convolution
y(n) = x(n) * h(n)
where
h(n) = (1/2) n * u(n) and
x(n) = (1/3)n [u(n) - u (n-101)[
Calculate the convolution of the following sequences: x[n] (n +1 )R, [n] and h = u [n-2] Answer: ...
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...
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
For the following pair of sequences, calculate the DT convolution y[k] = x[k] * h[k] using (i) the graphical approach and (ii) the sliding tape method compare the two results to make sure they match k0gk-3 0 otherwise 2 -1sk2 otherwise; and h[k]=10
Calculate the convolution sum x{n]=x[n]*x,[n]: 3. a). xn] S[n]+36[n-1]+28[n-2], x,[n]- u[n]- u[n-3) b). [n]- S[n]+ d[n=1]+S[n-2]+0.58[n-3]+ S[n-51,x,[n]- x,[2n] 4. An LTI system is described with the following LCCDE: In]=x[n]+2y[n-1] a). Plot a block diagram to show the input-output relationship. b).With the input x[n]= S[n], and known y[0] = 0 . Find out the output sequence In] using recursive calculation. 5. A system is described with the following figure, find out a suitable LCCDE to express the input-output relationship y[n] [n]...
x[n] = 9n u[n] h[n] = -7n u[n] Compute the convolution y[n]=x[n]∗h[n]. Choose the answer below which corresponds to {y[0],y[1],y[2],y[3]}
DT convolution: x[n] = u[n] h[n]=(1/2)n,n≥0
Compute the convolution x[n] *h[n] for x[n] and h[n] shown below. 1. x[n] = (5[n] – 8[n – 1]), h[n] = (0.5)”.[n] 2. x[n] = {1,1,1,1,1}, h[n] = {1, 2, 3} 3. x[n] = u[n – 10), h[n] = cos(n)u[n]
1. Write a Matlab function to convolve two sequences objects: function y = conv(x, h) % CONV Convolve two finite-length Matlab sequence objects, x and h % returning sequence object, y. When you convolve x[n] and h[n] , you may not use MATLAB's numerical conv routine. 2. write a second convolution function, conv_rt, in Matlab that basically implements a real-time convolu- tion strategy: function y = conv_rt(x, h) % Convolve two finite-length arrays, x and h % returning array, y...
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...
2. Using direct convolution (i.e., the integral), determine the convolution between r(t) and h(t), where h(t) and r(t) are defined as (note: please do NOT just plug in the formulas we derived in the class): h(t) exp(-2t) u (t) and x(t) = exp(-t)u(t), u(t) is the unit step function. h(t) exp(-t)u (t) and r(t)= exp(-t)u(t)