Fixed-point error analysis and word length optimization of 8 x 8 IDCT architectures

Abstract

Complete fixed-point error models that include the coefficient quantization are derived for two popular 8×8 two-dimensional (2-D) IDCT architectures; one is based on distributed arithmetic, and the other is the multiplier-adder chain. The error models are evaluated in the integer domain to accurately measure the effects of rounding. The analysis results show that the overall mean-square error performance (OMSE) is the most critical condition for meeting the IEEE specification (IEEE Std. 1180-1990) when the rounding scheme is employed. On the other hand, the mean error effects (OME and PME) are dominant for truncation. Finally, the analysis results are compared with those of bit-accurate simulation.