digital filters and DFT
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how can I use frequency sampling to design a length-19 FIR lowpass filter with cutoff 0.25π. by not usingfir2. I am trying to determine the desired DFT sample values from the specified cutoff , and then take the inverse FFT (ifft). The DFT coefficients must be symmetric to yield a real impulse response. For example, a cutoffof 0.5πand a length of 9 would yield a DFT coefficient vector [1 1 1 0 0 0 0 1 1] correspondingto the frequency values 2*pi*[0 1/9 2/9 3/9 4/9 5/9 6/9 7/9 8/9]. The k=0 value is the first entry in the vector. Also, the impulse response must be circularly shifted so the origin isin the middle instead of at 0. Then, Plot the impulse response, magnitude response, and zero-polelocations. Can Someone help with that please
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