On discrete Fourier analysis of amplitude and phase modulated signals

• Autorzy: Waldemar Popiński
• Języki publikacji: EN

Abstrakty

EN

In this work the problem of characterization of the Discrete Fourier Transform (DFT) spectrum of an original complex-valued signal $o_t$, t=0,1,...,n-1, modulated by random fluctuations of its amplitude and/or phase is investigated. It is assumed that the amplitude and/or phase of the signal at discrete times of observation are distorted by realizations of uncorrelated random variables or randomly permuted sequences of complex numbers. We derive the expected values and bounds on the variances of such distorted signal DFT spectra. It is shown that the modulation considered in general entails changes in the amplitude and/or phase of the DFT spectra expected values, which together with imposed random deviations with finite variances can vary the amplitudes of peaks existing in the original signal spectrum, and consequently similarity to the original signal spectrum can be significantly blurred.

Kategorie tematyczne

• 62M15: Spectral analysis
• 62F12: Asymptotic properties of estimators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2012
• Tom: 39
• Numer: 1
• Strony: 57-69

Daty

wydano

2012

Twórcy

autor

Waldemar Popiński

• Space Research Centre, Polish Academy of Sciences, Bartycka 18a, 00-716 Warszawa, Poland

Identyfikatory

DOI

10.4064/am39-1-4