Question: Consider an ideal low pass discrete time filter that has unity gain in the pass band with cutoff frequencies of 0.47 in the principal

Consider an ideal low pass discrete time filter that has unity gain

Consider an ideal low pass discrete time filter that has unity gain in the pass band with cutoff frequencies of 0.47 in the principal zone of . a.) Find the formula for the (noncausal and IIR) impulse response, hILP[n] of the ideal low pass discrete time filter. b.) Find a formula for a truncated and shifted ver- sion of the filter in part a to make a new filter that is causal and FIR with a duration of 13 samples, hLP13[n]. Use a rectangular window for the truncation. What is the transfer func- tion, HLP13(e), for this FIR filter?

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