![2c.- 25 Points: Compute the discrete Fourier transform (DFT) of the impulse response function given by the signal: h[n] = {h[](http://img.homeworklib.com/questions/9f741500-cb99-11ea-ac72-113c7ec39b97.png?x-oss-process=image/resize,w_560)
Homework Answers
![Impulse Rexsponse >> Ron] ={hm), hus, h62), h(3),0,0,0,0}={+1+1+1+1,0,0,0,0} Apply Discrete forier transtorm (FT) Hew] = { hu](http://img.homeworklib.com/questions/a01c3760-cb99-11ea-8535-0d55c21f7fb8.png?x-oss-process=image/resize,w_560)
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2c.- 25 Points: Compute the discrete Fourier transform (DFT) of the impulse response function given by...
QUESTION 2 [25 Marks Determine the Fourier Transform, H(2), of the discrete impulse response h[n]. where...
QUESTION 2 [25 Marks Determine the Fourier Transform, H(2), of the discrete impulse response h[n]. where ?[n] represents a discrete unit impulse: a. [6 marks] h[n] ?[n+3] + ?[n+2] + ?[n+1 ] + ?[n] + ?[n-1 ] + ?[n-2] + ?[n-3] The sequence h[n] implement a digital filter. Determine the nature of the filter sketch H(Q)). What is then the cut-off frequency if the sampling frequency is 8 kHz? b. [6 marks] v c. Predict the spectral coefficients a of...
ML 25 points) DTFT of a Signal Compute the discrete-time Fourier transform (DTFT) of the signal...
ML 25 points) DTFT of a Signal Compute the discrete-time Fourier transform (DTFT) of the signal x[n] = {x[0],x[1], x[2], x[3]} = {1,0,-1,0} [n] = DTFT"
Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform ...
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...
Please solve using the Discrete-Time Fourier Transform: Given a filter described by the difference equation y[n]...
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
1. (20 points) Fourier Transform and Inverse Transform Problems: (a) Compute the Discrete-time Fourier transform of...
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.
Discrete-time fourier transform
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??????
A discrete-time signal xin] is periodic with period 8. One period of its Discrete Fourier Transform...
A discrete-time signal xin] is periodic with period 8. One period of its Discrete Fourier Transform (DFT) harmonic function is (X[0], X[7]} = [3,4 + j5,-4 -j3,1+ j5,-4,1 j5,-4 + j3, 4 - j5). Solve the following: Average value of x[n] (i) [3 marks] Signal power ofx[n]. (ii) [5 marks] [n] even, odd or neither (iii) [3 marks]
A discrete-time signal xin] is periodic with period 8. One period of its Discrete Fourier Transform (DFT) harmonic function is (X[0], X[7]}...
9.99 Walk-Through: Discrete Fourier Trans- forms. You've measured the following data points for a...
9.99 Walk-Through: Discrete Fourier Trans- forms. You've measured the following data points for a function f(x):f(0) = 2, /(2) = 3,f(4) =-6, f(6) = 0. (a) Use Equation 9.7.1 to calculate and f2 (b) Find /-, without using Equation 9.7.1. This should lake no more than 20 seconds (c) What are/2 and? Again, more than 20 seconds means you re doing it wrong. (d) What frequencies p are represented by the terms f 1, fo fi and /2? 1J0J1 The...
I need help with these problems It has been shown that the discrete Fourier transform(DFT) of a time hltk) for (k 0,1,2...
I need help with these problems
It has been shown that the discrete Fourier transform(DFT) of a time hltk) for (k 0,1,2, N -1). is given by V-1 k--0 Choosing N8 carry out the Cooley- Tukey formulation of FFT by following the ste below (a) Write the expressions for DFT H, in terms of hita) and the inverse DFT ht) in terms of f, for N = 8. (b) Define ". ear/N and rewrite (a) using w (c) Express (b)...
Exercise 4. Computing and displaying the Fourier Transform of a signal Later in the semester it will become useful to d...
Exercise 4. Computing and displaying the Fourier Transform of a signal Later in the semester it will become useful to determine the frequency response of a signal or system by taking the Fourier Transform empirically (rather than computing it analytically). To do so we make use of the fft and fftshift commands. The fft command is an efficient implementation of the Discrete Fourier Transform (DFT) known as the Fast Fourier Transform (FFT). When the FFT is computed the samples are...
QUESTION 2 [25 Marks Determine the Fourier Transform, H(2), of the discrete impulse response h[n]. where ?[n] represents a discrete unit impulse: a. [6 marks] h[n] ?[n+3] + ?[n+2] + ?[n+1 ] + ?[n] + ?[n-1 ] + ?[n-2] + ?[n-3] The sequence h[n] implement a digital filter. Determine the nature of the filter sketch H(Q)). What is then the cut-off frequency if the sampling frequency is 8 kHz? b. [6 marks] v c. Predict the spectral coefficients a of...
ML 25 points) DTFT of a Signal Compute the discrete-time Fourier transform (DTFT) of the signal x[n] = {x[0],x[1], x[2], x[3]} = {1,0,-1,0} [n] = DTFT"
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...
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.
A discrete-time signal xin] is periodic with period 8. One period of its Discrete Fourier Transform (DFT) harmonic function is (X[0], X[7]} = [3,4 + j5,-4 -j3,1+ j5,-4,1 j5,-4 + j3, 4 - j5). Solve the following: Average value of x[n] (i) [3 marks] Signal power ofx[n]. (ii) [5 marks] [n] even, odd or neither (iii) [3 marks]
A discrete-time signal xin] is periodic with period 8. One period of its Discrete Fourier Transform (DFT) harmonic function is (X[0], X[7]}...
9.99 Walk-Through: Discrete Fourier Trans- forms. You've measured the following data points for a function f(x):f(0) = 2, /(2) = 3,f(4) =-6, f(6) = 0. (a) Use Equation 9.7.1 to calculate and f2 (b) Find /-, without using Equation 9.7.1. This should lake no more than 20 seconds (c) What are/2 and? Again, more than 20 seconds means you re doing it wrong. (d) What frequencies p are represented by the terms f 1, fo fi and /2? 1J0J1 The...
I need help with these problems
It has been shown that the discrete Fourier transform(DFT) of a time hltk) for (k 0,1,2, N -1). is given by V-1 k--0 Choosing N8 carry out the Cooley- Tukey formulation of FFT by following the ste below (a) Write the expressions for DFT H, in terms of hita) and the inverse DFT ht) in terms of f, for N = 8. (b) Define ". ear/N and rewrite (a) using w (c) Express (b)...
Exercise 4. Computing and displaying the Fourier Transform of a signal Later in the semester it will become useful to determine the frequency response of a signal or system by taking the Fourier Transform empirically (rather than computing it analytically). To do so we make use of the fft and fftshift commands. The fft command is an efficient implementation of the Discrete Fourier Transform (DFT) known as the Fast Fourier Transform (FFT). When the FFT is computed the samples are...
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