Find and plot the Fourier transforms of the following signals. (if the Fourier transform is a...
need help solving thank you Fourier Transforms • Find the Fourier transform of et if -a<x<a 0 otherwise. • Find the Fourier transform of S f(0) = 3 10 if - 1<x<1 otherwise
The signals in Fig. P4.3-6 is modulated signals with carrier cos(10r) Find the Fourier transforms of these signals using the appropriate properties of the Fourier transform and Table 4.1 a) b) Sketch the amplitude and phase spectra for parts (a) and (b) 3Tt 3n Fig. P4.3-6 The signals in Fig. P4.3-6 is modulated signals with carrier cos(10r) Find the Fourier transforms of these signals using the appropriate properties of the Fourier transform and Table 4.1 a) b) Sketch the amplitude...
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)...
Fourier transform from Laplace transform-The Fourier transform of finite support signals, which are absolutely integrable or finite energy, can be obtained from their Laplace transform rather than doing the integral. Consider the following signals 5.30 x3(t) - r(t + 1) - 2r(t) + r(t - 1) (a) Plot each of the above signals. (b) Find the Fourier transforms (X,(S2)) for1, 2, and 3 using the Laplace transform (c) Use MATLAB's symbolic integration function int to compute the Fourier transform of...
(a) (20 points) Find the Fourier transform of each of the signals given below: Hint: you may use Fourier Transforms Table. i. xi(t) = 2rect (-) cos(107t) ii. x2(t) = e(2+33)t ul-t+1) i co(t) - S1+ cos(at), \t<1 iii. x3(t) = 0 otherwise iv. x4(t) = te-tu(t)
Problem 7.3 r(t) has the Fourier transform Xjw Determine the Fourier transforms of the following signals. (a) Fal)-5r(3t -2) (b) r(t)(t 1)sin(2t) (c) elt)5) HINT: Find the value of r(t) first. (d) ralt) (t)cos(2mt
Compute the Discrete-Time Fourier Transform analytically for the following signals and plot the absolute values and the phase of the DTFT from-2π to 2π x[n] αηυ[n] for α-0.7 and 0.3 x[n]-δ[n-r] for τ-2 and 3 xInrk], for r -2 and 3 a. b. C. Please show your work step by step and include the formula for finding the absolute value of DTFT and the phase of DTFT.
please answer all parts 2. Find the inverse Fourier transform for the following signals. [30 points] Xy (w) = 0, otherwise
For the signals x() given in Problems #(1-3), find the formula for the Fourier Transform X p) and plot the Magnitude and Phase of X(j2) Be sure to label both axes, as well as give key values of scale for both axes. ←→ x(j0) =??? Plot \ Xga) \ andダX(Q). (Hint: Magnitude is never negative or imaginary!) (3) x(t) = sgn(-101 )
Q4) Calculate the Fourier transform of the following time domain signals. Use the properties of the Fourier transform found in the "Properties of Fourier Transforms" table in textbook and the "Famous Fourier Transforms Table" in textbook instead of direct integration as much as possible to simplify your calculation wherever appropriate: 2-2