5) find the Fourier transform of: 2sinc(??) + sinc2 (??⁄2)
6) Express the following as a rectangular pulse sequence: ?(? + 3) − ?(?)
5) find the Fourier transform of: 2sinc(??) + sinc2 (??⁄2) 6) Express the following as a...
Problem 2. Fourier Transform Find the Fourier transform of the following signal fo) 3- 0 2. -r1/2 This is an alternating polarity sequence of impulses, weighted by e2. You can leave your answer as a convolution.
Problem 6 [5ptsl Find the Fourier Transform of the pulses shown below. More specifically, find the Fourier transform of the half-cosine pulse shown in (a), the half-sine pulse shown in (b), the negative half- sine pulse shown in (c) and the single sine pulse shown in (d). g(Ct) g(t) 0 T 0 g(t) g(t) 0 T
4. The Fourier transform of a rectangular pulse 1 비 r/2 0 otherwise is given by (a) Use pr(t) and properties of the Fourier transform to find the Fourier transform, D(w), of d(t) shown below, in terms of P(. First state the approach that you are using to find D(), then show all of the details. d(t)
Problem 5: [9 Points) Find the inverse Fourier transform of the frequency functions, (a) c) x(a 2 -6 Problem 5: [9 Points) Find the inverse Fourier transform of the frequency functions, (a) c) x(a 2 -6
6) Answer the following questions: a) (5 points) Using the Fourier transform, find the value of the following integral S. sinc(Be)dt b) (5 points) Find the Amplitude and phase spectra of the following signal x(t) Ae=sin(5t), t20, t<0. 10. c) (5 points) Find the Fourier transform of v(t) 1
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.
2. Find the Fourier transform of 3. Find the Fourier transform of re(r), where e(r) is the Heaviside function. 4. Find the inverse Fourier transform of T h, where fe R3 2. Find the Fourier transform of 3. Find the Fourier transform of re(r), where e(r) is the Heaviside function. 4. Find the inverse Fourier transform of T h, where fe R3
Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform (DTFT) X (A). Find the period ofX(Q). Hint: First write the x[n] showed above as two pulse functions then take the DTFT using the equation given below Express discrete Fourier transform (DFT) of x[n] using DTFT X(Q). a. b. Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform (DTFT) X (A). Find the period ofX(Q). Hint: First...
Problem 5: Use the duality property of the Fourier transform to find the Fourier transform of x(t) = sinc(Wt).
Question 3 Fourier transform] Find the Fourier transform of the following functions. (i) f(z) = H (t-k)e-4. (ii) f(x) = 5e-4H21 (im)(xe 0, otherwise. IV) f(x) = Fourier transform Question 3 Fourier transform] Find the Fourier transform of the following functions. (i) f(z) = H (t-k)e-4. (ii) f(x) = 5e-4H21 (im)(xe 0, otherwise. IV) f(x) = Fourier transform