Communication Theory and Signal Processing for Transform Coding

Numerical Computation of Transform Coding (Compression Techniques)

Author(s): Khamies M. A. El-Shennawy

Pp: 193-250 (58)

DOI: 10.2174/9781608058303114010013

* (Excluding Mailing and Handling)

Abstract

Numerical computation of Fourier transform is particularly well suited for use on a Digital computer, and is defined by Discrete Fourier Transform DFT and Fast Fourier Transform FFT. Also, more efficient transforms such as Discrete Cosine Transform DCT, Discrete Wavelet Transform DWT, and Contourlet Transform CT are developed.


Keywords: Ideal sampling, Discrete Fourier transform, Fast Fourier transform, Discrete Wavelet transform, Contourlet transform, Huffman encoding, Run length encoding, Lempel-Ziv-Wekh encoding, Predictive Coding, Delta Encoding, Audio Compression, Video Compression, MPEG-2; MPEG-4, JPEG-2000, Transform-domain weighted interleave Vector Quantization TwinVQ.

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