6. Given the two four-point sequences x[n] = (-2,-1,0, 2] and y[n] = [-1, -2, -1,...
Digital signal processing course Given x(n) = 1,23,4 y(n) = -L-1-1-1,-1,1,1 1. (1) Draw the following sequences: (2) Calculate 7-point circular convolutionx In ⑦ y (ni Given x(n) = 1,23,4 y(n) = -L-1-1-1,-1,1,1 1. (1) Draw the following sequences: (2) Calculate 7-point circular convolutionx In ⑦ y (ni
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
Using the following two finite-length sequences: x = {0, 1, 7, 6, 1, 2, 0, 7, 1, 0, 3, 4}; h = {1, 1, -1}; a Obtain the linear convolution of the two sequences. b Obtain the circular convolution of the two sequences. c Obtain the linear convolution of the two sequences using the overlap-and-add method with a partition size of 4. d Obtain a factor of two interpolation of the sequence x with filter h using: (i) upsampling followed by filtering, (ii) the...
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)
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
Thank You & Definitely Thumps Up. Using the following two finite-length sequences: (a) Obtain the linear convolution of the two sequences. (b) Obtain the circular convolution of the two sequences. (c) Obtain the linear convolution of the two sequences using the overlap-and-add method with a partition size of4 (d) Obtain a factor of two interpolation of the sequence x with filter h using:() upsampling followed by filtering, and (i) the polyphase method Using the following two finite-length sequences: (a) Obtain...
Circular vs. Linear ConvolutionConsider sequences(x[0], x[1], x[2], x[3], x[4], x[5], x[6], x[7])=(1,1,1,1,0,0,0,0)and(h[0], h[1], h[2], h[3], h[4], h[5], h[6], h[7])=(1,2,3,4,3,2,1,0)where x[n]=0 for n ∉\{0, …, 7\} and h[n]=0 for n ∉\{0, ..., 7\}.(a) Find the convolution of these two signals, and sketch the result.(b) Find the 8-point circular convolution of these two signals, and sketch the result.(c) Assume that each of the signals has been zero padded up to a length 16. Find the 16 -point circular convolution of these two...
Q4. Consider the two sequences x [n] = [0 otherwise h[n] = {00 otherwise α>1 calculate the convolution of two signals. Q5. Consider an L'TI system with input x (o] and impulse response h (o] specified as follows. x [n] = 2"u [-n] h [n] -u [n] Find the output y [n] using convolution sum. Q4. Consider the two sequences x [n] = [0 otherwise h[n] = {00 otherwise α>1 calculate the convolution of two signals. Q5. Consider an L'TI...
DSP 4. (12 points) (a) (4 points) Let x[n] = {1,2, 1, 2} and h[n] = {1,-1,1, -1} be two length-4 sequences defined for 0 <n<3. Determine the circular convolution of length-4 y[n] = x[n] 4 hin). (b) (6 points) Find the 4-point discrete Fourier transform (DFT) X[k], H[k], and Y[k]. (c) (2 points) Find the 4-point inverse DFT (IDFT) of Z[k] = {X[k]H[k].
4. Two RVs with a joint pdf given as follows fx.x ), 0<x< 1,0 <y<1 otherwise (a) Find fr ). (6 point) (b) Find fxy(x[y). (6 points) (c) Are X and Y independent? (clearly show justification for credit) (6 points)