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lab2.425.09

lab2.425.09 - ECE 425 Digital Signal Processing Fall 2009...

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ECE 425 Digital Signal Processing Fall 2009 Mini-Project 2 — Interpolation for Visualization and Interpolation in Action This is a 2-week lab (weeks of October 19 and 26). Notice that the pre-lab should be completed BEFORE you come to lab. Write-ups are due by 4pm on Friday, November 6 in the 425 lock-box. The DSP lab is 303 Phillips. Note that the lab has “TA checks” throughout. You must demonstrate the indicated requirement to your lab TA, who may then ask you follow-up questions or point out particular features of interest. Completing the TA checks is a crucial part of the laboratory. If you simply turn in the questions, you will fail the laboratory component of this course. Prelab 1. Read the entire lab, especially the “Helpful Hints” section at the end. 2. Read the questions at the end. 3. Computation for steps 1-3 of the DT interpolation design procedure resulting in your DT interpolation filter design. *TA check #1 — Completion of pre-lab: computation for steps 1-3 of the DT interpolation design procedure on the next page. Note that you do not need Matlab to perform these three steps. Introduction In this lab you’ll work with interpolation on two levels. You’ll design an interpolation filter for DT signals in order to better visualize them, and you’ll apply several interpolation filters to images to understand how the impact of time and/or frequency characteristics of filters manifest themselves visually. Interpolation for Visualization First, you’ll design an interpolation strategy in order to better compare and interpret several DT signals. The signals of interest exist only in discrete-time, but they are length-16 and looking at them in DT (e.g., using stem ) is not very instructive and does not provide any intuition about how they differ. These DT signals are actually 4 basis functions from 4 transforms (all members of a general family of transforms) which were designed to compress images which are transmitted over networks in which data is lost (e.g., the internet, or a wireless network). To learn more about these transforms, see http://foulard.ece.cornell.edu/hemami/lot/lot.html or for even more details, look at the paper “Reconstruction-Optimized Lapped Orthogonal Transforms for Robust Image Transmission” on the “Publications” page http://foulard.ece.cornell.edu/publications.html

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2 (go to the end to look at more images). (The paper actually has the interpolated basis functions in it. They are provided, even though the transforms are discrete, to provide the readers with intuition
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lab2.425.09 - ECE 425 Digital Signal Processing Fall 2009...

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