Word Length Optimization of 2-D Wave Digital Filters with Weighted Quantization Error Variances

摘要

Implementations of wave digital filters (WDF) require quantization of finite word lengths. We present a method for finite word length optimization of a 2-D-WDF, using magnitude truncation for quantization and weighted quantization error variances, constrained by a limited shared memory bus width. Moreover, we define a rule to obtain word lengths for various image sizes and arbitrary bus widths, whereby long simulation times of the filter can be avoided during design time. After all, an application of our approach offers a constant improvement by 23 dB, compared to an intuitive unbalanced approach.