Find Z tranform and ROC; Sketch pole zero
x[n]=(2/3)^n u[-n-1]+(-(1/3))^n u[n]
Find Z tranform and ROC; Sketch pole zero x[n]=(2/3)^n u[-n-1]+(-(1/3))^n u[n]
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?
4.27) For the following system: 1/4 x(n) a. Find A, b, g, d. b. Find H(z), and the pole/zero plot. c. Sketch H() 4.27) For the following system: 1/4 x(n) a. Find A, b, g, d. b. Find H(z), and the pole/zero plot. c. Sketch H()
Let x(n) be the sequence with the pole-zero plot . Sketch the pole –zero plot for y(n)= (1/2)n x(n)
3. The signal x[n] =-(b)”u[-n – 1]+ (0.5)”u[n], a) find the z-transform X(z) [5] b) plot the ROC. [3] С
a) Find the transform of the following signals and plot the ROC . I x(n)-(0.5)'u(-n-3)+2(0.75) u(n+2) x(n)--on2u(n-2) a) Find the transform of the following signals and plot the ROC . I x(n)-(0.5)'u(-n-3)+2(0.75) u(n+2) x(n)--on2u(n-2)
Q1-20 points) a) Find the transform of the following signals and plot the ROC. 1 x(n)=(-0,357u(n-4)+(0.25?u(n+2) IL- x(n)=-cu-n-1) b) Find the Inverse Z-transform of: z(2-1.5) for (2-0.33)(2-0.5) ROC: z>0.5
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]
The pole -zero diagram in figure 1 corresponds to the Z-transform [X(z)] of a causal sequence (xIn]). Sketch the pole-zero diagram of Y(z), where y[n]-x-n5]. Also, determine the region of convergence for Y (z). 2. a. (15 Marks) rm z-plane Figure 1 b. Discuss any six applications of Multirate Digital Signal processing or explain the need of Multirate Signal Processing with suitable Example. (10 Marks)
3.10. Without explicitly solving for X (2), find the ROC of the z-transform of each of the following sequences, and determine whether the Fourier transform converges: (a) x[n] = [(y)"+(!)"]u[n – 10) J1, -10 <n<10, (b) xin] = 1 o. otherwise, (c) x[n] = 2"u[-n] (d) x[n] = |()*++ - (ja/331]u[n - 1] (e) x[n] = a[n+ 10] – u[n+ 50 (f) x[n]=()” [1] + (2+36)-24 – – 1).
Question 18 (1 point) a then the associated time If X(z)=z/(z-a) with ROC of z]< sequence x(n) is Question 18 options: x(n)= -a'n u(-n) -a^n u(-n-1) - a^n | e^(-jwn) -a^n u(-n+1) None of the answers