Homework_4

# Homework_4 - 1 EE113 Homework 4 Problem 4.7 Consider the...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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) ?...
View Full Document

## This note was uploaded on 01/24/2012 for the course EE 113 taught by Professor Walker during the Fall '08 term at UCLA.

### Page1 / 3

Homework_4 - 1 EE113 Homework 4 Problem 4.7 Consider the...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online