Source code = MATLAB code X = 53 Y = 23 Z = 29 This question is about Fourier sy

Question

Source code = MATLAB code

X = 53 Y = 23 Z = 29 This question is about Fourier synthesis of a half wave rectified sin wave v(t). The Fourier series for this waveform contains both sine and cosine terms as shown below:v(t) = A/pi + A/2 Sin(omega_0t) - 2A/pi sigma^infinity_n = 2,4,6,8,... cos(n omega_0 t)/n^2 - 1 In this equation A is the peak value. You should use your value of Y to determine this (measured in Volts). Only the fundamental sine harmonic should be included whereas only even numbered cosine harmonics are needed. The fundamental frequency omega_0 should be chosen such that the period T matches your value of Z (measured in units of milliseconds). Your values of X, Y and Z will depend on your student number as shown on the first page in this and later questions. Complete the following two steps. Submit neat and functional source code that could be used to synthesize any periodic waveform. It should have an internal variable labelled a0 and two vectors containing lists of the a_n and b_n values that you have initialised with the correct values to synthesis the function in equation (1). You should initialise the vectors using a loop in your code other than the one that performs the synthesis. This code must be your own work. Sort your three values X Y and Z into ascending order (smallest first). Provide three overlayed plots showing sums of X, Y and Z harmonic terms.

Explanation / Answer

1. fourier transform = A0 +A1/1.414 + A2/ 1.414

2. X>Y>Z

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