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ENG1014 - Engineering Numerical Analysis - S1_2023

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In electronics, a square wave signal can be generated by the equation:

where the period of the square wave is 2L, and f(x) has values of either 1 or -1.

i.e. for a square wave with a period of 2π:

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Question 34

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Write a Matlab function called "squarewave_approx" that

takes 2 inputs: a vector "x" and a number "nmax".

produces a vector output, "f_x", which is the values off(x) calculated for all values in x.

f(x) is the square wave approximation that uses all terms with n ≤ nmax.

f(x) has a period of 2π, and values that approach either -1 or 1 (i.e. you can use the simpliﬁed equation above)

You must use a loop andan anonymous function within your function.

Copy/paste the entire contents of the function ﬁle into the textbox below

You wish to produce the following graph, which shows the approximation for both nmax = 3 and nmax = 19, using a domain of x = [0,4π] with a resolution of 0.01.

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Write a script that will call your function from the previous question, and then create the graph exactly as it appears in the image, including all labelling and formatting.

You may use the pre-written text to begin your script if you wish.

If you could not complete the previous question, the data required for the graph is available here.You may use this to earn consequential marks. (note: you must be logged into google with your Monash ID)

Copy and paste your script into the textbox below.

clear all;close all;clc;

xmin = 0;

xmax = 4*pi;

resolution = 0.01;

》

Path: style

You are working in an application that needs an accurate square wave signal. If the magnitude signal is more than 10% below the desired signal (i.e. greater than -0.9 or less than 0.9), it causes problems.