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An algorithm for calculation of the discrete cosine transform by paired transform

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1 Author(s)
Grigoryan, A.M. ; Dept. of Electr. Eng., Univ. of Texas, San Antonio, TX, USA

A new algorithm for splitting the one-dimensional (1-D) 2r-point discrete cosine transform (DCT) into a set of short 2k-point type-IV DCTs [k=1:(r-1)] is introduced. The splitting is performed by means of paired transformation that is defined by the paired representation of signals with respect to the cosine transform. A proposed method of calculating the 2r-point cosine transform requires 2r-1r multiplications and 2r-1(3r-2)+1 additions when r≥2.

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Signal Processing, IEEE Transactions on  (Volume:53 ,  Issue: 1 )