Subband coding for fast controller implementation: the general case

This paper deals with a new wavelet packet based design methodology for efficient implementation of digital controllers that operate at very high sampling rates, but for reasons of compactness are fabricated on VLSI chips with limited surface area. The original problem was given previously by the author (2000). He argues that this brings about a fundamental tradeoff between sampling speed, accuracy due to signal quantization, and the chip area. Here he reconciles this tradeoff by using multirate subband coding techniques that exploit spectral disparities in the closed loop signals. A precise optimization problem. was formulated in the previous paper, but only a very restrictive solution given. In this paper he provides a more general solution to the problem