polynomials. Because the corrections are second order corrections, low-order polynomials (e.g., 3


rd


order polynomials) may be used.




As described above, rake receiver


10


can estimate the path locations of the best multipaths, and can assign the finger units to these multipaths, with resolutions or accuracies exceeding that of the searcher unit. For example, with a ½ chip resolution searcher unit, the fingers can be assigned with ¼ or ⅛ chip resolution and accuracy. ¼ or ⅛ chip resolution will yield a maximum SNR loss of about 0.12 dB or 0.06 dB, respectively. By estimating the path locations as described above, a lower-resolution searcher unit having a less-complex hardware implementation can still be used.




As described above, the method and apparatus of the present invention can be used to make the initial finger assignments in a CDMA rake receiver for incorporation in either a base station or a mobile station. In addition, the above-described approach can be used to make adjustments or corrections to the finger timing during operation of a rake receiver at a speed which is faster than the speed at which the delay-locked loop makes such adjustments. For the updating application, the algorithm described above is implemented by each finger


16


within a tracking block which replaces code tracking loop


88


in FIG.


1


. The algorithm processes the on-time, early and late samples to derive a timing offset in a manner similar to that described above (e.g., by passing a quadratic through the on-time, early and late samples), and uses the derived timing offset to adjust tracking adjustment signal


90


so that the finger tracks the on-time signal. A correction factor based on a correction curve or lookup table can be generated and applied to the derived timing offset from the quadratic to account for non-quadratic effects. Thus, the timing of fingers


16


is adjusted instantaneously to track the on-time signal during operation of the receiver, eliminating the need to wait for the relatively slow adjustments that are performed by the delay-locked loop within code tracking loop


88


. The adjustment of fingers


16


during operation of the rake receiver using the above algorithm can be performed regardless of whether or not the previously-described algorithm is used to make the initial finger assignments.




It will be evident that there are additional embodiments and applications which are not disclosed in the detailed description but which clearly fall within the scope and spirit of the present invention. For example, although the estimated timing offsets may be derived as a function of a quadratic equation, other functions or formulas may be used to derive the estimated timing offsets from the appropriate measured or sampled signal inputs. The specification is, therefore, not intended to be limiting, and the scope of the invention is to be limited only by the following claims.



Claims
  • 1. A method of assigning finger processing elements in a rake receiver for use in a CDMA communications system, comprising the steps of:receiving a spread-spectrum radio-frequency (RF) signal having a plurality of multipath signal components forming a multipath profile; measuring the multipath profile of the RF signal to obtain a sequence of measurements, wherein adjacent measurements within the sequence are separated by a predetermined timing resolution, and each measurement has an amplitude indicative of signal strength; identifying the best candidate path of the RF signal to demodulate by determining which measurement within the sequence of measurements has the highest signal strength; deriving a timing offset for the best candidate path as a function of at least the measurement for the best candidate path and the measurements adjacent thereto, wherein the derived timing offset has a resolution higher than the predetermined timing resolution; and assigning a finger processing element of the rake receiver to the best candidate path using the derived timing offset.
  • 2. The method of claim 1, further comprising the step of demodulating the RF signal to obtain its in-phase and quadrature-phase components, wherein the measuring step includes sampling the in-phase and quadrature-phase components of the RF signal, de-spreading the sampled components, accumulating the de-spread components, and squaring the magnitude of the accumulated RF signal to obtain the measurement of the RF signal.
  • 3. The method of claim 1, wherein the deriving step includes defining a quadratic to approximate the multipath profile of the RF signal by passing substantially through the measurement for the best candidate path and the measurements adjacent thereto, and solving for the peak of the quadratic to estimate the timing offset for the best candidate path.
  • 4. The method of claim 3, wherein the quadratic has the form Y=A*t2+B*t+C, the coefficients being the solution to a linear system defined by:A−B+C=M(−1) C=M(0) A+B+C=M(1); M(0) being the measurement for the best candidate path, and M(−1) and M(1) being the measurements adjacent to M(0).
  • 5. The method of claim 4, wherein the peak of the quadratic occurs at:t=(M(−1)−M(1))/(2*(M(−1)+M(1)−2*M(0))); and the estimated timing offset from the quadratic is t/f, where 1/f is the fraction of a chip corresponding to the predetermined timing resolution.
  • 6. The method of claim 3, wherein the deriving step further includes generating a correction factor and applying the correction factor to the estimated timing offset from the quadratic, wherein the correction factor is generated using the estimated timing offset from the quadratic as an index to a correction curve representing differences between a set of estimated timing offsets determined using the quadratic and actual timing offsets.
  • 7. The method of claim 3, wherein the deriving step includes generating a correction factor and applying the correction factor to the estimated timing offset from the quadratic, wherein the correction factor is determined using the estimated timing offset from the quadratic as an index to a lookup table having an unbiased estimator.
  • 8. The method of claim 1, wherein the predetermined timing resolution of the measurements is ½ chip.
  • 9. The method of claim 8, wherein the resolution of the derived timing offset is within a range between {fraction (1/16)} chip and ¼ chip.
  • 10. The method of claim 8, wherein the resolution of the derived timing offset is ⅛ chip.
  • 11. A method of assigning finger processing elements in a rake receiver for use in a CDMA communications system, comprising the steps of:receiving a spread-spectrum radio-frequency (RF) signal having a plurality of multipath signal components forming a multipath profile; measuring the multipath profile of the RF signal to obtain a sequence of measurements, wherein adjacent measurements within the sequence are separated by a predetermined timing resolution, and each measurement has an amplitude indicative of signal strength; identifying the best candidate path of the RF signal to demodulate by determining which measurement within the sequence of measurements has the highest signal strength; and determining whether a finger processing element is available and, if so, deriving a timing offset for the best candidate path as a function of at least the measurement for the best candidate path and the measurements adjacent thereto, the resolution of the derived timing offset being higher than the predetermined timing resolution, and assigning the available finger processing element to the best candidate path using the derived timing offset.
  • 12. The method of claim 11 wherein, if no finger processing element is available, the determining step also determines whether the candidate best path is better than a path currently being demodulated and, if so, performs the deriving and assigning steps for the finger processing element which is currently demodulating the path that is worse than the candidate best path.
  • 13. The method of claim 12 wherein, if no finger processing element is available and the candidate best path is not better than a path currently being demodulated, the deriving and assigning steps are omitted.
  • 14. A rake receiver for use in a CDMA communications system, comprising:an antenna for receiving a spread-spectrum radio-frequency (RF) signal having a plurality of multipath components forming a multipath profile; a plurality of finger processing elements coupled to the antenna, each finger processing element being configured to be assigned to a particular propagation path of the RF signal, and to demodulate the assigned propagation path of the RF signal to generate a demodulated signal; a searcher unit coupled to the antenna and configured to measure the multipath profile of the RF signal to obtain sequences of measurements, the searcher unit having a predetermined timing resolution which separates adjacent measurements within the sequences of measurements, and each measurement having an amplitude indicative of signal strength; a finger assignment and control unit coupled to the searcher unit and the plurality of finger processing elements and configured to read the sequences of measurements, to identify the best candidate paths of the RF signal to demodulate by determining which measurements within the sequences have the highest signal strengths, to derive timing offsets for the best candidate paths as a function of at least the measurements for the best candidate paths and the measurements adjacent thereto, wherein the derived timing offsets have resolutions higher than the predetermined timing resolution of the searcher unit, and to assign the finger processing elements to the best candidate paths using at least the derived timing offsets; and a combiner coupled to the plurality of finger processing elements and configured to combine the demodulated signals from each of the finger processing elements to generate an output signal from the rake receiver.
  • 15. The rake receiver of claim 14, further including an input circuit coupled to the antenna, the input circuit including a bandpass filter for filtering the received RF signal, a demodulator for demodulating the bandpass-filtered signal into its in-phase and quadrature-phase components, and a matched filter corresponding to the transmitted pulse shape of the RF signal for filtering the in-phase and quadrature-phase components, wherein the input circuit generates in-phase and quadrature-phase output signals which are applied to the plurality of finger processing elements and the searcher unit.
  • 16. The rake receiver of claim 14, wherein the finger processing elements receive in-phase and quadrature-phase components of the RF signal, and the finger processing elements include early, on-time and late samplers for sampling the in-phase and quadrature-phase components of the RF signal.
  • 17. The rake receiver of claim 16, wherein the finger processing elements further include a timing/control unit for adjusting timing of the early, on-time and late samplers in response to at least the timing offsets for the best candidate paths derived by the finger assignment and control unit.
  • 18. The rake receiver of claim 17, wherein the finger processing elements further include a plurality of de-spreaders for de-spreading the early, traffic-channel and pilot-channel on-time, and late in-phase and quadrature-phase samples using in-phase and quadrature-phase PN sequences.
  • 19. The rake receiver of claim 18, wherein the finger processing elements further include a plurality of signal processing units for performing multiple access separation on the early, traffic-channel on-time, pilot-channel on-time, and late in-phase and quadrature-phase samples, and also include a plurality of integrators for accumulating each of the processed samples.
  • 20. The rake receiver of claim 19, wherein the finger processing elements further include a code tracking loop which receives the early and late samples of the traffic or pilot channel, and generates a tracking adjustment signal based on the difference between the early and late samples which is used to adjust the timing of the timing/control unit such that the early, on-time and late samplers track the timing of the path being demodulated.
  • 21. The rake receiver of claim 20, wherein the finger processing elements further include a demodulator for demodulating the traffic-channel on-time samples using the pilot-channel on-time samples to estimate the traffic channel.
  • 22. The rake receiver of claim 14, wherein the searcher unit receives in-phase and quadrature-phase components of the RF signal, and the searcher unit includes samplers for sampling the in-phase and quadrature-phase components, a de-spreader for de-spreading the sampled components, accumulators for accumulating the de-spread components, and a squaring unit for squaring the magnitude of the accumulated RF signal.
  • 23. The rake receiver of claim 14, wherein the finger assignment and control unit derives the timing offsets by defining a quadratic which approximates the multipath profile of the RF signal by passing through the measurement for the best candidate path and the measurements adjacent thereto, and solving for the peak of the quadratic to estimate the timing offset for the best candidate path.
  • 24. The rake receiver of claim 23, wherein the quadratic has the form Y=A*t2+B*t+C, the coefficients being the solution to a linear system defined by:A−B+C=M(−1) C=M(0) A+B+C=M(1); M(0) being the measurement for the best candidate path, and M(−1) and M(1) being the measurements adjacent to M(0).
  • 25. The rake receiver of claim 24, wherein the peak of the quadratic occurs at:t=(M(−1)−M(1))/(2*(M(−1)+M(1)−2*M(0))); and the estimated timing offset from the quadratic is t/f, where 1/f is the fraction of a chip corresponding to the predetermined timing resolution.
  • 26. The rake receiver of claim 23, wherein the finger assignment and control unit generates a correction factor and applies the correction factor to the estimated timing offset from the quadratic, the correction factor being determined using the estimated timing offset from the quadratic as an index to a correction curve representing differences between a set of estimated timing offsets determined using the quadratic and actual timing offsets.
  • 27. The rake receiver of claim 23, wherein the finger assignment and control unit generates a correction factor and applies the correction factor to the estimated timing offset from the quadratic, the correction factor being determined using the estimated timing offset from the quadratic as an index to a lookup table having an unbiased estimator.
  • 28. A method of adjusting finger processing elements in a rake receiver for use in a CDMA communication system, comprising the steps of:receiving a spread-spectrum radio-frequency (RF) signal having a plurality of multipath signal components forming a multipath profile; sampling one of the multipath signal components of the spread-spectrum RF signal to obtain early, on-time and late samples using a finger processing element; deriving a timing offset for the on-time sample as a function of at least the early, on-time and late samples of the sampled multipath signal component; defining a quadratic which passes substantially through the early, on-time and late samples, and solving for a peak of the quadratic to estimate the timing offset for the one-time sample; generating a correction factor and applying the correction factor to the estimated timing offset from the quadratic; and adjusting the finger processing element to track the timing of the on-time sample of the sampled multipath signal component using the derived timing offset.
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5652748 Jolma et al. Jul 1997
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5889768 Storm et al. Mar 1999
5926503 Kelton et al. Jul 1999