Roundoff noise analysis of paraunitary filter banks realized in lattice structure

Abstract

Roundoff noise (fixed-point) characteristics of two-channel paraunitary filter banks realized in lattice structure are studied in detail. Under the assumption that all quantization errors are independent WSS white noise with zero-mean, we derive a closed-form formula to calculate the output roundoff noise variance, involving only the set of lattice parameters. Based on this results, several general and important conclusions can be drawn. In addition, we also present some simulation results to show that the analytical results are accurate enough for practical use.