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Signal Processing via Fourier-Bessel Series Expansion

✍ Scribed by Jim Schroeder

Book ID
102967858
Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
807 KB
Volume
3
Category
Article
ISSN
1051-2004

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Fourier series expansions of noisy signa
Fourier series expansions of noisy signals β€” consistent estimation of the whole spectrum
✍ Ewaryst RafajΕ‚sowicz πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 233 KB

In this note the problem of estimating the Fourier series coefficients of a deterministic signal measured in a noise is discussed. Firstly, it is shown that if random errors are not taken into account, then the mean square error between the true spectrum and its commonly used estimator is infinite.