Communication Theory and Signal Processing for Transform Coding

Indexed in: Book Citation Index, Science Edition.

This book is tailored to fulfil the requirements in the area of the signal processing in communication systems. The book contains numerous examples, solved problems and exercises to explain the ...
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Numerical Computation of Transform Coding (Compression Techniques)

Pp. 193-250 (58)

Khamies M. A. El-Shennawy

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.

Affiliation:

Arab Academy for Science and Technology and Maritime Transport. P.O.Box 1029, Alexandria, Egypt.