1. Matrix Adaptive Synthesis Filter for Uniform Filter Bank
- Author
-
Ravindra Dhuli, Brejesh Lall, and Sandeep Patel
- Subjects
Signal Processing (eess.SP) ,Wiener filter ,Butterworth filter ,Filter bank ,Capacitor-input filter ,Least mean squares filter ,Adaptive filter ,symbols.namesake ,Filter design ,Control theory ,symbols ,Kernel adaptive filter ,FOS: Electrical engineering, electronic engineering, information engineering ,Electrical Engineering and Systems Science - Signal Processing ,Mathematics - Abstract
In this paper, we use a matrix adaptive filter as the synthesis stage of a Uniform Filter Bank (UFB) to reconstruct the input signal. We first develop the mathematical theory behind it by applying the model of optimal filtering at the synthesis stage of the UFB and obtaining an expression for the matrix Wiener filter. We have developed a theorem which we use to simplify the expression further. In the absence of required information about the analysis stage, we use adaptive filtering to arrive at the Wiener solution. We use the Least Mean Square (LMS) algorithm to update the filter coefficients. Through experimental results, we find that the adaptive filter is convergent for a stable Wiener filter.
- Published
- 2022