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DCT algorithms for VLSI parallel implementations

Journal Article · · IEEE Transactions on Acoustics, Speech and Signal Processing (Institute of Electrical and Electronics Engineers); (USA)
OSTI ID:6845218
;  [1]
  1. Seoul National Univ. (Republic of Korea)

This paper presents two different algorithms for computing the discrete cosine transform (DCT) on the existing VLSI structures. First, it is shown that the N-point DCT can be implemented on the existing systolic architecture for N-point discrete Fourier transform (DFT), by introducing some modifications. Second, a new prime factor DCT algorithm is presented for the class of DCT's of length N = N{sub 1} {times} N{sub 2}, where N{sub 1}, and N{sub 2} are relatively prime and odd numbers. It is shown that the proposed algorithm can be implemented on the already existing VLSI structures for prime factor DFT such as in (10) and (13). Moreover, the number of multipliers required for the proposed algorithm is comparable to the other fast DCT algorithms. Also in this paper, it is shown that the discrete sine transform (DST) can be computed by the same structure.

OSTI ID:
6845218
Journal Information:
IEEE Transactions on Acoustics, Speech and Signal Processing (Institute of Electrical and Electronics Engineers); (USA), Journal Name: IEEE Transactions on Acoustics, Speech and Signal Processing (Institute of Electrical and Electronics Engineers); (USA) Vol. 38:1; ISSN 0096-3518; ISSN IETAB
Country of Publication:
United States
Language:
English