Sketch the following discrete equations. Include 3 non-zero numeric values. n a) x(n) = (5) a(n)...
1.Given a discrete-time signal defined as and the values at other instants equal zero. a) y(n)-x(2-n (b) y(n) x(3n-4) (c) y(n)-x(n) Sketch each of the following: 1.Given a discrete-time signal defined as and the values at other instants equal zero. a) y(n)-x(2-n (b) y(n) x(3n-4) (c) y(n)-x(n) Sketch each of the following:
1a. Given x[n], sketch the magnitude of x[n]; |x[n]| on the sketch include the magnitude values for at least 5 non-zero values of x[n] 1b. Could the fourier transform of ]x[n]| (magnitude of x[n]) exist? Answer yes or no and explain why. (Please clearly and neatly explain each step for my understanding. Thanks.)
3. (Oppenheim Willsky) Determine the z-transform for each of the following sequences. Sketch the pole-zero plot and indicate the region of convergence. Indicate whether or not the discrete-time Fourier transform of the sequence exists. (a) 8[n +5] (b) (-1)"u[n] (c) (-3)”u[-n – 2] (d) 27u[n] +(4)”u[n – 1]
10) A discrete-time signal is shown in Figure2. Sketch and label carefully the signal x[n]u[3 - n] -3 -2 -1 0 1 2 3 4 5 n
3. Given the following discrete-time signal: x[n] = 0.21u[n + 1] + u[n] – 2e0.inu[n – 3] - (1 - 20.in)Pu[n - 5] a) Sketch xin starting at n = -2 and ending at n = 6.
Sketch the following equations:I. X(n) = ?? (n) - ?? (n-3) – 4U II. X(n) = U(n)- U(n+4) + ∂ (n-3) III. X(n) = 2 ? [U(n)- U(n-6)]
Find Z tranform and ROC; Sketch pole zero x[n]=(2/3)^n u[-n-1]+(-(1/3))^n u[n]
For each signal x(n) in Problems #(1)-(5), use Z Transform Tables to do the following: (a) Write the formulas for its Z Transform, X(e), and Region of Convergence, RoCr (b) List the values of all poles and all zeros. (c) Sketch the pole zero diagram. Label both axes. Give key values along both axes. sin ( (-n))u-n]. (Hints: cos(π/3) (5) x1n] , 1/2, sin(π/3)-V3/2) ," For each signal x(n) in Problems #(1)-(5), use Z Transform Tables to do the following:...
For x[n]-(0.3). 1. a. (2 pts) Find the z-transform, X(z b. (3 pts) Sketch the pole-zero plot. c. (3 pts) Find the region of convergence of the transform. Sketch it in the z-plane. d. (3 pts) Use your answer in part a to write down the DTFT of x,[n]=(0.3)"u[n]. Why is it necessary to multiply by the unit step function to get the DTFT?
Sketch the following equations:I. \(\quad \mathrm{X}(\mathrm{n})=U_{r}(\mathrm{n})-U_{r}(\mathrm{n}-3)-4 \mathrm{U}\)II. \(\quad X(n)=U(n)-U(n+4)+\partial(n-3)\)III. \(\mathrm{X}(\mathrm{n})=2^{n}[\mathrm{U}(\mathrm{n})-\mathrm{U}(\mathrm{n}-6)]\)