Abstract
In this paper, a new approach for the design of non-uniform frequency spacing filter bank using Simulated Annealing has been presented. The filter bank structure is obtained by merging the relevant bands of a uniformly shifted filter bank with integer sampling factors. The design problem is formulated as a single objective unconstrained optimization problem for reducing the amplitude distortion of the overall filter bank for a specified pass-band ripple and stop-band attenuation of the prototype filter. The prototype filter coefficients are optimized using block update method to reach global optimum very quickly and the near perfect reconstruction of the filter bank is also preserved. Simulation results demonstrate that the linear-phase non-uniform filter banks designed by the proposed method have small amplitude distortions and aliasing distortions. Using this technique to minimize design objective is suitable for filter banks applied in sub-band filtering because linear phase property is assured here.
Highlights
This Non-uniform Filter Banks (NUFBs) are used in several applications such as audio and image signal processing, biomedical signal processing, hearing aid instruments because of their flexibility in partitioning subbands and better performance [1,2,3]
Among them Cosine Modulated Filter Bank (CMFB) is an efficient technique, where all filters of analysis and synthesis bank are obtained by cosine modulation of a single prototype filter
The amplitude distortion is eliminated in the combined analysis/synthesis section if (11) is satisfied exactly, while if (12) is satisfied, there is no aliasing between nonadjacent bands
Summary
This Non-uniform Filter Banks (NUFBs) are used in several applications such as audio and image signal processing, biomedical signal processing, hearing aid instruments because of their flexibility in partitioning subbands and better performance [1,2,3]. Few methods already have been reported in the literature using constrained or unconstrained optimization techniques, still efficient solutions to the direct design of non-uniform filter banks have yet to be developed [8]. This nonlinear arrangement of frequency bands is necessary when the signal energy exhibits bandwidth dependent distribution. The prototype filter is designed using Simulated Annealing (SA) in which to reduce the overall complexity of the prototype filter, optimum numbers of coefficients have been optimized and performance of the non-uniform bank is evaluated.
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