2 2 4 1 5 t (seconds) t (seconds) 1. Given the signals depicted above, find...
(24%) Find the Fourier transform of the signals given below: 1) x() 4e U() x(t) = e-3,Cos(12m)U(t) 2) x(t) = 36(1 + 4) + 26(1) + 43(1-5) 3) x[n]=(0.7)"U(n) 4) (24%) Find the Fourier transform of the signals given below: 1) x() 4e U() x(t) = e-3,Cos(12m)U(t) 2) x(t) = 36(1 + 4) + 26(1) + 43(1-5) 3) x[n]=(0.7)"U(n) 4)
(30%) Find the Fourier transform of the signals given below: 2) x(I)-e-3,Cos(10a)U(1) 3) x(t)-45(1 + 3) + 56(1) + 4δ(1-3) = 511( ) 5) x(t) = 3A(-4)e'or(1-4)
Sketch the signals with the figure given below. i. x(t+1)y(t-2) ii. x(4-t)y(2t) X(t) 1 2 3 t -1 y(t) -2 -1 1 2 -1
4. Given the following signals, a) (6 pts). Find the signal energy in the voltage x(t) = 10rect b) (6 pts). Find the average signal power in the following periodic voltage, x(t). Express your answer in dBV 4AAK x(t) 9 10 11 12 Given the following amplifier 22 kn 56 kn o ww x(t) c) (6 pts). What is the loss in decibels? d) (7 pts). If the input to the amplifier is 3cos(2T300t+25°) V, what is the output in...
2. For the signal shown in figure, draw the following signals x(t) 2 1 -1 0 1 2 a. x(t-5) b. x(2t+1) C. x(6-t) d. x(-t-2) e. [x(t)+x(-t)Ju(t) 3. Given x[n]=(6-1)[[n] -u[n-6]], draw the following signals a. X[n+3] b. X[3n+1] c. X[6-n) d. x 4. Draw the following signals a. X(t)=u(sin st) b. X(t)=u(t+1)-2u(t)+u(t-1) c. X(t)=r(++4)-r(1+2)+u(t)-3r(1-4)+3r(1-5) d. x(t)=2u(t)-u(1-2)+1(1-3)-2r(1-4)+2r(1-5)
Solve both parts of question 2 1. Find Ex and Ey, the energies of the signals x(t) and y(t) for the given figure below. Sketch the signals x(t)+y(t) and x(t)-y(t). Show that the energies of either of these two signals is equal to Ex + Ey. (20 points) Vt) 2. Find the energies of the signals x(t) and y(t) for the given figure. Sketch the signals
Find the Fourier Transform of the following signals: (a) x(t) = Sin (t). Cos (5 t) (b) x(t) = Sin (t + /3). Cos(5t-5) (c) a periodic delta function (comb signal) is given x(t) = (-OS (t-n · T). Express x(t) in Fourier Series. (d) Find X(w) by taking Fourier Transform of the Fourier Series you found in (a). No credit will be given for nlugging into the formula in the formula sheet.
/15 Problem #5: Chapter 2 Exercise 66 page 78. a,c,e Find the average signal power of each of these signals (a) x(t) 2sin(200xt) (c)x(t) lo0 (e) x(t)--3sgn(2(1-4) /15 Problem #5: Chapter 2 Exercise 66 page 78. a,c,e Find the average signal power of each of these signals (a) x(t) 2sin(200xt) (c)x(t) lo0 (e) x(t)--3sgn(2(1-4)
What are the absolute bandwidths of the signals shown in Problem 2(a) above? Note: Absolute BW-highest frequency component present in a signal). What is the null-null bandwidth of the waveform in Problem 2 part (iv)? What is the 3 dB bandwidth of x(t) 0.5eu(t)? Abo, write down an equation to find the 3 dB bandwidth of a ilter with transfar finction, H(4). 605+1) a) Find the Fourier transforms of the following signals and sketch their magnitude spectrums i) x(t) 12e...
4. Given the following signals, a) (6 pts). Find the signal energy in the voltage x(t) = 10rect b) (6 pts). Find the average signal power in the following periodic voltage, x(t). Express your answer in dBV 4AAK x(t) 9 10 11 12 Given the following amplifier 22 kn 56 kn o ww x(t) c) (6 pts). What is the loss in decibels? d) (7 pts). If the input to the amplifier is 3cos(2T300t+25°) V, what is the output in...