alexa Fourier Transform using Spring-Mass System | Open Access Journals
ISSN: 0974-7230
Journal of Computer Science & Systems Biology
Like us on:
Make the best use of Scientific Research and information from our 700+ peer reviewed, Open Access Journals that operates with the help of 50,000+ Editorial Board Members and esteemed reviewers and 1000+ Scientific associations in Medical, Clinical, Pharmaceutical, Engineering, Technology and Management Fields.
Meet Inspiring Speakers and Experts at our 3000+ Global Conferenceseries Events with over 600+ Conferences, 1200+ Symposiums and 1200+ Workshops on
Medical, Pharma, Engineering, Science, Technology and Business

Fourier Transform using Spring-Mass System

Rostislav Persion*

New York Institute of Technology, USA

*Corresponding Author:
Rostislav Persion
New York Institute of Technology, USA
Tel: +1 8453671017
E-mail: [email protected]

Received date: January 09, 2017; Accepted date: February 22, 2017; Published date: February 27, 2017

Citation: Persion R (2017) Fourier Transform using Spring-Mass System. J Comput Sci Syst Biol 10:017. doi:10.4172/jcsb.1000242

Copyright: © 2017 Persion R. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Visit for more related articles at Journal of Computer Science & Systems Biology

Fourier transform converts an amplitude over frequency data set into an amplitude over frequency data set. An example of its application is the equalizer in a sound system. The equalizer takes a sample of the sound and converts it into an amplitude over frequency bar graph. Every sample of an analog wave form can be broken down into a set of sine waves. It is even possible to make something as complex as a square wave by combining multiple sine waves together. There are many mathematical models and algorithms to accomplish this task, however there aren’t many mechanical analogies for the process.

Using a mechanical analogy Fourier transform can be accomplished by setting up a row of tuning forks which pick up sound from a piano as seen in Figure 1. You can set up a tuning fork for each note which will resonate with the music. When you press the C key, the tuning fork which resonates with the C key will begin to vibrate while the others are at a stand still.

computer-science-systems-biology-row-tuning-forks

Figure 1: A row of tuning forks which pick up sound from a piano.

In order to simulate a tuning fork inside of a computer program, the software engineer must create a model which works the same way. The best and most simple method is to simulate a spring-mass system which also has the property of having a mechanical resonance and behaves the same way as a tuning fork. In Figure 2, you can see a model of a springmass tuning fork analogy. Using Hooke's law and a particle simulation, you will have all the elements necessary to make the simulation work. Each spring-mass element will be fed an analog signal and will resonate if it is exposed to a sine wave component which matches it. Amplitude over frequency can be established by measuring the average sinusoidal velocity of the mass connected to the spring which then is used as the output of the transform.

 
computer-science-systems-biology-spring-mass-tuning-fork-analogy

Figure 2: A model of a spring-mass tuning fork analogy.

Select your language of interest to view the total content in your interested language
Post your comment

Share This Article

Relevant Topics

Recommended Conferences

Article Usage

  • Total views: 1342
  • [From(publication date):
    March-2017 - Jul 24, 2017]
  • Breakdown by view type
  • HTML page views : 1279
  • PDF downloads :63
 

Post your comment

captcha   Reload  Can't read the image? click here to refresh

Peer Reviewed Journals
 
Make the best use of Scientific Research and information from our 700 + peer reviewed, Open Access Journals
International Conferences 2017-18
 
Meet Inspiring Speakers and Experts at our 3000+ Global Annual Meetings

Contact Us

 
© 2008-2017 OMICS International - Open Access Publisher. Best viewed in Mozilla Firefox | Google Chrome | Above IE 7.0 version
adwords