Arrangement, phase locked loop and method for noise shaping in a phase-locked loop
View Patent ↗A noise shaping arrangement for a phase locked loop includes a first order sigma-delta modulator arranged to provide a first-order quantized output and a feedback path output. A second order sigma-delta modulator is arranged to receive the feedback path output and provides a second order quantized output. A combination block combines the first and second order quantized outputs to provide a combined third order quantized output, which provides noise shaping with a frequency notch spectrum. In this way a new quantization noise shape of third order is provided, such that quantization phase noise may be lowered, the PLL loop bandwidth may be increased, modulation phase error may be reduced and PLL locking speed increased.
1. A noise shaping arrangement for a phase locked loop, the arrangement comprising:
a first order sigma-delta modulator arranged to provide a first-order quantized output and a feedback path output;
a second order sigma-delta modulator coupled to receive the feedback path output from the first order sigma-delta modulator and arranged to provide a second order quantized output; and
combination means arranged to combine the first and second order quantized outputs to provide a combined third order quantized output, wherein the combined third order output provides noise shaping with a frequency notch spectrum.
2. The arrangement of claim 1 wherein the frequency notch spectrum is used to locate one or more complex conjugate pairs of zeros.
3. The arrangement of claim 2 wherein the one or more complex conjugate pairs of zeroes is located on the unity circle.
4. The arrangement of claim 2 wherein the one or more complex conjugate pairs of zeroes is located away from the real axis.
5. The arrangement of claim 4 wherein the frequency location of the one or more complex pair of zeros is a selected one of substantially 365 kHz and substantially 518 kHz.
6. The arrangement of any preceding claim where the feedback path output of the first order sigma-delta modulator received by the second order sigma-delta modulator is scaled by a factor of substantially one quarter and wherein accumulators of the first order and second order sigma-delta modulator respectively have the same bit-size.
7. The arrangement of claim 1 , further comprising a delay block coupled between the feedback output of the first order sigma-delta modulator and the combination means.
8. The arrangement of claim 1 wherein the combination means includes scaling means coupled to scale the second order quantized output of the second order sigma-delta modulator by a predetermined scaling factor.
9. The arrangement of claim 8 wherein the predetermined scaling factor is substantially 2 −22 .
10. The arrangement of claim 1 , wherein the second order sigma-delta modulator is operable to cancel the quantisation noise of the first order sigma-delta modulator.
11. The arrangement of claim 1 wherein the feedback path output comprises a quantisation noise of the first order sigma-delta modulator.
12. The arrangement of claim 1 wherein the frequency notch spectrum comprises at least one non-DC frequency notch.
13. The arrangement of claim 1 wherein the second order sigma-delta modulator comprises a loop arrangement having a forward processing block implementing the transfer function given by the z-transform:
z
-
1
1
-
2
z
-
1
cos
θ
+
z
-
2
and a feedback processing block implementing the function given by the z-transform:
2
cos
θ
-
z
-
1
where
θ
=
2
π
f
f
s
and f is the desired notch frequency and f s is the sample frequency.
14. A phase locked loop incorporating the noise shaping arrangement of claim 1 .
15. A method for noise shaping in a phase-locked loop, the method comprising the steps of:
providing a first order quantized output from a first order sigma-delta modulator;
providing a second order quantized output from a second order sigma-delta modulator coupled to receive a feedback path output from the first sigma-delta modulator;
combining the first and the second order quantized outputs to provide a combined third order quantized output, wherein the combined third order output provides noise shaping with a frequency notch spectrum.
16. The method of claim 15 wherein the phase locked loop is a fractional-n phase locked loop frequency synthesizer.