COMPARISON BETWEEN DIFFERENT SOLUTIONS IN SPECTRUM ANALYSIS

Domenico Mirri, Gaetano Iuculano, Gaetano Pasini, Pier Andrea Traverso, Fabio Filicori

Abstract

In this paper the conventional equally spaced sampling technique for spectrum analysis is compared to an asynchronous random sampling strategy, which has been previously proposed by authors for other broadband digital instrumentation. To this aim, two new approaches to the performance analysis are exploited, both being characterised by the fact that no classical DFT algorithms are applied. In the first method, the analytical expression for the estimate of signal harmonic components is defined as a direct approximation of the Fourier series coefficients and the parameters that characterise the measurement accuracy associated with the considered sampling strategy are deduced. Following the second approach, the spectral component estimates are treated as random variables, due to the presence in their operative definition of unknown parameters that can be interpreted as stochastic. The expected value and variance are deduced for each harmonic estimate, in order to compare the properties of the two sampling strategies. Simulation results are proposed in order to validate the theoretical findings, showing an excellent agreement.

Keywords

spectrum analysis, equally spaced sampling, random sampling, performance analysis

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PWC-2003-TC4-030.pdf

DOI

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IMEKO TC

TC4 - Measurement of Electrical Quantities

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