DEE 5038 ADSP Final - DEE 5038 Advanced Digital Signal...

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DEE 5038 Advanced Digital Signal Processing Final Exam 6/10’05 10:10~12:00am 1. Filter Design (30 points) (a) Let = = N n n z n h z H 0 ] [ ) ( be a Type 1 linear phase FIR filter and let = = N n n z n g z G 0 ] [ ) ( with 2 / ], [ ) 1 ( ] [ ) 1 ( ] [ N M n h M n n g n M = = δ . Prove that ) ( z G is also a linear phase filter. Assuming that the amplitude response of ) ( z H is as in the following figure, where 1 and 2 represent the peak ripple sizes, please give a qualitative plot of the amplitude response of ) ( z G . (You can assume that 1 and 2 are sufficiently small.) (b) Consider the above FIR filter ) ( z H . This problem is aimed to generate a better filter by making multiple use of the filter ) ( z H . Please plot the amplitude response of each case and answer the following questions: i. If you wish to design a filter which is better than ) ( z H in the passband, which of the three methods would you choose? ii.
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This note was uploaded on 08/23/2009 for the course IEE 5036 taught by Professor Cwliu during the Fall '05 term at National Chiao Tung University.

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DEE 5038 ADSP Final - DEE 5038 Advanced Digital Signal...

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