# hw2 - EE210 Signal Systems (January 22, 2009) HW Set 2 1....

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EE210 Signal Systems (January 22, 2009) HW Set 2 1. Construct another function (Other than x ( t ) = | h ( - t ) | /h ( - t ) for h ( - t ) 6 = 0 and x ( t ) = 0 for h ( - t ) = 0 to show that BIBO stability implies Z -∞ | h ( t ) | dτ < . 2. Consider the system Figure 1: For problem no. 2 y ( t ) = y (0) + Z t 0 x ( τ ) Is this system stable? what is the impulse response of this system? 3. Consider the double integrator Figure 2: For problem no. 3 y ( t ) = Z t 0 Z τ 2 0 x ( τ 1 ) 1 2

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Is the system stable? what is the impulse response of this system? 4. Find the impulse response of a diﬀerentiator. 5. One way to represent sampled signal is to use a train of impulses, namely
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## This note was uploaded on 02/01/2012 for the course EE 210 taught by Professor Prof.h.narayanan during the Spring '07 term at IIT Bombay.

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hw2 - EE210 Signal Systems (January 22, 2009) HW Set 2 1....

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