Please do not use the z transform to solve them.
Please do not use the z transform to solve them. 3) Determine the inverse discrete-time Fourier...
1. (20 points) Fourier Transform and Inverse Transform Problems: (a) Compute the Discrete-time Fourier transform of signal (b) Determine the signal having the following Fourier transform X(w)cos2w.
The discrete-time Fourier transform (DTFT) representation is given by: ?[?] = 1 ∫? ?(???)?????? Where 2? −? ∞?(???) = ∑ ?[?]?−????=−∞ Compute and plot the frequency spectrum of the Fourier transform for the discrete-time signal: −2 ? = −3, 1, 3?[?] = {3 ? = −4, −2, −1, 0, 2 , 4 , 50 ??ℎ??????
1. Use the Fourier Transform to solve the following problem with W1 21 (a) Find the Fourier Transform of u by applying F to the equation and initial condition; denote this function U(w, t). (b) Find u u(z, t) by taking the inverse transform of the U(w, t) you found in part (a). 1. Use the Fourier Transform to solve the following problem with W1 21 (a) Find the Fourier Transform of u by applying F to the equation and...
2. Calculate the inverse Fourier transform of X(cfw) = {2 2j 0 <W <T -2j -n<w < 3. Given that x[n] has Fourier transform X(@j®), express the Fourier transforms of the following signals in terms of X(el“) using the discrete-time Fourier transform properties. (a) x1[n] = x[1 – n] + x[-1 - n] (b) x2 [n] = x*[-n] + x[n]
Will give review, Thank! 10.33 Inverse Z-transform- Use symbolic MATLAB to find the inverse Z-transform of 2 -z 21 +0.25z(i +0.5z1 and determine x[n] as n → oo. 1080 Answers: xfn] = [-3(-0.25)" + 4(-0.5)"]u[n] 10.33 Inverse Z-transform- Use symbolic MATLAB to find the inverse Z-transform of 2 -z 21 +0.25z(i +0.5z1 and determine x[n] as n → oo. 1080 Answers: xfn] = [-3(-0.25)" + 4(-0.5)"]u[n]
x[n] = { Consider the discrete sequence S (0.5)" 0<n<N-1 otherwise a) Determine the z-transform X(2)! b) Determine and plot the poles and zeros of X(2) when N = 8!
Please help with detailed steps [2] [8 points) Please use the inverse Fourier transform formula (2D continuous case) to obtain the Fourier transform of the Laplacian, F(V2) , v). (Express Fourier transform of the Laplacian as a function of u, V and F(u, v), where F(u, v) is the FT of f)
where M=7 322-M2 4) Find the inverse - transform of F(z) = (2-1)(2-2M)' (15 marks) 0 t<-M/2 M <t< - 5) Show that the Fourier transform of function f(t) sin 7 s (10 marks) au 6) Show that u = ln(x2 + xy + y2) satisfies the partial differential equation x x ди +y 2. (7 marks) au 7) Solve the partial differential equation = e-cos(x) where at du x = 0, at =tet ax at and t = 0,...
Please solve using the Discrete-Time Fourier Transform: Given a filter described by the difference equation y[n] = x[n] + 2x[n - 1] + x[n - 3] where x[n] is the input signal and y[n] is the output signal. a) Find H[n] the impulse response of the filter. b) Plot the impulse response c) Find the value of H( Ω) for the following values of Ω = 0, pi, pi/2, and pi/4
Find Z-Transform of f(k) = e-2ksinh4k , k 0 Find inverse Z-Transform of -1T-2 <Iz 5 markS ii) 2 2 (+2z Solve any three Q4A] 15 marks Is the following function even or odd? Find its Fourier series: i) 2 Find Z-Transform of f(k) = e-2ksinh4k , k 0 Find inverse Z-Transform of -1T-2