# ps1 - to remove zero-mean additive noise while preserving...

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ECE 351, Systems I Jan. 12, 2009 OSU, Winter 2009 Due: Jan. 21, 2009 Problem Set 1 Reading Assignments: Visit the textbook webpage: http://users.ece.gatech.edu/ bonnie/book3/ Problem 1 (MATLAB Exercise) Problem 2 (web) Problem 3 Consider the discrete-time system given by y [ n ] = 2 X k =0 1 3 x [ n - k ] . (a) Is the system linear? Time-invariant? (b) Is the system causal? (c) What is the system’s output for input x [ n ] = δ [ n ]? Problem 4 Consider the discrete-time system given by y [ n ] = median { x [ n - 2] , x [ n - 1] , x [ n ] , x [ n + 1] , x [ n + 2] } . Recall that the median is the value in an ordered list of values above and below which there is an equal number of values. The median Flter is often employed when one wishes

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Unformatted text preview: to remove zero-mean additive noise while preserving sharp edges in the original signal. 1 (a) Is the system linear? Time-invariant? (b) Is the system causal? (c) What is the systems output for input x [ n ] = [ n ]? Problem 5 For each of the following systems, determine if the system: (i) is linear or nonlinear; (ii) is causal or noncausal; (iii) is time-invariant or time-varying; (iv) has memory or is memoryless. Briey justify your answers. (a) y ( t ) = | x ( t ) | (b) y ( t ) = x ( t ) + 1 (c) y ( t ) =-dy ( t ) dt + x ( t ) Problem 6 (system modelling) Problem 2.15 from Kamen &amp; Heck. 2...
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## This note was uploaded on 05/05/2010 for the course ECE 351 taught by Professor Staff during the Spring '10 term at Ohio State.

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ps1 - to remove zero-mean additive noise while preserving...

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