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This project carries 50% of your ?nal mark. Please hand in your work to the Mathematical and Physical Sciences School O?ce, no later than 4pm Monday 21st January 2013.
Please ?ll in a cover form as well.
Place ?nal answers in spaces provided and attach any requested ?gures (with title, labels and legends) and additional paper used. You might want also to attach the MATLAB algorithms so that it will be easier to mark and test your algorithms.
PLEASE PUT YOUR NAME AND STUDENT NUMBER ON ALL ADDITIONAL SHEETS ATTACHED.
Aims of the project
At the end of the project, you should be able to (i) convert mathematical equations into Matlab programs, (ii) test the programs, (iii) plot functions, (iv) carry out some simple investigations and make conclusions about your ?ndings.
Mathematical ideas used The aim of this project is to measure how deep your MATLAB programming skills are. The requirement is to transform mathematical problems into computer algorithms to facilitate easy and fast calculations as well as introducing you to some new mathematical concepts such as
Vectors and Matrices: The Vectors and matrices are used to store sets of values, all of which are similar type. A vector can either be a column vector or a row vector. The mat
program
A 12-point sequence is x (n) defined as x(n) = { 1, 2, 3, 4, 5, 6, 6, 5, 4, 3, 2, 1}. Write MATLAB programs to (a) Determine the DFT X (k) of x(n) and plot (using stem function)
Given , provide solutions for the following systems of equations a) , 1.0 10.5 0.5 9 0.5 3.25 5.25 2.5 2 13 5 6 ? ? ? ? ? ? ? ? ? ? ? A ? ? ? ? ? ? ? ? ? ? ? ? 3 7 16 b b) , 1.0 10
It is desired to determine the DFT of the analogue signal x (t) = 25 cos(10 Πt)cos(400Πt). (a) Find the Nyquist rate of the signal. (b) What is the record (signal) length i
The following four 4 equations are needed to be plotted as CONTOUR lines on the axes space (C, T) where C is the horizontal axis, and T is the vertical axis. Contour lines for
Introduction to Matlab: The MATLAB is a graphical and mathematical software package; it has graphical, numerical and programming capabilities. It has built-in functions to do
design a rc phase shift oscillator for a particular frequency of oscillation and generate a sinusoidal signal
An environmental consulting firm is conducting a site investigation on an abandoned industrial site that is 200 m by 150 m in size (Fig. 1). A number of piezometers were installed
function y=tps(r) % This is the thin-plate spline if r y=0; else y=r^2*log(r); end function y=fun(point) % my target function x=point(1); z=point(2); y=7-4*x^2+z^3;
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