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Enumeration encoding and decoding algorithms for pyramid cubic lattice and trellis codes

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2 Author(s)
Fischer, T.R. ; Sch. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA ; Jianping Pan

A pyramid source code is a code that assigns equal-length binary strings to all reproduction codevectors of equal (weighted) ε1 norm. A pyramid source encoding is partitioned into two concatenated mappings; the first from source word to reproduction codeword within a codebook; the second from the reproduction codevector to a binary string. The first mapping allows distortion and is accomplished using lattice quantization or trellis-coded quantization. The second mapping is noiseless and is denoted as enumeration. Efficient pyramid enumeration encoding and decoding algorithms are presented, for use with fixed-rate or variable-rate pyramid lattice and trellis codes

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Information Theory, IEEE Transactions on  (Volume:41 ,  Issue: 6 )