Title :
Block-based eigensystem of the 1±D and 1-D2 partial response channels
Author :
Khandani, A.K. ; Kabal, P.
Author_Institution :
Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada
fDate :
9/1/1994 12:00:00 AM
Abstract :
We find analytical expressions for the block-based input and output eigenvectors and eigenvalues of the systems with responses 1±d and 1-D2. The input eigenvectors form an orthonormal basis which is the optimum modulator for a channel with that transfer function. The output eigenvectors form an orthonormal basis with the same spectral nulls as the corresponding system. This basis can be used to produce line codes with spectral nulls. The eigenvectors are sinusoids. This reduces the computational complexity by allowing for fast transform algorithms to perform the modulation for a block of data
Keywords :
codes; eigenvalues and eigenfunctions; modulation; telecommunication channels; telecommunication signalling; block-based eigensystem; computational complexity; fast transform algorithms; input eigenvectors; line codes; optimum modulator; orthonormal basis; output eigenvectors; partial response channels; sinusoids; spectral nulls; transfer function; Decoding; Encoding; Lattices; Partial response channels; Probability; Rate-distortion; Source coding; Vector quantization; Video codecs; Video signal processing;
Journal_Title :
Information Theory, IEEE Transactions on
