Given the following two sequences x (n)=[3 , 11,7 ,0 ,−1, 4 ,2 ],−3≤n≤ 3 ; h (n )=[2,3 ,0 ,−5, 2,1 ] ,−1≤n≤ 4.
(a) Use the deiniion to determine the convoluion y ( n )= x ( n )∗h (n )
(b) Compare your result in (a) with that obtained by MATLAB
Given the following two sequences x (n)=[3 , 11,7 ,0 ,−1, 4 ,2 ],−3≤n≤ 3 ;...
3. Given the following two sequences x(n) = [3, 11, 7,0, – 1,4, 2], – 3 5nS3; h(n) = [2,3,0, – 5, 2,1], –15ns 4. (a) Use the definition to determine the convolution y(n) = x(n) * h(n) (b) Compare your result in (a) with that obtained by MATLAB
1. An LTI system has impulse response defined by h (n )={2 ,2 ,−1,−1 ,−1,−1}first 2 zero . Determine the outputs when the input x(n) is (a) u(n ) ; (b) u(n−4 ) 2. Let the rectangle pulse x ( n )=u ( n ) −u (n −10 ) be an input to an LTI system with impulse response h (n )=(0.9 )n u (n ) . Determine the output y ( n ) . (Hint: You need to consider muliple...
P-8.7 Consider two finite-length sequences, x[n] 0 n<0 1 0 <n<3 n> 3 0 and h[n] = 28[n] - 8[n - 1] - 8[n - 2]. (a) Determine and plot the discrete convolution y[n] = x[n] *h[n] for these two sequences.
em 2: Given two sequences x[n] = 8 8[n - 8] and h[n] = (0.7)"u[n] Determine the z-transform of the convolution of the two sequences using the convolution property of the Z-transform Y(z) = X(z) H(2) Determine the convolution y[n] = x[n] * h[n] by using the inverse z-transform Problem 3: Find the inverse z-transform for the functions below. 4z-1 2-4 z-8 X(Z) = + 2-5 Z - 1 2-05 X(Z) = Z 2z2 + 2.7 z + 2
What’s the answer for (a) and (b) using Matlab?
Problem 1: Consider the following sequences x(n) = {-4, 5, 1,-2,-3, 0, 2, 45),-35ns4 y(n) = {6,-3,-1, 0, 8, 7,-2).-Isn 5 n(n) = {3, 2, 2,-1, 0,-2,5), 2sns8 The sample values of each of the above sequences outside the ranges specified are all zeros. Generate and plot the following sequences using MATLAB functions (c.g SIGSHIFT, SIGADD, fold, shift, etc.): (a) u(n) = x(n) + y(n-2) (b) s(n) =-y(n) + w(n +...
5.34. Two signals æ[n] and h[n] are given by - 3, 4, 1, 6 arn]{2, t n 0 h[n1, 1, , 0, 0} t n 0 Compute the circular convolution y[n] x[n]h[n] through direct application of the circular convolution sum a. b. Compute the 5-point transforms X k] and H[k] c. Compute Y[k] Xk] Hk, and the obtain y[n] as the inverse DFT of Y [k. Verify that the same result is obtained as in part (a)
6. Given the two four-point sequences x[n] = (-2,-1,0, 2] and y[n] = [-1, -2, -1, -3), find the following: (a) x[n]*y[n], the linear convolution; (b) x[n]y[n], the circular convolution;
Linear Systems and Signals ECEN 400
[2096] Two sequences, a(n) and htn) are given by: 1. (1) Represent the x(n) and hin) in sequence format and label 1 for n-0 position. (2) Determine the output sequence yín) using the convolution sum, and represent the yín) in sequence (3) Plot (Stem) xn), hin) and y(n) format and label 1for -0 position. s) x(n hln) y ln) 0-3 0-4, 0.4 2. [2096] Given a following system, (1) Find the transfer function H...
Matlab help
1) Given the functions x1()= tu()-tuft-1) and X2(t)=10e-5,11(), do the following: 1. Plotx,(t) and x2(0) using MATLAB 2. Use MATLAB to find and plot x(0=x:@*.x2(t), where * denotes convolution. 3. Find x(t)=x;()*X2(1) by hand using Laplace transforms. 4. Plot the result of part 3 in MATLAB and compare it to that found in part 2. 2) Given the transfer function shown below, do the following: 1. Find the system's impulse response and plot it using MATLAB 2. Repeat...
1. Determine the z-transforms of the following sequences: (a) x = [3, 0, 5, 6, 0, 1] (b) x = [1, 0, 0, 4] 2. Compute the transfer fuctions for the following impulse responses: (a) h = [1, −5, 4, 0, 5] (b) h = [1, −0.5, 0.25, −1.125] 3. If h(n) = 3^ -n for n ≥ 0, express H(z) as a ratio of polynomials. 4. Find the 10 roots of unity, that is, solve z^10 − 1 =...