Review of decimation and interpolation techniques

Assignment Help Simulation in MATLAB

Reference no: EM132288626

Assessment

Introduction

The objective of this assessment is for each student to undertake an investigative review of the literature and study and familiarize with the techniques of decimation and interpolation.

Part A: Review of Decimation and Interpolation techniques

In this part, student must review some of the basic interpolation techniques. The student must select one of the following study areas:
1- A detailed review of algorithms for image interpolation using Discrete cosine transform (DCT) and fast Fourier transform (FFT).
2- A detailed review of polynomial interpolations techniques (including spline) and their applications.
3- A detailed review of Inverse Distance Weighting interpolation (IDW) and Kriging method and their applications.

Compare and contrast the various methods in use in a written report of not less than four (4) A4 pages with single line spacing length. Do not use Wikipedia for this assessment.

Part B: Signal decimation Using Matlab

1. Load the signal "x" into your workspace using the command "load original_signal.mat". "x" has 200000 samples with a sampling frequency of 24 Mega samples per second, taken from a modulated baseband signal.

2. Plot the first 2000 samples of this signal.

3. Decimate the signal 3 times using the command "y=x(1:3:end);"

4. Find the power spectrum of "x" and "y" using the MATLAB periodogram and draw them in dB on one axis. Set the FFT size 512. Discuss the similarities and differences of the spectrums.

5. Zero pad (up-sample) the "y" signal sample with 2 zeros in the middle of the adjacent samples, to increase the sampling frequency by 3, and call the resultant signal "zy".

6. Load a root raised cosine filter impulse response, h, from the given file "rrc_filter.mat" into your workspace using the command "load rrc_filter.mat;"

7. Filter your signal ("zy") using the command "yzf=conv(x,h);".

8. Find the power spectrum of "yzf" and "yz" in dB and draw them on one axis.

9. Discuss the zero-padding and filtering effects on the signal spectrum.

10. Use the cubic spline interpolation in MATLAB to interpolate the signal "y" using the command "ys= interp1(1: length(y), y,1:1/3:length(y), ‘spline');".

11. Draw the spectrum of "ys" and compare it with the result of the section 8.

12. Repeat the sections 10 and 11 by changing the method to ‘linear' and ‘nearest'.

13. Filter the signals "ys" in section 12 with the given filter and find and draw the spectrums and discuss the results.

14. Give an overview of the work you have done and discuss the strength and weakness of each of the used interpolation methods in Part B.

Format of Report

Your report should be in three parts: Part I, literature review report; Part II detail of your Matlab code works and Part III an overview of the work you have done on Part B and discuss on the strength and weakness of each used interpolation methods. Your report should have a reference list at the end of the report. The report should not be more than 10 A4 pages long (11-point font size using Calibri font type).

Reference no: EM132288626

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Reviews

len2288626

4/20/2019 12:33:07 AM

Grade Mark HD 80%+ Excellent Evaluation Logic is clear and easy to follow with strong arguments Sophistication and effectivity The presented solution demonstrated an extreme degree of sophistication Explanation All elements are present and well integrated. Reference style Clear styles with excellent source of references. Report structure and report presentation Proper writing. Professionally presented

len2288626

4/20/2019 12:32:52 AM

Decimation and interpolation (body of your work) Working Matlab code for decimation, and interpolation demonstration in Part B 30 Discussion Detailed discussion on the result obtained on Part B 20 Reference style Correct IEEE referencing 10 Poor writing Poor writing style, not putting captions and figure numbers, not numbering equations, copying and pasting of figures without referencing them, inability to explain concepts, wrong grammar and typographical errors will lead to loss of marks. 10 Plagiarism Type of plagiarism - Copying of Matlab codes - Copy of other peoples works and journal articles - Contract cheating -100%

len2288626

4/20/2019 12:32:45 AM

Marking criteria Part I, II and III: Marks are allocated as follows: Section to be included in the report Description of the section Marks Literature Review on one of the 3 study areas 1- A detailed review of algorithms for image interpolation using Discrete cosine transform (DCT) and fast Fourier transform (FFT) 2- The polynomial interpolations techniques (including spline). 3- The Inverse Distance Weighting interpolation (IDW) and the Kriging method 30

len2288626

4/20/2019 12:32:33 AM

All work must be submitted on Moodle by the due date along with a completed Assignment Cover Page. The assignment must be in MS Word format, single line spacing, 11-pt Calibri (Body) font and 2 cm margins on all four sides of your page with appropriate section headings. Reference sources must be cited in the text of the report, and listed appropriately at the end in a reference list using IEEE referencing style for School of Business and School of Information Technology and Engineering respectively.

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