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Find the energy of each of the following signals. If the energy is infinite, then also...
1.35 Determine if each of the following signals is a power signal, an energy signal, or neither (а) х1() — [1 —е 2] u(0) (b) x2(t) 2 sin(4t ) cos(4t) (с) хз(t) — 2 sin(3t) cos(4t) 1.39 Compute the average power of the following signals (a) x eat for real-valued a (3 j4)e7 (b) х2(г) _ * (с) с х3(t) — eјЗejSi
Classify the following signals whether are energy signals, power signals or neither by computing their energy and power: 2. a. (10 points) x1(t)=2cos(2n10t)+3cos(2n20t) 1 < t otherwise (10 points) the periodic signal x3 (t) as shown by the figure below: t + 2 3 b, (10 points) X2(t) = c. x3 (t) 2 -2-1 0 2 3 t(s)
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
4. Sketch a graph ot the following signals. Use the grid provided. (t) = r(t) Hint: Ignore the behavior at zero. (a) x1 (b) X2 (t) = sin ( + 90°) (c) X3 (t) = rect () cos ( 2π 到 4. Sketch a graph of the followirtg signals. Use the grid provided. (a) x1 (t) e-fu (t) (a) x1 (t) = e,u (-t) (b) X2 (t) = cos (27t + 90°) c) X3(t) = r (2-t
2. Find the Laplace transform of the following functions (a) f(t)3t+4 (b) cos(2Tt) (c) sin(2t T) (d) sin(t) cos(t) "Use Trig. Identity" (e) f(t) te 2t use first shifting theorem
The figure shows the flow of traffic (in vehicles per hour) through a network of streets. (Assume a = 100 and b = 400.) X1 a X4 (a) Solve this system for Xi, i = 1, 2, 3, 4. (If the system has an infinite number of solutions, express x1, x2, x3, and x4 in terms of the parameter t.) (x1, x2, x3, x4) = (b) Find the traffic flow when X4 = 0. (X1, X2, X3, X4) (c) Find...
The figure shows the flow of traffic (in vehicles per hour) through a network of streets. (Assume a = 100 and 400.) b XI a 33 X4 (a) Solve this system for Xi 1, 2, 3, 4. (If the system has an infinite number of solutions, express X1, X2, Xy, and x4 in terms of the parameter t.) (X1, X2, X3, X4) (b) Find the traffic flow when X4 = 0. (X1, X2, X3, X4) = (c) Find the traffic...
(a) (20 points) Find the Fourier transform of each of the signals given below: Hint: you may use Fourier Transforms Table. i. xi(t) = 2rect (-) cos(107t) ii. x2(t) = e(2+33)t ul-t+1) i co(t) - S1+ cos(at), \t<1 iii. x3(t) = 0 otherwise iv. x4(t) = te-tu(t)
The figure shows the flow of traffic (in vehicles per hour) through a network of streets. (Assume a 300 and b 50.ג x1 X2 14 (a) Solve this system for xi, 1, 2, 3, 4. (If the system has an infinite number of solutions, express x1, x2, x3, and x4 in terms of the param eter t.) (x1, X2, X3, X4)-+100,t- 300,t400,t x (b) Find the traffic flow when x40 (xi, x2, x3, xa) - (c) Find the traffic flow...
2. Find the CTFT for the following PERIODIC signals: a. xdt) = sin(2t + π/4)) b. Xb(t) = 2 + cos(2π/3 t) + 4sin(5π/3 t)