DT convolution:
x[n] = u[n]
h[n]=(1/2)n,n≥0
how to calculate the convolution Calculate the convolution of the following sequences: x[n] (n +1 )R, [n] and h = u [n-2] Answer: Note that the convolution of any sequence with u[n] is the sum of all the components (an integrator) 2. x[n]=仁1,-2-3-4) 1 vl n | =.xln|>k 11 | n | = 〈ー1, 2(00.-1,-3.-6.-10-10. Calculate the convolution of the following sequences: x[n] (n +1 )R, [n] and h = u [n-2] Answer: Note that the convolution of any sequence...
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]}
2(a). Compute and plot the convolution of ytryh)x where h(t) t)-u(t-4), x(t)u(t)-u(t-1) and zero else b). Compute and plot the convolution y(n) h(n)*x (n) where h(n)-1, for 0Sns4, x(n) 1, n 0, 1 and zero else.
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]
(Convolution DT) consider the following LTI system with input x[n] and output y[n]: (a) sketchbthe input signal x[n] = (1/2)^n(u[n])
Question 2: Consider the following DT signal: g[n] = 2 "u[-n – 3] * a[n+3], a) Find the convolution sum in the time domain (show all the necessary steps). b) Consider an LTI system with an input of x[n] and impulse response of h[n] as given below: 2, if n = -1 1, if n=0 x[n] = 3-2, if n=1 3, if n=2 -4, if n=3 3, if n = -1 1, if n=0,2 h[n] = 2, if n =...
5. Compute the convolution, x[i]*u[n], when x[n] = 2* cos(+7^ )([n – 1] -u[n–6)
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...
Problem: Let x[n] = δ[n] + 2δ[n-1] - δ[n-2] and h[n] = u[n] – u[n-4] – 2.δ[n-1]. Compute and plot the following convolutions. If you use the analytical form of the convolution equation to solve, verify your answer with the graphical method. a. y1[n] = x[n]*h[n] b. y2[n] = x[n]*h[n+1] c. y3[n] = x[n-1]*h[n]
6. If a LTI DT system as h[n]-(-(2/3)(-0 ?)" + (5/3)(075)"a[n] and the n]--1.5-n-1], use both Z-trans system. given by the sequence sforms and convolution to obtain the output vizl of the sample response input to this system is