# hw5 - ECE320 Homework 5 Cornell University Spring 2006...

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ECE320 Homework 5 Spring 2006 Cornell University T.L.Fine Please hand in this assignment at the end of lecture on Tuesday, 7 March. Use only your assigned three-digit code and not your name. Throughout, give reasons for your answers. 1. For each of the systems of Sections 5.2.1 through 5.2.5 provide a representa- tion of the form of Section 5.2.9 by defining h ( t, τ ), if possible, and explain if it is not possible. 2. (a) Provide an example of a homogeneous system that is not representable by an impulse response system. (b) Provide an example of a causal system that is not representable by an impulse response system. 3. (a) If the system S is a cascade of two systems S 1 , S 2 with S 1 being a time selection for time 1 and S 2 having impulse response h ( t, τ ) = U ( τ ) U (2 - τ ) , what is the system response g to input f ? (b) If in (a) we reverse the order of systems in the cascade, what is the response g to input f ? 4. A radar receiver receives a signal f that is non-zero only over a time interval [0 , T ]. A subsystem S i

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