linear Signals and systems 1. (20 pts) :Let hn) n un 3), (1) (] n 3),...
a = 3 signals and systems 1) [10 pts. Let a system be defined as ta y(t) x(31 - 2a)dt 2a Is this system b) No b) No b) No vii) memoryless? a) Yes viii) Linear? a) Yes ix) Time invariant? a) Yes x) Causal? a) Yes xi) BIBO stable? a) Yes 2) [5 pts. What is the impulse response h(t)? 3) [10 pts.] Let a signal in s domain b) No b) No 2 Y(S) Sa What is the...
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...
Name: UIN: Course No 4. (20 points, 5 points each) Two finite length signals, nijej and rlel are given Let y(n] be the linear convolution of a ej and lal (a) Detemine yin) (b) Ifwe execute the following Matlab script to get yiin what is ynn List all values in y(n) p-ifftfh,8).h,8)),8)% (hint: 8-point circular convolution) (c) Ifwe execute the following Matlab script to get yinl what is ylm? List all values in yin n- ifhiiff,10)ffhc,10)),10)(hint: 10-point circular convolution) Write...
l(20 points) (1) Linear convolution: In a linca response h(n) impulse response h(n) f 2 -1). Use the direct linear convolution method to find the output y(n). r system, let input x(n) (n 2), 0s n s 1, and impulse
Please can you solve it using MATLAB. (1) Generate random signals [n] and hn, each of length N, and measure the time it takes to compute the linear convolution of r[n using the linear convolution definition and using the FFT method . Plot a graph of the results for N 104 to 10 in steps of 10. (2) Consider the signal x[n]-cos(0.3n),。£11S 100. Generate a plot of: ·The magnitude and phase of the DTFT of x[n] for 0 2π The...
using matlab thanks A Share Sgn in eHome Insert Design Leyout References Man Batch 1 Midterm Practical x(n)-1 3 ura) + u(n-18); for n:0 to 79 h(n)- 2un-15); for n-0 to 79 Without using the function "conv", plot the convolution response of the given discrete-time signals xin),input signal and hn), impulse response use subplot to present these signals and the output. Submit your work/compilation in Canvas feuinstructure.com zooM+ of 5 Convolution n)hn-k). for -012 1-0 Where M-N-N-1 Nlength of sequenceI...
1. Problem 1: (20 pts) Let 3(t) = u(1 – t) and h(t) = tſu(t) - t - 2)). (a) Sketch h(t), 3(1), 2(t - T) and carefully label the values on the axes. (6 pts) (b) Determine y(t) = 3(t)h(t) by performing graphical convolution. No need to sketch y(t). (14 pts)
1. (40pts) Let 8 >0 and hn: (8,2 - 8] -R be given by cos(n) hn (x) 72 Use Dirichlet's Test to show that the series hn converges uniformly on (8,27 - 8). That is, please solve the following problems: la. (10 pts) Let 9n (x) = . * € (8,27 - 8). Show that In - g uniformly, where g(x) = 0, for all 2 € (5,2 - 8) and 9n+1 () S (x). for all n e N...
Problem 2. Decide if the following systems are linear, time-varying, causal, and have memory. The signals r[n] or r(t) are the input, and the signals y[n] or y(t) are the output Put Y for Yes, and N for No. No justification is needed. Linear? Time-Invariant?Causal?Has Memory? System y(t) = cos[r(t)] y(t) = 2t-x(t + 1) y(t) = r(3) 2 | 6 | y[n] = x[n] + x[n-1] + 1
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)