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uniform filter bank

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this file is simply designed for plotting N uniform rectangular filter banks.

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the bandwidths of each filter,as defined,are 4pi/N. The filter pass-bands overlap by 50% a superposition of the bandpass frequency responses for N Also shown is the frequency-response sum, which we will show to be exactly constant and equal to N This gives our filter bank the perfect reconstruction property.We can simply add the outputs of the filters in the filter bank to recreate our input signal exactly. This is the source of the name Filter-Bank Summation (FBS) I used direct DTFT formula for implementing it, but first of all for single filter of MA with N=15 [-7,7] plotted with FFT function for clarifying our figure

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