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# 220-P5 - ECE 220 Signals and Systems I Fall 2007 Laboratory...

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ECE 220 Signals and Systems I Fall 2007 Laboratory Assignment #5 Report due: November 17 Part 1: Partial Fractions by residue The MATLAB function residue computes partial fractions for Laplace transforms given in rational form. The inputs are the numerator and denominator polynomial coefficients, the outputs are - the poles - the partial fraction weights (the “residues”) - the constant term (in case Deg(Num)=Deg(Den)). Residue uses the Heaviside approach. This implies that pairs of complex poles are handled separately, leading to complex weights. It also handles multiple poles. The inverse Laplace transform then needs to be done “by hand”, including the conversion of pairs of terms with complex exponentials and complex weights to real cosine and sine functions. To do: a. Familiarize yourself with the residue function (type help residue ) b. Consider the Laplace transform 10s 2 + 59s +75 H 1 (s) = -------------------- s 3 + 8s 2 + 15s Obtain its inverse h 1 (t) using the residue function. Plot h 1 (t). Compare this

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220-P5 - ECE 220 Signals and Systems I Fall 2007 Laboratory...

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