Bispectral Methods of Signal Processing: Applications in Radar, Telecommunications and Digital Image Restoration

✍ Scribed by Alexander V. Totsky; Alexander A. Zelensky; Victor F. Kravchenko

• Publisher: De Gruyter
• Year: 2014
• Tongue: English
• Leaves: 210
• Category: Library

✦ Synopsis

By studying applications in radar, telecommunications and digital image restoration, this monograph discusses signal processing techniques based on bispectral methods. Improved robustness against different forms of noise as well as preservation of phase information render this method a valuable alternative to common power-spectrum analysis used in radar object recognition, digital wireless communications, and jitter removal in images.

• Bispectral methods promise to be more noise resilient than common second-order techniques.
• Applications include surveillance radars and object recognition.
• Further examples from wireless communications and image restoration.

✦ Table of Contents

Introduction
Contents
1 General properties of bispectrum-based digital signal processing
1.1 General properties of cumulant and moment functions
1.2 Triple correlation function and bispectrum
1.3 Bispectral density estimation techniques
1.4 Bispectrum-based algorithms in application for filtering and signal shape reconstruction
1.5 Reduction of waveform distortions in bispectrum-based signal reconstruction systems
1.6 Performance of the bispectral density estimator
1.7 Conclusions
2 Unknown noisy signal shape estimation by bispectrum-filtering techniques
2.1 Smoothing the noisy bimagnitude and biphase or the real and imaginary parts of bispectrum estimates by using nonadaptive 2-D linear and nonlinear filtering
2.2 Statistical properties of bispectrum estimate contaminated by noise
2.3 Novel techniques developed for improving noisy bispectrum estimates
2.4 Adaptive 1-D filtering applied for bispectrum-based signal reconstruction
2.5 Conclusions
3 Bispectrum-based digital image reconstruction using tapering pre-distortion
3.1 Additive predistortions in reconstruction of the images contaminated by noise and jitter
3.2 Bispectrum-based image reconstruction by using multiplicative predistortions
3.3 Search of the optimal parameters used for additive and multiplicative pre-distortion functions
3.4 Conclusions
4 Signal detection by using third-order test statistics in communications and radar applications
4.1 Detection of deterministic signals by using third-order test statistics and likelihood ratio criterion
4.2 Bispectrum-based encoding technique developed for noisy, multipath and fading radio links
4.3 Naval surface target detection and recognition by estimation of radar range profiles
4.4 Using bicoherence-based features for aerial target classification
4.5 Time-frequency analysis of backscattering in ground surveillance Doppler radar
5 Conclusions
Bibliography
Subject index