2. For the signal shown in figure, draw the following signals x(t) 2 1 -1 0...
2. Categorise each of the following signals as either an energy or power signal, and find the energy or power of the signal. (12 marks a) *(t) = 5 cos 2nft. - <t <co b) x[n] = 2e/3n c) *(t) = cos(t) + 5cos 2t ,- <t< W d) *(t) = {Acos 2nft - To/2st ST,/2, where To = 1/5 otherwise
7 Draw the continuous time signal. x(t)={r(t)-r(t-2)-r(t-4)+r(t-6)}+{u(t+4)-2u(t+2)+2u(t)-u(t-6)} where [u(t) is unit step signal and r(t) is unit ramp signal]. And sketch the following i. yl(t)=x[-1-2) ii. y2(t)=x[3-t] 15 Marks
Signal x(t) is given in the figure below. Using this information, sketch the following signals (MATLAB is not required) 5 4 1 0 2345 a) x(t 3) b) x(t +3) c) x(2t +3)
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
Signals and Systems ҳL+) 0-1 3 Consider the XLt) signal, Draw the following signals in detalle N 1 G o 1 a) X(t-1) 3 2 b b) [xlt) + x(-1)] Ult) c) X(t) [S(t+Ž) -8(+-+]
Don't need to do #1. Please go into detail on how you solved #2 and #3 The Fourier transform of the signal r(t) is given by the following figure (X(jw)0 for w> 20) X(ju) 0.8 0.6 0.4 0.2 -10 10 20 m Page 4 of 5 Final S09 EE315 Signals & Systems The signal is sampled to obtain the signal withFourier transform Xlw 1. (5p) What is the minimum sampling frequency w 2. (10p) Now suppose that the sampling frequency...
1.4. Let x[n] be a signal with x[n] = 0 for n < -2 and n > 4. For each signal given below, determine the values of n for which it is guaranteed to be zero. (a) xịn - 3] (b) x[n+ 4] (c) x[-n] (d) x[-n+2] (e) x[-n-2] 1.5. Let x(t) be a signal with x(t) = 0 for t <3. For each signal given below, determine the values of t for which it is guaranteed to be zero....
8. Find the Fourier transform of the following signal. (5 points) x(0) 2 1 9. Determine whether or not the following signals are periodic, and if periodic, give their periods in seconds and frequency in hertz. a. X(t) = 12.8 Cos (320xt - . (3 points). b. x(n) = 11.6 Cos (3n). (3 points). 6. x(n) = 1.45 sinn). (3 points). 10. Determine whether or not the LTI systems with the following impulse responses are causal and stable. Note that...
Discrete System question 9.3. The signals in Figure P9.2 are zero except as shown. (a) For the signal x,[n] of Figure P9.2(a), plot the following (i) 2 3n] (iii) 3x1n-2] (v) 12x-2n (ii 2xn (iv) 3- aIn (vi) 2 -n]-4 (b) Repeat part (a) for the signal xb[n] of Figure P9.2(b). (c) Repeat part (a) for the signal xn of Figure P9.2(c). (d) Repeat part (a) for the signal xn of Figure P9.2(d) 484 Discrete-Time Signals and Systems Chap. S...
For the continuous time signal() shown in the Figure 1, sketch each of the following signals: (a) x(t-3)-3 points(b) x(2-t)-5 points(c) x(2 t+2)-5 points(d) x(2-t/3)-4 points(e) x(t)(σ(t+3/2)-σ(t-3/2))-2 points(f) (x(t)+x(2-t)) u(1-t)-6 points(g) x(t/2-3)+x(t/3-2)-6 points(h) x(t-1) u(t-1)-4 pointsσ(t) is the impulse function and u(t) is the unit step function.