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(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 tran...
(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)...
(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)
Find the Fourier Transform of the following signals: (a) x(t) = Sin (t). Cos (5 t)...
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.
(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 bel...
(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...
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...
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...
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 sign...
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)...
3) [10 pts.] Find the Fourier transform of x(t) = cos(4t)[u(t +4) – ut - 4)]...
3) [10 pts.] Find the Fourier transform of x(t) = cos(4t)[u(t +4) – ut - 4)] Using only the Fourier the transform table and properties
Find the Fourier transform of these signals ii. [u(t) - ult-2)] [u(t + 1) -u(t-] qds....
Find the Fourier transform of these signals
ii. [u(t) - ult-2)] [u(t + 1) -u(t-] qds. 4 marks]
3. If x(t) has the Fourier transform j2π f + 10 Find the Fourier transform of...
3. If x(t) has the Fourier transform j2π f + 10 Find the Fourier transform of the following signals Hint: use the properties of Fourier transform) a. v(t)-x(1):cos(10π t) d. v(t)X(t) e. v()-e"x(t-1)
Find the inverse Fourier transform for the following signals. X(e^jw) = 2 cos(w)
Find the inverse Fourier transform for the following signals. X(e^jw) = 2 cos(w)
Problem 3.10: Compute the Fourier transform of each of the following signals. si(t) = [e-ot cos(wot)]u(t),...
Problem 3.10: Compute the Fourier transform of each of the following signals. si(t) = [e-ot cos(wot)]u(t), a > 0; zz(t) = e34 sin(24); 13(t) = e T -00 X5(t) = [te-2+ sin(4t)]u(t);
(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)
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.
(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...
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...
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)...
3) [10 pts.] Find the Fourier transform of x(t) = cos(4t)[u(t +4) – ut - 4)] Using only the Fourier the transform table and properties
Find the Fourier transform of these signals
ii. [u(t) - ult-2)] [u(t + 1) -u(t-] qds. 4 marks]
3. If x(t) has the Fourier transform j2π f + 10 Find the Fourier transform of the following signals Hint: use the properties of Fourier transform) a. v(t)-x(1):cos(10π t) d. v(t)X(t) e. v()-e"x(t-1)
Problem 3.10: Compute the Fourier transform of each of the following signals. si(t) = [e-ot cos(wot)]u(t), a > 0; zz(t) = e34 sin(24); 13(t) = e T -00 X5(t) = [te-2+ sin(4t)]u(t);
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