H(s)- s6+12s5+72s4+246s3 +473s2 +518s+278 12+43s +58s2 +36s3 +10s4+s Is H(s) a \

Question

H(s)- s6+12s5+72s4+246s3 +473s2 +518s+278 12+43s +58s2 +36s3 +10s4+s Is H(s) a "Proper" Rational Polynomial? Why or why not? Use the Matlab disp command to print out your name and the Problem number in the command window. Afterwards, use the Matlab residue command to compute and print out the Partial Fraction Expansion (PFE) quotient and residue coefficients as well as the poles for H(s). (Hint: This problem was designed so that your answers should all be integers.) Turn in a copy of the Matlab code as well as the print out in the command window

Explanation / Answer

clc;
clear all;

disp(' User Name')
a=[1 12 72 246 473 518 278];
b=[1 10 36 58 43 12];
[r p k]=residue(a,b);
r
p
k

syms s
partfrac((s^6+12*s^5+72*s^4+246*s^3+473*s^2+518*s+278)/(s^5+10*s^4+36*s^3+58*s^2+43*s+12))

RESULTS:

r =

10.0000
2.0000
4.0000
6.0000
8.0000

p =

-4.0000
-3.0000
-1.0000
-1.0000
-1.0000

k = 1 2

ans = s + 4/(s + 1) + 6/(s + 1)^2 + 8/(s + 1)^3 + 2/(s + 3) + 10/(s + 4) + 2

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