Find and expression for the sequence h_{n} if its z-transform H(z) is

(i) -2 + 4/(z^{2}) - 2/(z^{5})

(ii) (z+2)/(z^{2} + 0.3z + 1)

(iii) 1/(z^{2} + z + 1)

(iv) z/((z +1)[(z-1)^{2}])

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

X_{n+2 }+ 0.5x_{n+1 }+ x_{n} = 0 where x_{0} = 3 x_{1} = 0

Find an expression in n for the convolution c_{n} of

x_{n }= u_{n} and y_{n} = u_{n}(1 + (0.2)^{n})

by multiplying the z-transform of x_{n} and y_{n} and inverting the result. Compare the results you have obtained using this expression for c_{0}, c_{1} and c_{2} 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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