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The design of an FIR filter can be thought of as finding a truncated Fourier series of the ideal Hd(eju), and shifting it to satisfy

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The design of an FIR filter can be thought of as finding a truncated Fourier series of the ideal Hd(eju), and shifting it to satisfy causality. Suppose you obtain from a design algorithm an FIR filter with coefficients 1,2,3,2,1. What is the magnitude frequency response of the designed filter? Sketch it. What type of filter is it? Is the phase of the designed filter linear? Sketch it

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