1. Field of the Invention
The present invention relates to fractional-N frequency synthesis, and more particularly to improving fractional spurious signal performance.
2. Related Art
The conventional analog integer-N PLL (phase locked loop) includes a VCO (voltage-controlled oscillator) locked to the desired output frequency Fout which is an integer multiple of a reference or phase comparison frequency Fout=N*Fcomp (where Fcomp may be derived from a reference oscillator frequency). VCO phase/frequency lock is established by a feedback control loop including a PD (phase detector, which may be implemented as a phase-frequency detector) and a feedback integer-N frequency divider—the PD compares Fcomp to the divided-down Fout/N, and provides phase/frequency control to the VCO. Thus, Fcomp determines the desired frequency resolution (also referred to as channel spacing or step size)—for each increment/decrement of N, Fout changes by Fcomp, and correspondingly the control loop will require a divide by N=Fout/Fcomp.
Frequency division is a source of phase noise (theoretically [20 log N]dB). Many applications for frequency synthesis require values of Fout and channel spacing Fcomp that require large values of N, such that the required divide-by-N control loop becomes a dominant source of phase noise.
A fractional-N PLL architecture reduces phase noise by significantly reducing the degree of frequency division required by the integer-N PLL—frequency synthesis resolution is a fractional portion of Fcomp, so that Fcomp can be greater than the channel spacing, thereby reducing the degree N of frequency division required by the control loop. For a given Fcomp and Fout, the reduction in N reduces in-band phase noise, and in addition allows increasing loop bandwidth to reduce lock time. The output frequency Fout is now Fout=(N+F)*Fcomp, where N+F comprises an integer part N and a fractional part F=Num/Den, and where Num (Numerator) and Den (Denominator) are integers.
Since digital dividers operate only with integer values, fractional division is implemented by switching between different integer divisors such that the average divisor value is equal to the loop divisor N+F. A problem with this divisor switching is that it introduces spurious sideband frequencies (“spurs” or “fractional spurs”), which must be filtered. When the offset frequency between Fout for a given channel and the primary spur is small, this spurious frequency will be less attenuated by PLL loop filter, and more sensitive to modulation nonlinearities.
Let Fos(Fch) represent the offset frequency between a given channel frequency Fch (i.e., Fout) and its primary fractional spur. For a given phase comparison frequency input to the PD Fpd (i.e. Fcomp), the offset frequency Fos(Fch) is
Fos(Fch,Fpd)=min(mod(Fch,Fpd),Fpd−mod(Fch,Fpd)), (1)
where the function min(x0,x1) is the smaller of x0 and x1, and
where the function INT(x) is the integer portion of any number x. Thus, when channel frequencies are closer to an integer multiple of Fpd (Fcomp), a smaller offset frequency Fos results.
These close-in primary spurs may fail to meet the spur mask requirement or be large enough to seriously degrade the RMS phase error performance. Alternatively, if the loop bandwidth is narrowed to filter out these close-in spurs, phase noise contributed by the VCO will increase, increasing integrated RMS phase error (RMS phase noise plus spurs) and phase lock time.
For example, in high data rate wireless communication applications, such as 4G/LTE and WIMAX, fractional spurs can be a significant problem both in the transmitted signal causing excessive emission power in adjacent channels, and in the receiver resulting in the down-conversion of undesired noise to baseband.
The Figures and the Detailed Description disclose exemplary embodiments that illustrate the principles and features of the invention.
This Detailed Description, together with the Figures, discloses embodiments that illustrate the principles and features of the invention. However, the scope of the subject invention is defined by the Claims, and is not intended to be limited to the exemplary embodiments, and alternate embodiments based on the principles and features of the invention may be implemented without departing from the scope of the presently claimed invention. Known circuits, functions and operations are not described in detail to avoid unnecessarily obscuring the principles and features of the invention.
In a brief overview, a fractional spur compensation technique is implemented in a fractional-N PLL using multiple phase comparison frequencies Fpd, one of which is selected for any channel frequency Fch in a target frequency band to obtain a selected offset frequency Fos between the channel frequency Fch and its primary fractional spur. The fractional spur compensation technique improves fractional spur performance by increasing the offset frequency Fos between a selected channel frequency Fch and its primary fractional spur throughout the target frequency band. Other features of an exemplary implementation of the fractional spur compensation technique include (a) maintaining the phase comparison frequency at less than a predetermined maximum value in relation to the target frequency band, (b) using a programmable reference frequency multiplier with selectable multiplication factors and/or a programmable reference frequency divider with selectable divide ratios to generate multiple phase comparison frequencies derived from a predetermined reference frequency Fref, and (c) using a programmable charge pump to select different charge pump currents for respective phase comparison frequencies to reduce loop gain variation.
Exemplary applications for the fractional spur compensation technique include improving fractional spur performance for any fractional-N PLL, including in combination with sigma delta compensation or other fractional spur compensation techniques, used in such applications as RF signal generation, local oscillators for radio transmitters/receivers, etc.
Referring to
For the exemplary embodiment, the phase comparison signal generator 120 is implemented with controllable reference frequency multiplier 114 and reference frequency divider 102, separately controllable or programmable to generate a selected phase comparison frequency based on selectable multiplication factors in combination with selectable divide ratios.
According to conventional fractional-N PLL frequency synthesis, VCO 108 outputs a PLL output signal 109 which is locked to a selected channel frequency by a VCO control loop, which includes a fractional-N frequency divider 110—for the exemplary embodiment, fractional-N division is implemented by the fractional-N frequency divider 110 in combination with a sigma delta modulator 116 to assist in fractional spur compensation. Phase detector 104 provides a phase comparison of the phase comparison signal 103 from the phase comparison signal generator 120 and a feedback fractional-N divided VCO control loop signal 111 from the fractional-N frequency divider 110, such that the channel frequency is established by the fractional division value and not the phase comparison frequency. The phase comparison output from phase detector 104 is filtered by the loop filter 106 and input as a VCO control signal 107 to VCO 108, which in response locks the PLL output signal 109 to the selected channel frequency (as established by the fractional-N division provided by the VCO control loop).
For the exemplary embodiment, a system controller 112 (such as an FPGA or microcontroller) provides control signals for controlling PLL parameters, including controlling the phase comparison frequency generator 120 to generate a selected phase comparison frequency using selected frequency multipliers and frequency divide ratios. The variable PLL parameters for different channel frequencies can be either calculated in real-time, or pre-calculated and stored. Respective control signals 113m and 113r are provided to the phase comparison frequency generator 120 to control respectively the reference frequency multiplication factor for frequency multiplier 114 and the divide ratio for the frequency divider 102. Control signals 113n and 113f are provided respectively to the fractional-N divider 110 and the sigma delta modulator 116—alternatively, the controller 112 can provide just the control signal 113f to the sigma delta modulator 116, which then provides a fractional-N division control signal 117 to the fractional-N divider 110. Additionally, a control signal 113c can be provided to program charge pump circuitry in the phase detector 104.
Referring to
Referring to
Referring to
BFref≦Fl−Fos
Fh+Fos
where B is an integer not less than 0. Conditions (3), (4) are equivalent to:
Fref≧Fh−Fl+2Fos
where the function INT(x) is the integer portion of any number x.
Referring to
As a design example, if the target frequency band is [2110 MHz, 2170 MHz], and Fos
Referring to
lower than Fpd
Continuing the design illustration and assuming Fpd
lower than Fpd
In accordance with aspects of the invention, to address the issue discussed above, multiple phase comparison frequencies Fpd obtained by dividing down a sufficiently high frequency signal 115 Fref using multiple divisor values are used such that, for any given channel frequency Fch within a target frequency band [Fl,Fh], a selected one of the multiple phase comparison frequencies
is used to achieve an acceptable Fos, including satisfying the condition that each phase comparison frequency Fpd is less than a specified Fpd
Referring to FIGS. 5A/5B and 6, the selection of the phase comparison frequencies Fpd is a design choice consistent with the principles of the invention. For an illustrative design example, assume that the phase comparison frequencies Fpd are controlled by the selection of multiple divide ratios R (that is, ignoring the use of multiple multiplication factors alone or in combination with one or more divide ratios). If two integer numbers R0, R1 are used as the reference divide ratios, for a given channel frequency Fch, the function Fos(Fch,Fpd) as defined by Equation (1) in the Background can be used to choose either R0 or R1 as follows: (a) if
is not less than
then program R0 to the programmable phase comparison signal generator (120 in
Using this technique, the lower bound of Fos(Fch) for the target frequency band [Fl,Fh] is related to Fref, R0, and R1. If R0 and R1 are selected such that:
where GCF(R0, R1) is the greatest common factor of R0 and R1, then for any channel frequency Fch, within the target frequency band [Fl,Fh],
Fos(Fch)≧Fos
Continuing the design illustration, for most applications, R0 and R1 can be selected as consecutive integers R and R+1 greater than 1, so that R, R+1 are co-prime, i.e., GCF(R,R+1)=1. Hence the upper bound for R can be determined from Eq. (7) by solving the following:
which can be solved for R:
Alternatively, R can be determined during programming by predefining R0 and R1 so that either
is larger than Fos
is not less than Fos
Continuing the design illustration, a selected target frequency band is [Fl,Fh]=[2110 MHz, 2170 MHz], a selected frequency synthesis resolution (channel spacing or step size) is 100 kHz, and a selected Fos
Referring to
with the resulting Fos(Fch) as a function of Fch for the target frequency band as shown. It can be seen that the smallest Fos(Fch) for the whole frequency band is 8.70 Mhz, which is greater than the estimated lower bound 8.67 Mhz.
By comparison, referring to
An affect of using different phase comparison frequencies is that PLL loop gains are different for different reference divide ratios. For some applications, a substantially uniform loop gain is desirable. In accordance with aspects of the invention, as discussed above in connection with
For example, if R0=2, R1=3, and Icp0=2 mA, then Icp1 can be calculated to be
As stated previously, the variable PLL parameters R, Icp, N, Num, Den for the target frequency band can be calculated in real-time, or be pre-calculated and then stored for use during operation.
For a given channel frequency Fch, after the reference divide ratio R is determined in accordance with aspects of the invention, the fractional-N divider/counter parameters can be conventionally determined to achieve the target frequency based on the following:
where N is the integer portion of divide ratio, Num is the fractional numerator, and Den is the fractional denominator.
If the required frequency synthesis resolution is Fch=Fstepsize, then the fractional denominator Den can be determined by
where C>0 is any suitable positive integer. For different reference divide ratios (that is, different phase comparison frequencies), either a common denominator or different denominators can be used, although a common denominator is preferred for its simplicity. For example, if Fref=104 Mhz, Fstepsize=0.1 Mhz and C=1, then Den=104/0.1=1040 can be used.
The integer N and numerator Num portions can be determined as follows:
Referring to
Various other modifications and alternations in the structure and method of operation of this invention will be apparent to those skilled in the art without departing from the scope and the spirit of the invention. Although the invention has been described in connection with specific preferred embodiments, it should be understood that the invention as claimed should not be unduly limited to such specific embodiments. It is intended that the following claims define the scope of the present invention and that structures and methods within the scope of these claims and their equivalents be covered thereby.
This application is a non-provisional application based on and claiming priority from U.S. Provisional Patent Application No. 61/387,197, filed Sep. 28, 2010.
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