Recursive algorithms for the forward and inverse discrete cosine transform with arbitrary length

摘要

The authors first demonstrate that the forward and inverse discrete cosine transform (DCT, IDCT) can be represented by Chebyshev polynomials of the third and second kind, respectively. Then, they derive recursive algorithms for the DCT and IDCT with arbitrary length from the recursive formulae for the Chebyshev polynomials. The proposed algorithms are particularly suitable for VLSI implementation using array processing architectures.