S6 - EE 2200 / Spring 2010: Section SIX 1 ECE 2200 / Spring...

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Unformatted text preview: EE 2200 / Spring 2010: Section SIX 1 ECE 2200 / Spring 2010 SECTION Six (Week 7: Mar 8-11) 1. Consider the linear, time-invariant FIR system with system function H ( z ) = 1 . 2 + 4 . 7 z- 1- 3 . 2 z- 2 + 2 . 8 z- 3 + 4 . 2 z- 7 (a) Determine the difference equation that relates the output y [ n ] of the system to the input x [ n ]. (b) Determine and plot the output sequence y [ n ] when the input is x [ n ] = 3 [ n ]- 2 [ n- 2] + [ n- 5] 2. The following block of Matlab code is intended to filter a sinusiod using the conv function om= pi/7.5; ind=[0:60]; xin=cos(om*ind - pi/3); g=1; d=[1 0 0 g 1]; y=conv(d,xin); figure(1), plot(y) (a) Determine the system function H ( z ) and the zeros of the FIR filter. (b) Determine a formula for the steady-state portion of of y [ n ], i.e. the signal contained in y . This formula should give numerical values for the amplitude, phase, and frequency of y [ n ]. (c) With the parameter g set to zero instead of 1, determine a value of om such that the output y is zero for all n 5. 3. Consider the system with system function H ( z ) = (1- z- 1 )(1 + z- 2 )(1 + z- 1 ) (a) Write the difference equation that relates the output s [ n ] and the input w [ n ] of this system....
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This note was uploaded on 03/11/2010 for the course ECE 2200 taught by Professor Johnson during the Spring '05 term at Cornell University (Engineering School).

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S6 - EE 2200 / Spring 2010: Section SIX 1 ECE 2200 / Spring...

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