I solved both the problems and given explanation.. Please do observe in images.. Thank you.. Have a nice day... :)
Question 1 (10 points) Determine Fourier Transform of f(t) = u(t – 2) + 6(t –...
Using the convolution property of Fourier Transform to find the following convolution: sinc (t) * sinc (4t): [Hint: sinc (t) ön rect(w/2)] sinc(t)sinc(2t) 8 TT 2 sinc(t) п sinc (2t) п sinc (4t) 4
need help with these two. thank you! Using the convolution property of Fourier Transform to find the following convolution: sinc(t) * sinc(40) [Hint: sinc(t) rect(w/2)] F TT sinc (4t) TE z sinc (26) TE 2 sinc(t) TT sinc (t) sinc(2t) Question 6 (10 points) Determine poles and zeros of transfer function H(s) 2(3-3) +58 +6 Zero: -3; Poles: -2 and -3 Zero: 3; Poles: -2 and -3 Zero: 2; Poles: -2 and 3 Zero: 0; Poles: 2 and -3
Useful Formula: Fourier Transform: F[f(t)] = F(w) sof(t)e-jw dt Inverse Fourier Transform: F-1[F(w)] = f (t) = 24., F(w)ejwidw Time Transformation property of Fourier Transform: f(at – to). FC)e=itoch Laplace Transform: L[f(t)] = F(s) = $© f(t)e-st dt Shifting property: L[f(t – to)u(t – to)] = e-toSF(s) e [tuce) = 1 and c [u(e) = ) Using the convolution property of Fourier Transform to find the following convolution: sinc(t) * sinc (4t) [Hint: sinc(t) or rect(w/2)] TC .
Using the convolution property of Fourier Transform to find the following convolution: sinc (t) * sinc(41) [Hint: sinc(t) TE rect(w/2)) 77 4 sinc (41) 71 sinc(2) TT sinc(t) RICO sinc(t)sinc(20)
Will rate asap. need help! thank you Determine Fourier Transform of f(t) = u(t – 2) + 8(t – 6)? e-j2w te-j6w -j2w e-jów (x + 70(w))e=120 (a + 78(w)ezw +e-jou Gas - 78(a)e2 te-jow
(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...
2) (Fourier Transforms Using Properties) - Given that the Fourier Transform of x(t) e Find the Fourier Transform of the following signals (using properties of the Fourier Transform). Sketch each signal, and sketch its Fourier Transform magnitude and phase spectra, in addition to finding and expression for X(f): (a) x(t) = e-21,-I ! (b) x(t)-t e 21 1 (c) x(t)-sinc(rt ) * sinc(2π1) (convolution) [NOTE: X(f) is noLI i (1 + ㎡fy for part (c)] 2) (Fourier Transforms Using Properties)...
Determine Fourier Transform of f(t) = u(t - 2) + 8(t - 6) Useful Formula: Fourier Transform: F[f(t)] = F(w) sof(t)e-jw dt Inverse Fourier Transform: F-1[F(w)] = f (t) = 24., F(w)ejwidw Time Transformation property of Fourier Transform: f(at – to). FC)e=itoch Laplace Transform: L[f(t)] = F(s) = $© f(t)e-st dt Shifting property: L[f(t – to)u(t – to)] = e-toSF(s) e [tuce) = 1 and c [u(e) = )
3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal x(t) is X(f) - rect(f/ 2), find the Fourier Transform of the following signals using properties of the Fourier Transform: (a) d(t) -x(t - 2) (d) h(t) = t x( t ) (e) p(t) = x( 2 t ) (f) g(t)-x( t ) cos(2π) (g) s(t) = x2(t ) (h)p()-x(1)* x(t) (convolution) 3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal...
A. By hand, find the Fourier transform of g(t)-cos(4t)+ cos(5t) Page 2 of3 B. Now assume that g(t) can be observed for only a finite time, say T seconds. Then, t-T/2 what we observe is actually y(t) g (t)rect . Find (analytically) the Fourier transtorm of y(t). Write your answer in terms of sinc functions. A. By hand, find the Fourier transform of g(t)-cos(4t)+ cos(5t) Page 2 of3 B. Now assume that g(t) can be observed for only a finite...