Kingdom of Saudi Arabia

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Kingdom of Saudi Arabia

• COE 341DATA AND COMPUTER COMMUNICATIONS

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Presentation on

• Fourier Series of
• a Square Wave

Done By Abdullaziz Al-Harbi Saleh Al-Mutawa
For Dr. Radwan Abdel-Aal
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CONTENTS

• INTRODUCTION
• PROGRAMMING TOOLS
• APPLICATION DEVELOPED
• CHALLENGES AND PROBLEMS
• WHAT WE LEARNED

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? INTRODUCTION

• Outcomes of This Course
• Fourier Series
• A mathematical tool used for analyzing periodic
  functions by decomposing such a function into a
  weighted sum of much simpler sinusoidal component
  functions

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? Fourier Series of Square signal
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? Historical background

• Euler and D. Bernoulli
• It is started on The Science on Vibrating Strings
  
• But the theory of Fourier series truly began with
  the on heat conduction Science.
• At the beginning of the 19th century.

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? Programming Tools

• We have used labview compiler which is very
  creative programming tool that make programming
  much easier by representing the programming
  statement text into graphic statement that
  require no coding but little experience of
  programming.
• The graphic of the program statement is
  represented as if it is an electronic circuits

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Programming Tools

• Since each programming functions is represented
  as block of electronic component that receive an
  inputs and upon that it gives an output .
• the received inputs are like the parameters of
  the function and the output is like the return
  value.

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Programming Tools
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APPLICATION DEVELOPED

• We have developed a software that simulates
  Fourier series theory. The software represent the
  Fourier Series for a Square Wave function.
• K parameter is the odd iteration of adding the
  sine wave . A represents the amplitude of the
  signals. Here, F represents the frequency of the
  signals. As we notice this complete the function
  parameters of the Square wave function.

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CHALLENGES AND PROBLEMS

• adding the sine waves was a mystery
• we thought that adding a sine wave needs a
  trigometric equivalents
• .We also faced a problem the feedback of adding
  the sine functions need an initial sine function
• we also faced the problem of having an odd K as
  we enter an i number in the K field.

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Conclusion

• In the end we had great experience in doing our
  project program since we have learnt the labview
  programming and how to tackle its issues. We also
  understand the Fourier Series concept since all
  the very complicated functions can be
  represented by the addition of a simpler ones