HW4_ece220_2007

HW4_ece220_2007 - Homework 4(ECE220 Fall 2007 Due Thursday...

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Homework 4 (ECE220 - Fall 2007) Due: Thursday, October 4 at the beginning of lecture. Reasoning and work must be shown to gain full/partial credit. WRITE YOUR NAME AND NET ID ON ALL PAGES HANDED IN! 1. (25 points) Convolution and power Suppose you have a linear time invariant system with impulse response h [ n ] and you feed it with an input signal that has a certain energy E x < . A reasonable question to ask is what is the energy E y of the signal that comes out of the system, say y [ n ]. The same question applies for analog LTI systems with impulse response h ( t ), with input x ( t ) and output y ( t ). Since analog systems usually model physical systems, the ability of the system to transfer energy at its output must be important. Obviously the same question can be asked for the power of a signal, if the signal is a signal with bounded power but not bounded energy (a so called signal of power , as defined in class). First think about this intuitively: do you think an LTI system should treat all signals with
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HW4_ece220_2007 - Homework 4(ECE220 Fall 2007 Due Thursday...

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