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Find ao and the first five ak's and by's for the following signal. x(t) = 2...
4. Find & such that |--^x=12,< for all \x + 2<8.
Express the real part of the following signal in the form Ae-at cos(wt + ?) where a, co and ? are real and-? < ? 2. ? b. x(t) = je(4+/100)t L or a nower signal. Then
is trans- 2. The rectangular signal z(t) = pz(t) = { | 1/2, -1<t<1 je mitted through the atmosphere and is reflected by different objects located at different distances. The received signal is y(t) = a(t) + 0.5x(t – 5) +0.25x(t – T'),T»2 Sketch y(t) for T = 10. (1)
Consider the discrete-time signal given below. Ş ()", n20 X = 0 n < 0 where a=8. Find the average power Poo
13.4.1 TT ht Find T, N, and k for the plane curve r(t) = 2+ i +2 In (cost)j, - 3<t<z
The following ψ are m.gf of some random variable X. Find EN] and Var(X) in each case. (a) ψ(t) = e2(e-1),-oo < t < oo.
1. Suppose x(t)-1f 4<t<5 otherwise 0 Determine the absolute time duration of this signal and plot it. 2. Suppose lnlf n 2 otherwise Classify this signal as left-sided, right-sided, two-sided, or time-limited and plot it.
A periodic signal f(t) is produced by periodically repeating the function alt) - S2t|t| for -1<t<1 g(t) = to otherwise over the time domain-00<t<0. Determine the Fourier series representation of f(t) in the following forms. A. f(t) = a, + acos(nw,t) + b sin(nw,t); na1 B. f(0) = { Chelmuese n -00
t <2 2 < t < 3 t23 0, 2 sin(rt), 0, Find the Laplace transform F(s) of f(t) F(s) = hw9,47
x = COST TT 7) Find the slope of the line tangent to at t = y = 8 sint 2 1 -" 3 8) Find the length of 0<t<1 1 - 21