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signals and systems (power and energy signals) Q) Prove that the power of an energy signal is zero over infinite time. Also, prove that the energy of a power signal is infinite over infinite time.
Find the power or energy of the following signals. xt=0 for t<0(e-t-e-10t) for 0 ≤ t<2 (1-e-5)e-t for t≥2 (16 points) xt=6+5cos30t+3cos60t (8 points)
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)
Problem 3. (15 points) Topic: Power and Energy of discrete signals. Find the power of the periodic discrete signal presented below. Answer: P= -10-9-8-7-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 1
Please solve the all 6 parts of Question as quick as you can ...
Calculate the convolution integral of the following signals. Find the energy and power of the input and output signals. x(t) y(t) x(t) = cos(it)[u(t + 1) – uſt – 3)] h(t) = u(t + 2) – uſt – 1) del mes h(t) de ser LTI System
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
3. (45 pts) On signal energy and power. From the following signals, identify energy signals and power signals. For energy signals, calculate their energy. For power signals, calculate their average signal power. (g) x(t)= rect(t)) (h) x(t) =Loo rect(A) (i) 2(t)=e(-1-j80%(t) (k) x(t) = e-M/2 (l) x[n] = e-jm/2
Instruction: Determine whether the following signals are energy, power, or neither energy nor power. 1. x[n] = (−0.5)n u[n] 2. x[n] = u[n] 3. x[n] = 2ej3n
Prob.2. (12 pts) Find the energy and power of the following signals. Determine whether they are the energy or power signal. a) x(n)=(-) u(n) x(n) = ()nu(1-6) rt b) 11n-6 c) x(n) = u(n - 6) rt e) x(n) (2)"-u(n 6)