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Use the convolution property to: Express the z-transform of y(n) = sigma^n_k = -

ID: 3776631 • Letter: U

Question

Use the convolution property to: Express the z-transform of y(n) = sigma^n_k = - infinity x(k) in terms of X(z). Determine the z-transform of x(n) = (n + 1) u(n). Use MATLAB to carry out the following multiplication of polynomials: x(x -107) (x + 0.5) (x -0.7) (x + 1.5) USING MAT LAB CODE: The reciprocal Fibonacci constant phi is defined by the infinite by the infinite sum: phi = sigma^infinity_n = 1 1/F_n where F_n are the Fibonacci number 1, 1, 2, 3, 5, 8, 13, . Each element in this sequaence of numbers is the sum of the previous two. Start by setting the first two element equal to 1, then F_n = F_n-1 + F_n-2. Write a MATLAB pro-gram in a script file that calculates phi for a given n. Execute the program for n =10, 50, and 100.

Explanation / Answer

2.73)

2.73)

p1=[1 0];

p2=[1 -1.7];

p3=[1 0.5];

p4=[1 -0.7];

p5=[1 1.5];

p=conv(conv(p1,p2),conv(p3,p4));

matlab output:

p=1.0000 -0.4000 -2.8600 0.5800 0.8925 0