Quasimatched wavelet filtration

Authors

DOI:

https://doi.org/10.3103/S0735272711030034

Keywords:

signal analysis, spectral analysis, stationary spectrum, current spectrum, momentary spectrum, wavelet bispectrum, signal transform, Fourier transform, wavelet transform, correlation function, standardized correlation coefficient, matched filtering

Abstract

The wavelet analysis theory is considered as a state-of-the-art frequency-time method of signal processing for signals containing jumps, bursts and surges. A new method has been proposed for estimating the wavelet spectra of pulsed signals using the normalized correlation coefficient and a technique for matching the wavelet filters has been developed on the basis of the proposed method making it possible to enhance the quality and speed of digital signal processing.

References

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S. V. Porshnev, “Application of the Continuous Wavelet Transform for Processing of Broadband Frequency-Modulated Signals,” Computer Methods and Programming, 4, No. 1, 104 (2003).

A. A. Kharkevich, Spectra and Analysis (GITTL, Moscow, 1962) [in Russian].

S. M. Baskakov, Radio Circuits and Signals (Vyssh. Shkola, Moscow, 2000) [in Russian].

V. I. Vorob’ev and V. G. Gribun, The Theory and Practice of Wavelet Transforms (VUS, St. Petersburg, 1999) [in Russian].

A. A. Borodyn and Yu. K. Filipskii, “Quasimatched Wavelet Filters,” Trudy OPU, No. 2, 174 (2005).

Published

2011-03-01

Issue

Section

Research Articles