• DocumentCode
    1197837
  • 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
  • Volume
    40
  • Issue
    5
  • fYear
    1994
  • fDate
    9/1/1994 12:00:00 AM
  • Firstpage
    1645
  • Lastpage
    1647
  • 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;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.333883
  • Filename
    333883
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1197837