Finite word-length effects of an unified systolic array for 2-D DCT/IDCT
Hyesook Lim, Changhoon Yim, Earl E. Swartzlander · 2002
This paper presents a fixed-point error analysis for the unified systolic array implementation of 2-dimensional (2-D) discrete cosine transform (DCT) and 2-D inverse discrete cosine transform (IDCT). Closed form expressions for the mean and variance of fixed-point rounding-errors and truncation-errors are derived. Simulation results are provided to verify the analysis. Simulations designed to find the minimum word-length which satisfies IEEE requirements for the implementation of an 8/spl times/8 IDCT are also performed. Simulation results show that the proposed systolic array is more robust for the fixed-point error than other existing implementations for DCT/IDCT.