Question

Progressive synthesis of a bipolar square wave from sinusoidal signals in the pause. trigonometric Fourier series of this waveform. Shows plots of the fundamental frequency alone, progressively adds the third, fifth, seventh harmonics weighted with coefficients up until the 19th 5. Here is a 3-D surface representing the gradual transformation of a sine wave into a square harmonic. It finishes with a 3-D surface representing the gradual transformation of a sine wave wave into a square wave.

EXERCISE 2: Fourier Series of a Square Wave axis off
Aim: To show that the Fourier series expansion for a square wave is made up of a sum of odd harmonics.
You will show this graphically using Matlab. Type in the step one only to see what it does (there is no need for the "pause" at his stage. A sine wave will be displayed.)
1. Start by forming a time vector running from 0 to 10 in steps of 0.1 and take the sine of all these points. We will first plot the fundamental frequency.
t=0:1:10;% creates a vector of values from zero to ten in steps of 0.1
y=sin(t);% creates a vector y that are the sine of the values in the vector t%
plot (t,x); grid on; % plots the vector t against the vector y
pause; % The pause is overcome by pressing any button

Answer 1

Fourier series expansion allows us to express any wave as a sum of sine and cosine functions. By progressively adding odd harmonics weighted with coefficients, a sine wave can be transformed into a square wave.

Step-by-step explanation:

The question seems to be asking about the process of synthesizing a bipolar square wave from sinusoidal signals using a trigonometric Fourier series. Fourier series expansion enables us to express any wave, including square waves, as a sum of sine and cosine functions. By progressively adding odd harmonics weighted with coefficients, we can transform a sine wave into a square wave.

In this exercise, the code provided uses Matlab to plot the fundamental frequency of a sine wave. By modifying the code and adding higher harmonics, you can observe the transformation of the waveform.