# Project #42808 - z transforms

Find and expression for the sequence hn if its z-transform H(z) is

(i) -2 + 4/(z2) - 2/(z5)

(ii) (z+2)/(z2 + 0.3z + 1)

(iii) 1/(z2 + z + 1)

(iv) z/((z +1)[(z-1)2])

Find an expression in n for the solution of the following linear difference equation

Xn+2 + 0.5xn+1 + xn = 0 where x0 = 3 x1 = 0

Find an expression in n for the convolution cn of

xn = un and yn = un(1 + (0.2)n)

by multiplying the z-transform of xn and yn and inverting the result. Compare the results you have obtained using this expression for c0, c1 and c2 with those obtained using a direct calculation of the convolution.

 Subject Mathematics Due By (Pacific Time) 10/12/2014 12:00 pm
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