PS3 - h [ n ] and x [ n ] in time domain and Fourier domain...

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Louisiana State University Department of Electrical and Computer Engineering EE 4780 – Introduction to Computer Vision Spring 2008 Problem Set 3 Assigned: April 14, 2008 Due: April 23, 2008 Teamwork: The problem set will be done in teams of two. Each team member will turn in a separate report in class on April 23. (Include printout of your Matlab files in the report.) Question 1: (25 points) h [ n ] is a discrete signal given below: (a) Find the Fourier transform H ( u ) of the signal. (b) Draw the magnitude and phase of the H ( u ). (c) Find 1 2 0 ( ) H u du . (d) Calculate the Fourier transform H ( u ) of the signal using Matlab. Plot the magnitude and phase using Matlab. (e) Let x [ n ] be the signal given below. Find the convolution of
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Unformatted text preview: h [ n ] and x [ n ] in time domain and Fourier domain using Matlab and plot both results. 0 1 2 3 1 n h [ n ] 1/2 1/2 2 1 [ ] x n Question 2: (20 points) Save the Cameraman and MRI images provided. (a) Using Matlab, display the magnitude and phase of these images. (b) Create a low-pass filter in Matlab: h = ones(7,7)/49. Take the Fourier transform of this filter and apply it to the images. Display the results. (c) Take the phase of the MRI image and replace the phase of the Cameraman image with it. Display the resulting Cameraman image. Question 3: (5 points) The object on the left is eroded by the structuring element on the right. What is the result?...
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PS3 - h [ n ] and x [ n ] in time domain and Fourier domain...

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