Use the convolution property to: Express the z-transform of y(x) = sigma^pi_k =
ID: 3776608 • Letter: U
Question
Use the convolution property to: Express the z-transform of y(x) = sigma^pi_k = - infinity x(k) in terms of X(z). Determine the z-transform of x (n) = (n + l) u(n) Use MATLAB to carry out the following multiplication of polynomials: x(x - 1.7) (x + 0.5) (x-0.7) (x + 1.5) USING MAT LAB CODE: The reciprocal Fibonacci constant psi is defined by the infinite sum: psi = sigma^infinity_n -1 1/F_n where F_n 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_n = F_n + 1 + F_n -2. Write a MATLAB program in a script file that calculates psi for a given n. Execute the program for n = 10, 50, and 100.Explanation / Answer
2.74))
n=10,50 and 100
n=input(,enter the value of n ');
y(1)=1;y(2)=1
s=0
for i=3:n
y(i)=y(i-2)+y(i-1)
end
for i=1:n
s=s+1/y(i);
end
fprintf('the fibonacci constant for n=%i is %i ',n,s)
The MATLAB output is,
Enter the value of n 10
The Fibonacci cnstant for n=10 is 3.3305
Enter the value of n 50
The Fibonacci constant for n = 50 is 3.3598
Enter the value of n 100
The Fibonacci constant for n=100 is 3.3598
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