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Unformatted text preview: 1 EE113 Homework 4 Problem 4.7 Consider the moving average system with exponential weighting y ( n ) = 1 M + 1 M summationdisplay k =0 k x ( n- k ) where | | < 1 . Is the system linear? causal? time-invariant? stable? Problem 4.9 True or False: (a) A relaxed system is linear. (b) A linear system is relaxed. Problem 4.11 The response of a linear time-invariant system to x ( n ) = u ( n ) is y ( n ) = 0 . 5 n u ( n ) . Find its response to ( n ) . Problem 4.13 System S 1 is defined by y ( n ) = log | x ( n- 1) | and system S 2 is defined by y ( n ) = exp( x (2 n )) . Which of the following statements is correct? (a) Both systems are BIBO stable. (b) Both systems are unstable. (c) System S 1 is unstable and system S 2 is BIBO stable. (d) Both systems are time invariant. Problem 4.15 Determine the response of the system y ( n ) = 0 . 5 n x ( n ) + x ( n- 1) to the unit sample x ( n ) = ( n ) . Is this a linear system? What would its response be to x ( n ) = ( n- 3) ?...
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This note was uploaded on 01/24/2012 for the course EE 113 taught by Professor Walker during the Fall '08 term at UCLA.
- Fall '08