compute the energy Ex of signal x(t) of x(t) = exp(t*(1+j*2*pi))u(-t), y(t) = Re{2x *((-5-t)/2)}
compute the energy Ex of signal x(t) of x(t) = exp(t*(1+j*2*pi))u(-t), y(t) = Re{2x *((-5-t)/2)}
compute the energy (Ey) of signal y(t) given x(t) = exp(t*(1+j*2*pi))u(-t), y(t) = Re{2x *((-5-t)/2)}
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0) 6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
1.2-4 For an energy signal x(t) with energy Ex, show that the energy of any one of the signals –x(t), X(-t), and x(t - T) is Ex. Show also that the energy of x(at) as well as x(at - b) is Ex/a, but the energy of ax(t) is a Ex. This shows that time inversion and time shifting do not affect signal energy. On the other hand, time compression of a signal (a > 1) reduces the energy, and time...
(a) Given the following signals: z(t) = { ={ex? exp(-kt) t> 0 0 t<0 sin(Ot) g(t) = **(t) art (i) Explain what the symbol * means in this context and write down the expression for the function y(t). (ii) Compute the energy of the signal x(t) in the time domain. (iii) Using the formulae 1 F[2(t)]() = k + 2ris F(II(t)](s) = sinc(s) It > 1/2 II(t) It < 1/2 sin(TTS) sinc(s) ITS compute the energy of the signal y(t)...
3. Assume the signal x(t) = 5.e-2 u(t) V. (a) Calculate the signal energy (on a 1-ohm basis) over the time interval from - to too. (b) Calculate the signal energy (on a 1-ohm basis) over the frequency range from - to too. (c) Repeat part (b) over the frequency range from -2 to +2 Hz. (d) Do your answers in parts (a), (b), and (c) make sense? Explain.
drcl(t,N)=sin(pi×N×t)÷(N×sin(pi×t)) 24. A signal x[n] has a DTFT, X(F) = 5 drcl(F,5). What is its signal energy?
The Signal x(t)= e^(j*(3pi/2)*t)*cos((5pi/2)*t)+j*sin(pi*t) i) show that x(t) is periodic and what is the fundamental period? ii) What is the average value and power of x(t)?
5. Random variables X U[0, 1 and Y ~Exp(1) are independent (a) Compute P(X Y > z) for the case 0 S1 and the case z >1. b) Compute and plot the pdf of XY. (c) Give the MGF of X Y. 5. Random variables X U[0, 1 and Y ~Exp(1) are independent (a) Compute P(X Y > z) for the case 0 S1 and the case z >1. b) Compute and plot the pdf of XY. (c) Give the...
x(t)=exp(-at) u(t), u(t) is unit step function what is x(t) autocorrelation function? energy spectral density? energy? bandwidth?
Solve the following: 1. x*y'-2*y-2*x^2*y 2. y xty/(x-5) 3. y'y/x, y(1)-2 4. yy+2*exp(2*x), y(0)=3 5. (1+x)*y+ysin(x), y(-pi/2)=0 1. x*y'-2*y-2*x^2*y 2. y xty/(x-5) 3. y'y/x, y(1)-2 4. yy+2*exp(2*x), y(0)=3 5. (1+x)*y+ysin(x), y(-pi/2)=0