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4. Application example: signal coding and compression
Signal coding is an area of signal processing that has undergone fundamental developments over the last twenty years. From PCM (which is a simple application of the sampling theorem and quantization) to the most recent sound and image encoders, considerable progress has been made, leading to extremely efficient signal and image coding formats.
4.1 PCM
The ancestor of encoders is PCM (an acronym for Pulse Code Modulation). PCM was widely used for digital telephony and electronic music keyboards in the 1980s. It is also the standard used for audio CDs. The idea behind PCM is to successively sample an analog signal at a fixed frequency, then quantize the samples, i.e. approximate them to a finite precision, coded on a fixed number of bits. More precisely, the PCM...
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Application example: signal coding and compression
Application example: denoising, inverse problem
Bibliography
Software tools
Peter Söndergaard. Ltfat, the linear time-frequency analysis toolbox (matlab/octave, freeware), 2009
The Mathworks. Matlab, 2009
Multiple authors. Mathtools.net,...
Websites
Rice University DSP group. Compressed sensing resources, 2009
http://www.dsp.ece.rice.edu/cs
Thomas Ströhmer. A first guided tour on the irregular sampling problem, 2000
http://www.math.ucdavis.edu/~strohmer/research/sampling/irsampl.html
...
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