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Hwk3f06 - y t = 0 1 y t-1 x t-3 c(a Determine whether the...

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ECE 3337 Homework 3 Fall 2006 Due: September 27 (Jansen) or 28 (Kalatsky), 2006 1. A signal x ( t ) is defined by x ( t ) = t - 1 if 1 < t 2 3 - t if 2 < t 3 0 elsewhere. Compute the convolution of x ( t ) with h ( t ), for (a) h ( t ) = 3 δ ( t + 2). (b) h ( t ) = δ ( t + 1) - δ ( t ). (c) h ( t ) = 1 if - 1 t 1 0 elsewhere. (d) h ( t ) = 2 u ( - t + 1) 2. A system is defined by the following input/output relation:
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Unformatted text preview: y ( t ) = 0 . 1 y ( t-1) + x ( t-3) + c. (a) Determine whether the system is time invariant For any constant c . (b) Determine For what values oF c the system is linear. (c) Determine the impulse response oF the system, assuming c = 0. 1...
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