ps2 - ECE 351, Systems I OSU, Winter 2009 Problem Set 2...

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ECE 351, Systems I Jan. 21, 2009 OSU, Winter 2009 Due: Feb. 2, 2009 Problem Set 2 Problem 1 (a) Write the diference equation ±or the ±ollowing system y[n] -a3 -a2 b0 -a1 x[n] (b) Draw a system diagram ±or the ±ollowing diference equation using only three delay elements. y [ n ] = - a 1 y [ n - 1] - a 2 y [ n - 2] - a 3 y [ n - 3] + b 0 x [ n ] + b 1 x [ n - 1] + b 2 x [ n - 2] + b 3 x [ n - 3] Problem 2 You’ll need to use the textbook’s Matlab ±unction recur.m (explained in the class) to explicitly solve constant coe²cient linear diference equations by recursion. The Matlab ±unction recur.m is available at http://users.ece.gatech.edu/ bonnie/book3/M-³les.html To invoke the recursion subroutine, use recur(a,b,n,x,x0,y0) where a and b are the coe²- cients in y [ n ] + N X i =1 a i y [ n - i ] = M X i =0 b i x [ n - i ] n is a list o± sampling times, x is a list o± input values (same length as n ), x0 is a list o± input
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ps2 - ECE 351, Systems I OSU, Winter 2009 Problem Set 2...

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