| CPC H03M 7/3008 (2013.01) [H03M 7/3026 (2013.01)] | 13 Claims |

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1. A fractional-N PLL device, comprising:
a voltage controlled oscillator;
a phase-locked loop comprising a multimodulus divider, wherein the phase-locked loop generates an output frequency from the controlled oscillator; and
a digital delta-sigma modulator (DDSM) configured to provide a sequence of integers to control the multimodulus divider to settle to a desired fraction,
wherein the DDSM is configured to generate an output signal y[n] responsive to an input signal x[n], a quantization error signal e[n] and a dither signal d[n] in accordance with an equation defined in the z domain as:
Y(z)=STF(z)X(z)+DTF(z)D(z)−NTF(z)E(z),
wherein Y(z), X(z), D(z) and E(z) are z-transforms of the output signal, the input signal, the dither signal, and the quantization error signal, and
wherein STF(z), DTF(z) and NTF(z) correspond to a transfer function of the input signal, a transfer function of the dither signal, and a transfer function of the quantization error signal, and wherein the transfer function of the quantization error signal is of the form:
![]() where A, Q and K are constants, coefficients ci are real valued and cK≠0 and wherein at least one of the zeroes zj of
![]() satisfies zj≠+1 for j=1, 2, . . . , K.
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