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# A#16 - 3(10 Show that 29 29 29 2 2 2 2 5 62 1 618 c c c c c...

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Assignment #16 ECSE-2410 Signals & Systems - Fall 2006 Tue 11/07/06 1(30). A Butterworth lowpass filter of order 1 = n is given by 1 1 ) ( + = s s H . (a) Find the transfer function ( 29 s H BP of the corresponding bandpass filter with center frequency of one and a passband of 0.1. (b) Use MATLAB to plot the magnitude frequency response of this bandpass filter. 2(20). Verify the following properties for a general nth order Butterworth lowpass filter (a) If n is odd, then ) ( s H has a pole at c s ϖ - = . (b) If n is even, then all poles of ) ( s H appear as complex conjugate pairs.
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Unformatted text preview: 3(10). Show that ( 29 ( 29 ( 29 2 2 2 2 5 62 . 1 618 . ) ( c c c c c c s s s s s s H + + + + + = is a Butterworth lowpass filter of order 5 = n . 4(10). Find ( 29 s H of a third order Butterworth lowpass filter with a bandwidth of 5 Hz . Note Hz ! 5(30). Consider a Butterworth lowpass filter of order 3 = n ,i.e., 1 2 2 1 ) ( 2 3 + + + = s s s s H . (a) Derive an expression for the impulse response, ) ( t h . (b) Use MATLAB to plot ) ( t h...
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