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Discrete Time Simulation of Phase Noise

Discrete Time Simulation of Phase Noise

Assume the output waveform type is sinusoid. Let the signal from the first input be V_in(t), and the signal from the second input be dN(t). The relationship between the inputs and the outputs is given by:

Here, for envelope analysis

or for instantaneous analysis, and

, is the random phase noise process, with the power spectral density [1}:

A random phase noise process is generated by filtering a white Gaussian random sequence

through a filter with a frequency response , where

In general, the random phase noise process is a slowly time-varying process.

An example of phase noise simulation in a fractional-N synthesizer design is provided with Designer. Use the File menu to open the project:

InstallDirectory/Designer3/Examples/System/Motorola_Fractional_Synthesizer.adsn.

A paper describing this design is “Fast and Accurate Fractional-N Synthesizer Simulation Using Ansoft Designer™”, by Wael Al-Qaq, JianHua Gu, William J. Martin, and Jeffrey L. Cutcher (Motorola, Inc., Copyright 2004). A PDF version of this paper is provided in:

InstallDirectory/Designer3/Help/Frac_Synthesizer_IEEE_WAMI_2004.pdf

In both references, InstallDirectory is the directory where Designer is installed.

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