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3. This is an exercise about convolution. Consider the signals f and g below, both periodic with T -2. t sin(2t), -1-t 〈 0; (1+1), It _ 0.51, 一1 〈 t 〈 0; 0
question 1.3.1 and 1.3.2 1.3 Determine if the following signals are periodic, if periodic determine the period. 1.3.1 x(t) = cos(2.). 1.3.2 X(t) = e = cos(2rt). Fynlain clearly the difference between energy and ... (4 marks) (4 marks)
Determine the convolution y[n] = h[n]*x[n] of the following signals:
Instruction: Determine whether or not each of the following signals is periodic. If a signal is periodic, determine its fundamental period.1. x[n] = ej(π/4)n 2. x[n] = cos1/4n 3. x[n] = cosπ/3 n + sinπ/4 n 4. x[n] = cos2π/8 n
Determine whether the following discrete-time signals are periodic or not? For the periodic ones, find their fundamental period. 2. (5 points each) a. x1 [n] =sin(0.5n +z/4) c. x1n] = cos (tn/3) + sin(nn/5)-2cos(tn/10) d. x4[n]- sin(tn/12) cos(tn/3) (Hint: use trigonometric identities to write the signal as a sum of sinusoids)
Problem 4 Use Matlab to find the result on graphical convolution between pairs of signals given below. 2 (t) si () 1 (0) -2 0 f (a) 11 2 (t) -21
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...
2. Determine whether the following discrete-time signals are periodic or not? For the periodic ones, find their fundamental period. (5 points each) n12 c. z[n] sin (3rn7)2sin(n/10)
3. Determine whether or not each of the following signals is periodic. If a signal is periodic fundamental period x(t)=cos(2t+4 Determine whether the following signals are Energy signals or Power signals a. 4.
5. (10 Pts) Discrete time signals Determine if the following signals are periodic. If yes, give the fundamental periods. x[n] = sin (10.) ne 리721 12