b) (4 points) We wish to use the DFT to perform linear convolution of the two...
(b) Perform convolution to obtain the discreet if input x[n] = [1 3 2 1] and impulse response, h[n] signal output of y[n], [1 -4 2]. [3 marks] (c) An analogue signal is sampled every 50ms for a duration of 1000 seconds. i) Calculate how much data (samples) are collected. [2 marks] If a Discrete Fourier Transform (DFT) is performed what is the maximum frequency information that can be obtained? [2 marks] Calculate the minimum frequency (the frequency resolution) a...
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...
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...
shown that the discrete Pourier transform(DFT) of a time-varying process h(4) for (k = 0, 1, 2, . .. ,N-1), is given by N-1 Choosing N-8 carry out the Cooley-Tukey formulation of FFT by following the steps below. (a) Write the expressions for DFT H, in terms of hite) and the inverse DFT h(te) in terms of H, for N 8 (b) Define W-ca/N and rewrite (a) using W (c) Express (b) in matrix form. (d) Express n and k...
Problem 3 (30 points) Given the following unity feedback system we wish to sketch the root locus of KG() = -16+-10) for 0 < K<0. (a) Indicate the following on the above s-plane (show all your works): 1) (2 points) Finite poles and zeros of G(3) ii) (2 points) real axis section of root locus i.e. real axis roots) m) (4 points) departure angles and amival angles if any iv) (4 points) Approximate breakaway and break-in points if any. v)...
1. (3 points) Express the following vector equation as a system of linear equations. 4 X1 + X2 = = [ 3 5 (Keep the equations in order.) -Xi+ X2 = _ x1 + X2 = Answer(s) submitted: (incorrect) 2. (1 point) Determine which of the points (1, -2, -2), (-7,3,3), and (6,1,-5) lie in the plane x1 - 4x2 +6x3 = -1. Answer: Answer(s) submitted: (incorrect)
1. (3 points) Express the following vector equation as a system of linear equations. 4 X1 + X2 = = [ 3 5 (Keep the equations in order.) -Xi+ X2 = _ x1 + X2 = Answer(s) submitted: (incorrect) 2. (1 point) Determine which of the points (1, -2, -2), (-7,3,3), and (6,1,-5) lie in the plane x1 - 4x2 +6x3 = -1. Answer: Answer(s) submitted: (incorrect)
4. (14 points) For a linear 2-DOF model of a vehicle E(r) moving on a uneven road, (a) describe the base excitation y(t) when the vehicle is moving to the right at speed v; (b) derive equations of motion for the vehicle model; (b) build a Simulink model based on the equations of motion, using the blocks given below, with y() as the input and xi() and x2) as outputs. m2 x1(r) yt)input du/dt 1/s Derivative Integrator Sum Signal Generator...
please help me to solve that question Consider two separate linear regression models and For concreteness, assume that the vector yi contains observations on the wealth ofn randomly selected individuals in Australia and y2 contains observations on the wealth of n randomly selected individuals in New Zealand. The matrix Xi contains n observations on ki explanatory variables which are believed to affect individual wealth in Australia, and he matrix X2 contains n observations on k2 explanatory variables which are believed...
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...