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Analysis, Synthesis, filter banks, Least Pth norm

In this paper, a new approach for the design and implementation of FIR filter banks for multirate analysis and synthesis is explored. The method is based on the least algorithm and takes into consideration the characteristics of the individual filters. Features of the proposed approach include; it does not need to adapt the weighting function involved and no constraints are imposed during the course of optimization. Mostly, the FIR filter design is concentrated around linear phase characteristics but with the help of minimax solution for FIR filters using the least- algorithm, this optimal filter design approach helps us to enhance the properties of LTI systems with better stability filter coefficient convergence. Hence norm algorithm will be used in multirate to explore the stability and other properties. We have proposed the band analysis system for analysis and synthesis purpose to explore multirate filter banks. The Matlab toolbox has been used for implementing the filters and its properties will be verified with various plots and tables. The results of this paper enable us to achieve good signal to noise ratio with analysis and synthesis level operations.