incorrect a 1) The Fourier Transform of a signal v(t) is given on the side: Vit)l Phase vit) 2.527 57 2 2.5 0.4r n/3 a) (0.5pt) Write the formula for the signal in time: 60 40 20 20 40 60 60 20 n...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n] -xs(t) -x(nTs) is created by sampling x() with sampling interval, 2it 60 a) Plot the Fourier Transform of the sampled signal, i.e. Xs (jo). b) Plot the DTFT of the sampled signal, ie, X(eja) o) Repeat (a) with 7, 2π d) Repeat (b) with , 18
Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n]...
1) (40 points) Given the following continuous-time periodic signal. x(t) Тр To TO 2 a. (20 points) Compute the exponential Fourier series. b. (10 points) Plot the Fourier spectrum for n=...-3,-2,-1,0,1,2,3... Assume A=1. c. (10 points) Using mathematical expressions, explain the existing of negative frequencies.
1) (40 points) Given the following continuous-time periodic signal. x(t) -To To τ TO To 2 2 a. I (20 points) Compute the exponential Fourier series. b. (10 points) Plot the Fourier spectrum for n=...-3,-2,-1,0,1,2,3... Assume A=1. c. (10 points) Using mathematical expressions, explain the existing of negative frequencies.
Don't need to do #1. Please go into detail on how you solved #2
and #3
The Fourier transform of the signal r(t) is given by the following figure (X(jw)0 for w> 20) X(ju) 0.8 0.6 0.4 0.2 -10 10 20 m Page 4 of 5 Final S09 EE315 Signals & Systems The signal is sampled to obtain the signal withFourier transform Xlw 1. (5p) What is the minimum sampling frequency w 2. (10p) Now suppose that the sampling frequency...