3. (20 points) Use z-transform to solve the difference equation y(k) - 1.3y(k-1) + 0.42y(K-2) = K2(0.3)ku(k) = = 2 fork

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3 20 Points Use Z Transform To Solve The Difference Equation Y K 1 3y K 1 0 42y K 2 K2 0 3 Ku K 2 Fork 1 (66.48 KiB) Viewed 30 times

3. (20 points) Use z-transform to solve the difference equation y(k) - 1.3y(k-1) + 0.42y(K-2) = K2(0.3)ku(k) = = 2 fork 2 0 with initial conditions y(-1) = 3, y(-2) = -4. Notice that Z[kaku(k)] az-1+az-2 (1-az-1)3 = (a) Transform the difference equation to z-domain. (b) Find Y(z). (c) Find y(k) by taking the inverse z-transform of Y(z).