Improved numerical technique for oscillator frequency stability analysis

This paper is concerned with two related aspects of the recent research work carried out at Portsmouth Polytechnic in the UK regarding numerical and digital techniques for the measurement and synthesis of phase noise in oscillators.The first aspect concerns the introduction of a statistical quantity termed extended Hadamard variance to be applied in frequency stability analysis by making use of digital frequency counter measurements. The properties, the potential interest and the usefulness of this parameter are briefly demonstrated and applied to the study of a signal from a synthesizer f.m. modulated by white noise followed by the frequency counter and signal processing. It is shown that not only the Hadamard variance but the Allan variance and the extended twosample variance are such sets of this variance.The second aspect quite important and closely related to the first one refers to modem requirements for numerical simulation of random noise. emulating phase or frequency fluctuations, and with the following features: (a) variable slope a of the power spectrum S, cf ) -f a with a a positive or negative real number (not necessarily integer), and (b), in parallel with (a), the ability to generate noise with a predetermined amplitude distribution (uniform, Gaussian, etc). The paper describes the autoregressive integrated moving average technique used to generate the various types of random noise including the radio propagation f.m. noise (S,(f) and the Monte Carlo approach to transform from one distribution to another.

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Improved numerical technique for oscillator frequency stability analysis

Cited by 2 publications

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A Novel Approach to the Simultaneous Measurement of Phase and Amplitude Noises in Oscillator

A Novel Approach to the Simultaneous Measurement of Phase and Amplitude Noises in Oscillator

Extended variances and autoregressive/moving average algorithm for the measurement and synthesis of oscillator phase noise

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