One- and two-dimensional constant geometry fast cosine transform algorithms and architectures

This paper presents general radix one- and two-dimensional (1-D and 2-D) constant geometry fast cosine transform algorithms and architectures suitable for VLSI, owing to their regular structures. A constant geometry algorithm is obtained by shuffling the rows and columns of each decomposed DCT matrix that corresponds to a butterfly stage. The 1-D algorithm is derived, and then, it is extended to the 2-D case. Based on the derived algorithms, the architectures with a flexible degree of parallelism are discussed.