Signal excited by square wave

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SUMMARY

The discussion focuses on the frequency components observed when a symmetric square wave excites both linear and non-linear systems. For linear systems, the output contains the fundamental frequency and its odd harmonics, with amplitudes decreasing as frequency increases. In contrast, non-linear systems, such as those involving diodes, can generate additional harmonics and alter the amplitudes of the fundamental and harmonics, leading to distortion in the output signal.

PREREQUISITES
  • Understanding of Fourier transforms
  • Knowledge of linear and non-linear systems
  • Familiarity with harmonic analysis
  • Basic circuit theory involving diodes
NEXT STEPS
  • Study Fourier series and their application to square waves
  • Learn about the effects of linear systems on signal processing
  • Investigate non-linear distortion in electronic circuits
  • Explore the role of diodes in shaping signal waveforms
USEFUL FOR

Students in electrical engineering, signal processing enthusiasts, and anyone preparing for tests on Fourier analysis and system response to square waves.

faen
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Homework Statement



11. What kind of frequency components can be observed in the output if a linear system is excited by a symmetric square wave?

12. What kind of frequency components can be observed in the output if a non-linear system is excited by a symmetric square wave?

Homework Equations



I have no idea

The Attempt at a Solution



Well, all I was given to answer this problem was the following wikipedia page about Fourier transforms http://en.wikipedia.org/wiki/Fourier_transform. I still feel that I am not sufficiently informed to answer these questions.

I have a test about this in an hour so I please hope somebody can help me out. Thanks a lot.
 
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faen said:

Homework Statement



11. What kind of frequency components can be observed in the output if a linear system is excited by a symmetric square wave?

12. What kind of frequency components can be observed in the output if a non-linear system is excited by a symmetric square wave?

Homework Equations



I have no idea

The Attempt at a Solution



Well, all I was given to answer this problem was the following wikipedia page about Fourier transforms http://en.wikipedia.org/wiki/Fourier_transform. I still feel that I am not sufficiently informed to answer these questions.

I have a test about this in an hour so I please hope somebody can help me out. Thanks a lot.

Well, what is the frequency spectrum of a symmetric square wave? What harmonics are present, and how do they fall off with frequency?

When you have a linear system, what does that mean in terms of how it can affect the fundamental and the harmonic components?

And if you have a non-linear system (think of a diode in the circuit), what can you say about what can happen to the fundamental and the harmonics, in terms of amplitude and frequency effects?
 

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