The Hadamard transform-a tool for index assignment
Copyright policy )The Hadamard transform-a tool for index assignment
We show that the channel distortion for maximum-entropy encoders, due to noise on a binary-symmetric channel, is minimized if the vector quantizer can be expressed as a linear transform of a hypercube. The index assignment problem is regarded as a problem of linearizing the vector quantizer. We define classes of index assignments with related properties, within which the best index assignment is found by sorting, not searching. Two powerful algorithms for assigning indices to the codevectors of nonredundant coding systems are presented.
vector quantization, index assignment, Source coding, Channel models (including quantum) in information and communication theory, Hadamard transform, channel distortion
vector quantization, index assignment, Source coding, Channel models (including quantum) in information and communication theory, Hadamard transform, channel distortion
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