Optimal random sampling for spectrum estimation in DASP applications

• Autorzy: Andrzej Tarczynski , Dongdong Qu
• Języki publikacji: EN

Abstrakty

EN

In this paper we analyse a class of DASP (Digital Alias-free Signal Processing) methods for spectrum estimation of sampled signals. These methods consist in sampling the processed signals at randomly selected time instants. We construct estimators of Fourier transforms of the analysed signals. The estimators are unbiased inside arbitrarily wide frequency ranges, regardless of how sparsely the signal samples are collected. In order to facilitate quality assessment of the estimators, we calculate their standard deviations. The optimal sampling scheme that minimises the variance of the resulting estimator is derived. The further analysis presented in this paper shows how sampling instant jitter deteriorates the quality of spectrum estimation. A couple of numerical examples illustrate the main thesis of the paper.

Słowa kluczowe

EN

random sampling; optimal sampling; spectral analysis; digital alias-free signal processing

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2005
• Tom: 15
• Numer: 4
• Strony: 463-469

Daty

wydano

2005

otrzymano

2005-06-01

poprawiono

2005-09-01

Twórcy

autor

Andrzej Tarczynski

• Department of Electronic Systems, University of Westminster, 115 New Cavendish Street, London, W1W 6UW, UK

autor

Dongdong Qu

• Department of Electronic Systems, University of Westminster, 115 New Cavendish Street, London, W1W 6UW, UK

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