DSPY2003Final - Final Examination of Digital Signal...

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Final Examination of Digital Signal Processing Jan. 2003 PART-I. Conceptual Problems: (40%) (Close Book) 1-1. Explain the following four terminologies: (20%) (a) Decimation in Frequency FFT (8-point); (b) Chirp transform algorithm; (c) Goertzel algorithm; (d) FIR Filter Design by Windowing. 1-2. There are eight filters, whose transfer functions are characterized by the following poles and zeros H 1 (z) : Poles: 0.5, (1 ± j)/2. ............... Zeros: 2, ( 2 ± 2 j) , 0, 0 H 2 (z) : Poles: 0.4, 3 . ......................... Zeros:0, 0, ± 1, ± j H 3 (z) : Poles: 0.5, 0.3 ± j0.6. ........... Zeros: 0, 0.2, 5 H 4 (z) : Poles: 0, 0.5 . ......................... Zeros: 0.4, +0.4 ± j0.3, 0.4 ± j0.3 H 5 (z) : Poles: None . ......................... Zeros: ( 1 ± j)/2, 2 / 3 ± 2 / 2 j H 6 (z) : Poles: 0, 0 . ............................ Zeros: 1 ± j, 0.5 ± j0.5 H 7 (z) : Poles: 0.3, 0.2. .................... Zeros: 0, 1, 1, 2 H 8 (z) : Poles: 0.5 ± j0.5, 0. ................ Zeros: 0, 2 ± 2j Based on pole-zero characterization, please give your decision reasons first and identify which filters are (a) Linear phase filter (5%) (b) Minimum phase filter (5%) (c) All-pass filter (5%) (d) Stable filter (5%) PART II. DFT Properties and Computation (50%) 2-1. An 8-point sequence is given as x 8 [ n ] = [3 4 -2 7 -4 1 -5
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This note was uploaded on 04/08/2010 for the course EE INFO taught by Professor Zhang during the Spring '10 term at Fudan University.

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DSPY2003Final - Final Examination of Digital Signal...

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