Using the linearity and time shift properties, find the z-transform of the signal
x(n) = u[n] - u[n - M]
Find the solution to the difference equation
y(n + 2) + 6y(n - 1) - 6y(n) = x[n], y(0) = 1, y(1) = 2, x(n) = 8n
Given X(z), find the inverse z-transform of X(z) if:
(a) ROC = { |z| > 4};
(b) ROC = { |z| < 3};
(c) ROC = {3 < |z| < 4}
Find the discrete-time Fourier transform (DTFT) of the discrete signals:
(a) x(n) = n-2 u[n - 2]. Hint: Use the time-shift property
(b) x(n) = u[n]
What is the z-transform of x(n) = 5sin(0.5n)?
Given x(n) = 5sin(0.5n), what is the z-transform of x(n - 1)?
Given x(n) = 5sin(0.5n), what is the z-transform of x(n + 1)^2?
What is the z-transform of x(n) = sin(0.27n)?
Given x(n) = sin(0.2n), what is the z-transform of x(n)?