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4. a. Using the differentiation theorem and other properties find Fourier transform of X(t)=-2A(-2) b. Find...
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) (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...
(b) Let X(ju) denote the Fourier transform of the signal r(t) shown in the figure x(t) 2 -2 1 2 Using the properties of the Fourier transform (and without explicitly evaluating X(jw)), ii. (5 pts) Find2X(jw)dw. Hint: Apply the definition of the inverse Fourier transform formula, and you can also recall the time shift property for Fourier Transform. (c) (5 pts) Fourier Series. Consider the periodic signal r(t) below: 1 x(t) 1 -2 ·1/4 Transform r(t) into its Fourier Series...
Using the shift or stretch theorem find the Fourier transform of 1 for – 4 <t< -2 b(t) = { 0, otherwise 1 for – 1 <t < 1 given the transform of unit step function a(t) is ā(k) = 2 sin(k) k 0, otherwise b(k) =
Please finish these questions. Thank you Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is given by m()-1+sin(2 fm) where fm-10 Hz. Sketch the signal m(t) in time domain b) Find the Fourier transform M(jo) of m(t) and sketch the magnitude of M(jo) c) If m(t) is amplitude modulated with a carrier signal by x(t)-m(t)cos(27r f,1) (where fe-1000 Hz), sketch...
2 part a and b , 3 part a and b 7 marks 2. Consider the Fourier transform pair a) Use the appropriate Fourier transform properties to find the Fourier transform of te-lti 5 marks) b) Use the results from part (a) and the duality property to determine the Fourier transform of 4t f(t) = (1 +t2)2 [15 marks 3. For the discrete time system shown in fig. 1 a) Determine the transfer function Hint: The best starting point is...
4. (25 pt) Given a signal, g(t) 10eStu(t) (a) Find the Fourier transform of the signal, G(). (b) What is the Energy Spectral Density (ESD) of the signal, e().Plot the variation of ESD with frequency using the frequency range of [-3,3]. (c) Determine the signal energy Eg of the signal using Parseval's Theorem.
Problem 2: Using the properties of Fourier Transform, find the corresponding F.T. if 2+J2nf 1. *(-2t+4) 2. (t-1)x(t+1) 3. *(2t - 1)e-121
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
2. Consider the Fourier Transform pair: e11 - 1+ 2 Use the Fourier transform properties to find the Fourier transform of: x(t) = te