The present disclosure relates generally to wireless communications, and more particularly to estimating signal-to-interference ratios (SIRs) in wireless communications devices, for example, in a rake receiver of W-CDMA based user equipment, devices and methods.
The performance of W-CDMA communications systems employing fast power control is generally dependent on an inner-loop power control algorithm, which requires an estimation of a signal-to-interference ratio (SIR), also referred to herein as the signal-to-noise ratio (SNR), at the output of the rake receiver. In W-CDMA communications systems, the mobile user equipment (UE) transmits to the network a power control command based on estimated SNR, at a 1500 Hz (slot) rate, for use in controlling transmission power at the network. The estimated SNR is also used by mobile user equipment for base station selection.
It is known to estimate the signal to noise ratio based on the ratio of a biased signal power estimator and a biased noise power estimator. The problem associated with this known SNR estimator is that it is characterized by a strong bias and substantial variance. Merely providing unbiased signal and noise estimators is generally insufficient to ensure that the resulting SNR estimator will be unbiased. Furthermore, since bias is a function of the signal to noise ratio, the performance of the SNR is potentially sensitive to the actual signal and noise power, particularly under diverse channel conditions, for example, those typical of multi-path fading propagation channels in wireless communications systems.
WO 99/66643 entitled “Device And Method For Measuring Non-Orthogonal Noise Power For CDMA Communication System” discloses detecting non-orthogonal noise power by squaring a difference between adjacent symbols.
Beaulieu et al. proposes in a publication entitled “Comparison of Four SNR Estimators for QPSK Modulations” IEEE Communications Letters, Vol. 4, No. 2, February 2000 an empirical method for compensating for over-estimation of SNR that results in an approximately unbiased SNR estimator when the SNR is large and the channel, which includes additive white Gaussian noise (AWGN), is not fading. However, the SNR level on each path of multi-path fading propagation channels typical of wireless communications systems are usually relatively low. Therefore, the scheme proposed by Bealieu is unsuitable for unbiasing an estimated SNR in wireless communications applications.
The various aspects, features and advantages of the disclosure will become more fully apparent to those having ordinary skill in the art upon careful consideration of the following Detailed Description thereof with the accompanying drawings described below.
The present disclosure relates generally to providing an unbiased signal to noise ratio (SNR) estimator in wireless communications devices, for example, in 3rd Generation (3G) Universal Mobile Telephone System (UMTS) W-CDMA implementation wireless communications devices, also referred to as user equipment (UE). The disclosure relates more particularly to methods for unbiasing SNR estimators in the wireless communications devices. For mobile wireless communications applications, the SNR is preferably unbiased substantially if not completely for all channel conditions and SNR levels.
In W-CDMA cellular communications systems, for example, in 3rd Generation Universal Mobile Telephone System (3G UMTS) wireless communications networks, wireless mobile communications devices transmit SNR estimation information to the network, which uses the SNR information to allocate downlink transmission power resources. The signal to noise ratio estimation may also be used for base station selection.
In
dli[n,k]=al[n,k]zli[n,k]+ηli[n,k], (1)
In Equation (1), al[n, k] is the normalized (magnitude of one) transmitted symbol, which is known in the case of pilot symbols, and ηli[n,k] is the noise. The quantity zli[n,k] is the propagation channel, whose magnitude squared represents the received power for the associated propagation path. In some embodiments, the de-spread signal is normalized by the spreading factor. Without loss of generality, the following assumes that the signals are normalized by the spreading factor, although more generally normalization is not required. The notation of Equation (1) above is used below to describe the proposed estimators.
The modulation is first removed from the signal in block 201 of
The estimated noise power is generally averaged over some time interval. In most applications, the channel may be considered substantially constant over two symbols. The norm of this estimate produces an unbiased estimate of the noise power, which is averaged over time. In one embodiment, for example, the noise power is estimated by averaging a plurality of at least two noise power estimates obtained over an interval, wherein each of the noise power estimates is based on a difference between at least two symbols. Each symbol is used to compute not more than one difference, although in other embodiments each symbol is used to compute more than one of the differences used to estimate the noise power. More generally, the noise power estimate is based on weighted estimates of noise power on one or more channels, for example, on a Common Pilot Channel (CPICH) or on a Dedicated Pilot Channel, which is time multiplexed on a Dedicated Physical Channel (DPCH) in W-CDMA applications.
Suppose, for example, that there are NPILOTl (even) pilot symbols per slot on the lth physical channel. In embodiments where a single pole infinite impulse response (IIR) filter is used, the noise power for the nth slot on the ith propagation path is estimated below in Equation (2) as follows:
In Equation (2), pPILOTl is the position (starting from the beginning of a slot to which position 0 is assigned) of the first pilot symbol on the lth physical channel. And α is the pole of the Infinite Impulse Response (IIR) filter, which is used to filter the noise power estimation. The IIR filter pole is constrained by the condition α<1.
In embodiments where a moving average Finite Impulse Response (FIR) filter is used, the noise power for the nth slot on the ith propagation path is estimated below in Equation (3) as follows:
In Equation (3), K is the number of slots over which the moving average FIR filter filters the noise power estimates. Other filters may be used in other embodiments, for example, multi-pole IIR filters, or more general FIR filters. In
In one embodiment, the noise power of one channel is estimated based upon an estimation of noise power on another channel. In W-CDMA applications, for example, unless the user equipment receives the signal from a beam antenna, it is usually preferable to perform the noise power estimation using the Common Pilot Channel (CPICH) rather than the Dedicated Physical Channel (DPCH) signal. The CPICH typically has more pilot symbols per slot than the DPCH and thus the accuracy of the noise power estimator is enhanced. When estimating noise power on one channel based upon the noise power of another channel, it may be necessary to scale the noise power estimation. In some embodiments, the different channels on which the noise estimates are made have different symbol rates. In the exemplary W-CDMA application, where the noise power on the DPCH is estimated based upon an estimation of the noise power on the CPICH, the estimation of the noise power on the DPCH is scaled by a ratio of the spreading factors of the CPICH and DPCH in Equation (4) as follows:
The scaling is necessary because the spreading factor of the DPCH, SDPCH, may be different from the spreading factor of the CPICH, SCPICH. The scaling factor may be 1 or some other value. The relation of the spreading factors is generally dependent upon the normalization by the spreading factor, as discussed above. When the noise power estimation is performed using the CPICH instead of the DPCH, the variance is reduced by a factor NPILOTDPCH/NPILOTCPICH, which is a ratio of pilot symbols of the Dedicated Physical Channel (DPCH) and pilot symbols of the Common Pilot Channel (CPICH), for noise power estimation using the CPICH l=CPICH and pPILOTCPICH=0.
The estimated signal to noise ratio is also based upon an estimated signal power estimation. In
In the exemplary W-CDMA application, since the dedicated physical channel (DPCH) is power controlled, signal power estimation, unlike noise power estimation, must be estimated utilizing the DPCH. The exemplary estimator uses the dedicated pilot symbols, the data symbols, the power control symbols (TPC) and the frame format indicator symbols (TFCI). Suppose, for example, that there are NPILOTDPCH dedicated pilot symbols, NDATADPCH data symbols, NTPCDPCH TPC symbols and NTFCIDPCH TFCI symbols per slot, then instantaneous signal power for the nth slot on the ith propagation path can be estimated as a linear combination of the four power estimators (the over bar refers to an estimate of the quantity underneath the bar) as follows in Equation (5)
where κPILOT, κDATA, κTPC and κTFCI are the combining coefficients given in Equation (6) as follows:
and the four estimators due to the different “logical” channels are given by the following Equations:
In Equations (7) and (9), the signal is coherently averaged. The norm is then taken to generate a biased estimate of the signal power. In one embodiment, the signal power is at least partially unbiased based on the noise power estimator, as indicated at block 225 in
The combining coefficients may be optimized to weight each estimator according to its accuracy and to its power offset with respect to the other logical and/or physical channels. The signal power estimator uses the noise power estimator described earlier. It is assumed that the receiver knows the power ratios of Equation (6). If this is not the case, the power ratios may be estimated. If it is desired or necessary to neglect any set of symbols, the number of symbols may be assumed to be zero. This causes the corresponding coefficient to evaluate to zero, as shown in Equation (6).
In
In
where for the single pole IIR filter embodiment L is given by Equation (12) as follows:
where α is a pole of the IIR filter discussed above. For the moving average FIR filter embodiment, L is given by Equation (13) as follows:
More generally, L is a function of filter parameters. Thus the biased SNR is scaled by the factor (L−1)/L and additional bias is subtracted from the SNR, preferably after scaling the SNR. In the exemplary embodiment, the quantity
is subtracted from the estimated SNR. The estimator of the rake receiver output SIR is given by Equation (14) as follows:
where M is the number of paths.
While the present disclosure and what are considered presently to be the best modes of the inventions have been described in a manner that establishes possession thereof by the inventors and that enables those of ordinary skill in the art to make and use the inventions, it will be understood and appreciated that there are many equivalents to the exemplary embodiments disclosed herein and that myriad modifications and variations may be made thereto without departing from the scope and spirit of the inventions, which are to be limited not by the exemplary embodiments but by the appended claims.
Number | Name | Date | Kind |
---|---|---|---|
4706263 | von der Embse | Nov 1987 | A |
5450453 | Frank | Sep 1995 | A |
5455967 | Amezawa et al. | Oct 1995 | A |
5819168 | Golden et al. | Oct 1998 | A |
5839056 | Hakkinen | Nov 1998 | A |
6292519 | Popovic | Sep 2001 | B1 |
6366605 | Schilling | Apr 2002 | B1 |
6690944 | Lee et al. | Feb 2004 | B1 |
6775521 | Chen | Aug 2004 | B1 |
6822998 | Yun et al. | Nov 2004 | B1 |
20020101832 | Chen et al. | Aug 2002 | A1 |
20030043893 | Jard et al. | Mar 2003 | A1 |
20030224836 | Tsai et al. | Dec 2003 | A1 |
20040071202 | Won et al. | Apr 2004 | A1 |
20040076132 | Tiirola et al. | Apr 2004 | A1 |
20040153950 | Tapaninen et al. | Aug 2004 | A1 |
20040184398 | Walton et al. | Sep 2004 | A1 |
20040196891 | Tapaninen | Oct 2004 | A1 |
20040203397 | Yoon et al. | Oct 2004 | A1 |
20050207476 | Anderson | Sep 2005 | A1 |
Number | Date | Country |
---|---|---|
WO 9966643 | Dec 1999 | WO |
WO 2004051902 | Jun 2004 | WO |
Number | Date | Country | |
---|---|---|---|
20040264604 A1 | Dec 2004 | US |