EE 3054 - Quiz 7					Fall 2012

Design a simple real causal LTI system that
1) annihilates the signal cos( (pi/3) n )
2) annihilates constant-valued signals
3) preserves the amplitude of the signal cos( pi n )

For the system you design 
a) Find and sketch the impulse response h(n)
b) Find the difference equation
c) Show the pole-zero diagram
d) Roughly sketch the frequency response magnitude |H^f(omega)|