Tuesday 18 December 2012

Premiere Post - A Fourier Event

 I've had always thought of blogging, but somehow, I never get to start...not that I don't have anything to share, but for some reasons, I don't just get to write posts.

Nota Bene:
This blog post might be a bit boring and unprofessional...perhaps because it is my first blog post and I've not read so many blog posts either, so pardon my ineptitude in blogging.

My first post is about one of my most recent projects is a Fourier Synthesis virtual laboratory that I developed.

Joseph Fourier who happens to share the same birthday (21st of March) with me :) was the one who first proposed that all periodic waveforms can be decomposed into a sum of sine waveforms which is essentially, the fourier series.

For Electronic, Electrical or/and Computer Engineering students, you'll someday, out of curiousity or necessity want to verify or relate the theory of Fourier series to the real life.

The major types of periodic waveforms that Engineers & Scientists like to use and understudy are square waveforms, triangular waveforms, and saw-tooth or ramp waveforms.

According to Fourier, all signals are a sum of sine signals and therefore, sawtooth, square and triangular waveforms just happen to be sums sine waves of different harmonics...

The laboratory is built in LabVIEW, a graphical programming language.
The laboratory is an interactive one where you can synthesize any of the above three periodic waveforms. You also get to set the frequency, amplitude & offset position of the signal. You also get to select the harmonics of the frequency...


Below are some screenshots of the lab in action...enjoyy


Triangular Waveform Synthesis

Sawtooth (Ramp) Waveform Synthesis
Square Waveform Synthesis
If you really want to find out more about fourier synthesis, I think you should read about sawtooth wave, squarewave and triangular....

Thanks for reading, comments are welcome :)

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