Practice Question 5, ECE438 Fall 2010, Prof. Boutin

Filter Design

Define a two-pole band-pass filter such that

1. The center of its band-pass is at $ \omega=\pi/2 $.
2. There is no gain at the center of its band-pass
3. The filter has a zero frequency response at $ \omega=0 $ and $ \omega=\pi $.

Express the system using a constant coefficient difference equation.

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