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Unified parallel lattice structures for time-recursive discrete cosine/sine/Hartley transforms

The work

AuthorsK. J. Ray Liu; C.T. Chiu
Editors
Typearticle
Year1993
Citekeyliu1993unified

Where it appeared

Published inIEEE Transactions on Signal Processing
PublisherInstitute of Electrical and Electronics Engineers
Volume41
Issue3
Pages1357--1377

Identifiers

DOI10.1109/78.205735
OpenAlexW1987973385

From OpenAlex, which stores abstracts as an index of words and their positions: what is shown is rebuilt from that, and reads fluently whether or not it is what the author wrote.

Abstract

Unified efficient computations of the discrete cosine transform (DCT), discrete sine transform (DST), discrete Hartley transform (DHT), and their inverse transforms employing the time-recursive approach are considered. Unified parallel lattice structures that can dually generate the DCT and DST simultaneously as well the DHT are developed. These structures can obtain the transformed data for sequential input time recursively with a throughput rate of one per clock cycle. The total number of multipliers required is a linear function of the transform size N, with no constraint on N. The resulting architectures are regular, modular, and without global communication so that they are very suitable for VLSI implementation for high-speed applications. It is shown that the DCT, DST, DHT and their inverse transforms share an almost identical lattice structure. The tradeoff between time and area for the block data processing is considered.>

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Added2026-10-27 13:53 UTC
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Cite it as

@article{liu1993unified,
  title        = {Unified parallel lattice structures for time-recursive discrete cosine/sine/Hartley transforms},
  author       = {K. J. Ray Liu and C.T. Chiu},
  year         = {1993},
  journal      = {IEEE Transactions on Signal Processing},
  publisher    = {Institute of Electrical and Electronics Engineers},
  volume       = {41},
  number       = {3},
  pages        = {1357--1377},
  doi          = {10.1109/78.205735},
}

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