Question

4. a) The sequence x[n] is related to its discrete time Fourier transform (DTFT). Xeo), by the expression: 27T i) Use this expression to design a 10th order high-pass finite impulse response (FIR) filter with cut-off frequency of 7 kHz for signals sampled at 16 kHz. Perform your design using a rectangular window. ii State what improvement in the performance of the filter might be 3 obtained by the use of a Hamming window. iii) Sketch a direct form implementation structure for your filter which uses a minimum number of multipliers. iv Explain what is meant by "linear phase" and show that your filter has a4 linear phase. Why may a linear phase characteristic be desirable?

Answer 1

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