A comrade-matrix-based derivation of the different versions of fast cosine and sine transforms

Alexander Olshevsky; Vadim Olshevsky; Jun Wang

doi:10.1117/12.508161

24 December 2003 A comrade-matrix-based derivation of the different versions of fast cosine and sine transforms

Alexander Olshevsky, Vadim Olshevsky, Jun Wang

Proceedings Volume 5205, Advanced Signal Processing Algorithms, Architectures, and Implementations XIII; (2003) https://doi.org/10.1117/12.508161
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

The paper provides a fully self-contained derivation of fast algorithms to compute discrete Cosine and Sine transforms I - II based on the concept of the comrade matrix. The comrade matrices associated with different versions of the transforms differ in only a few boundary elements; hence, in each case algorithms can be derived in a unified manner.

Citation Download Citation

Alexander Olshevsky, Vadim Olshevsky, and Jun Wang "A comrade-matrix-based derivation of the different versions of fast cosine and sine transforms", Proc. SPIE 5205, Advanced Signal Processing Algorithms, Architectures, and Implementations XIII, (24 December 2003); https://doi.org/10.1117/12.508161

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