QUESTION 172 Use the convolution property to a Express the t

QUESTION: 1.72 Use the convolution property to: (a) Express the transform of x (k) y(n) in terms of X(z). that x(n) (b) Determine the z-transform of x (n) In 1)u (n) [Hint: Show first u(n) u(n) [10 points] QUESTION 2.73 Use MATLAB to carry out the following multiplication of polynomials x(x- 1.7) (x 0.5)(x-0.7)(x 1.5) QUESTION 2.74 USING MAT LAB CODE The reciprocal Fibonacci constant y is defined by the infinite sum: where F are the Fibonacci numbers 1, 1, 2, 3, 5, 8, 13,... Each element in this sequence of numbers is the sum of the previous two. Start by setting the first two elements equal to 1, then F FN-it F Write a MATLAB pro- gram in a script file that calculates y for a given n. Execute the program for 10, 50, and 100

Solution

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