2- make two finite length real valued sequences, call them x[n] and y[n], such that each have 5 samples (not all zeros or the same values), then using convolution sum principal determine:
a- correlation sequence of x vs. y
b-correlation sequence of y vs. x
compare/contrast the results. Note also you are to do part a and b by hand (use tabulation method) and then Matlab to verify your hand calculations
2- make two finite length real valued sequences, call them x[n] and y[n], such that each...
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...
P-8.7 Consider two finite-length sequences, x[n] 0 n<0 1 0 <n<3 n> 3 0 and h[n] = 28[n] - 8[n - 1] - 8[n - 2]. (a) Determine and plot the discrete convolution y[n] = x[n] *h[n] for these two sequences.
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...
Consider a finite length DT sequence of length N -16 described below. 1, 0<n< 2 Use MATLAB built-in function dftmtx (N), and compute X[k] command and create stem plots for the following: DFT(X[k]. Use subplot (a) x n] vs n; (b) X[k] vs k; (c) angle (X [k) vs k. Label axes of these plots and include title for each of these plots
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...
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
1 LetXTk], 0sks11, be a 12-point DFT of a length-12 real-valued sequence x[n] with the first 7 samples of XTk] given by X[k] ={12, IJS, 2-j14,6+)3, (a) Write down the whole X[k] sequence (b) Determine x[O] (c)Determine rip] n-0 (d) Determine rej2m 4x[n] Determine y.pl. 双.4xfn (e) Determine 2 x[n] n-0
Define where S is the collection of all real valued sequences i.e. S = {x : N → R} and we denote xi for the ith element a the sequence x E S. Take for any x EL (i) Show that lic 12 (where recall 1-(x є s i Izel < oo)) (ii) Is l? Prove this or find a counterexample to show that these two sets do not coinside (iii) ls e c loc where recall looー(x є sl...
6. Given the two four-point sequences x[n] = (-2,-1,0, 2] and y[n] = [-1, -2, -1, -3), find the following: (a) x[n]*y[n], the linear convolution; (b) x[n]y[n], the circular convolution;
Consider a sequence xln] 2-"uln], with its DTFT given by xlet y[n] be a finite-duration signal of length 10. Suppose the 10-point DFT, Y[k], of y[n] is given by 10 equally-spaced samples of X(e). Determine y[n]. Hint: N-point DFT of a sequence w[n] = 2-n (u[n]-u[n-N]) is W [k] = 1-22 1wk
Consider a sequence xln] 2-"uln], with its DTFT given by xlet y[n] be a finite-duration signal of length 10. Suppose the 10-point DFT, Y[k], of y[n] is given...