Securing Higher Grades Costing Your Pocket? Book Your Assignment at The Lowest Price Now!

# Systems and signals square wave

Case I: Square-wave x1(t), 50% duty cycle

f0=500 Hz

To=1/500=0.002s=2 ms

Mathematically, the square-wave can be expressed for a single period as

Therefore the trigonometric Fourier series coefficients of x1(t) are

Case II: Square-wave x2 (t), 25% duty cycle

Mathematically, the square-wave x2 (t) can be expressed for a single period as

Sinusoids from -8 to -1;

```    clear
clc
f_0= 500; % fundamental frequency
t= -0.001:0.00001:0.006; %time axis
Z_50= zeros(1,length(t)); % container for 50% duty cycle waveform
Z_25= zeros(1,length(t)); % container for 25% duty cycle waveform
n=1:16;
n1=sin(pi.*n./2);
d1=(pi.*n./2);
n2=sin(pi.*n./4);
d2=((pi).*n./4);
a_50=[n1./d1]; %fourier coefficients for 50% duty cycle
a_25=[0.5*(n2./d2)]; %fourier coefficients for % duty cycle
for k=1:length(n)
wa=1*cos(2*pi*(k)*f_0*t);
Z_50=Z_50+ a_50(k)*wa;
Z_25=Z_25+ a_25(k)*wa;
end
soundsc(Z_50)
figure (1)
plot(t,Z_50)
hold on
grid on
axis tight
xlabel('time')
ylabel('Amplitude')
title('Square-wave with 50% duty cycle');

figure(2)
plot(t,Z_25)
grid on
axis tight
xlabel('time')
ylabel('Amplitude');
title('Square-wave with 25% duty cycle');
```

## Submit Your Assignment Here

#### AssignmentHippo Features

##### On Time Delivery

Our motto is deliver assignment on Time. Our Expert writers deliver quality assignments to the students.

##### Plagiarism Free Work

Get reliable and unique assignments by using our 100% plagiarism-free.

##### 24 X 7 Live Help

Get connected 24*7 with our Live Chat support executives to receive instant solutions for your assignment.

##### Services For All Subjects

Get Help with all the subjects like: Programming, Accounting, Finance, Engineering, Law and Marketing.

##### Best Price Guarantee

Get premium service at a pocket-friendly rate at AssignmentHippo

#### FREE RESOURCES

• Assignment Writing Guide
• Essay Writing Guide
• Dissertation Writing Guide
• Research Paper Writing Guide

#### FREE SAMPLE FILE

• Accounts
• Computer Science
• Economics
• Engineering

#### Client Review

I was struggling so hard to complete my marketing assignment on brand development when I decided to finally reach to the experts of this portal. They certainly deliver perfect consistency and the desired format. The content prepared by the experts of this platform was simply amazing. I definitely owe my grades to them.