Finite Precision Error Analysis in Subband Filter Banks
Uipil Chong · Journal of Electrical Engineering and Information Science · 1998
In this paper, we provide an analysis of error due to finite precision implementation of subband filter banks. We uitilize bit allocation algorithm originally developed for signal coding for precision allocation among data paths. The error has two components i.e., filter coefficient quantization error and roundoff error. In order to accurately model these errors it is necessary to consider two effects simulaneously. Previous work was limited to separate treatments of either effects. Our approach gives the optimal bit allocations minimizing the output noise variance under filter coefficient quantization and finite data paths. Specific design example is worked out for 4-tap filter in the two band paraunitary case. The validity and accuracy of the mode1 are confirmed by comparing with computer simulation.