EE253_F11_HW5

# EE253_F11_HW5 - EE253 Fall 2011 Prof Essam Marouf DSP...

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EE253, Fall 2011 Prof. Essam Marouf DSP I ----------------------------------------------------------------------------------------------------------- Homework #5 Due Monday 10/31/2011 ----------------------------------- Problems from O&S Chs. 3 & 5 --------------------------------------- 1) a) 3.4 (Eds. 2 & 3) b) 3.12 (Eds. 2 & 3) 2) 3.9 (Eds. 2 & 3) 3) 3.21 (Ed. 3), attached 4) a) 5.7 (Eds. 2 & 3) b) 5.9 (Eds. 2 & 3) 5) 5.28 (Ed. 3), attached 6) a) Determine H ( z ) of an order 2 bandpass IIR digital filter of center frequency ω 0 = 0.6 p radian and 3 dB bandwidth Δω HP = 0.15 π radian. b) Determine H ( z ) of order 2 IIR digital notch filter that notches out the frequency ω 0 = π /3 radian. Assume a 3 dB notch bandwidth Δω HP = π /10 radian. c) Use the Matlab function ‘freqz’ to plot the magnitude response | H (e jw )| of the two IIR filters in parts (a) and (b) and check that the requirements for ω 0 and Δω HP are met. Matlab Problems (also attached) -------------------------------------- Please read I & P Ch. 4 (pp. 80-111) 1- a) P4.12 b) P4.14; Study the I&P examples regarding the use of the Matlab function ‘residuez’ (used to perform partial fraction expansion (pfe) and to group pfe terms)

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EE253_F11_HW5 - EE253 Fall 2011 Prof Essam Marouf DSP...

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