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UKSim 2009: 11th International Conference on Computer Modelling and Simulation
Frequency Domain Modeling for Classification of Signals
March 25March 27
ISBN: 9780769535937
ASCII Text  x  
Kanungo Barada Mohanty, "Frequency Domain Modeling for Classification of Signals," Computer Modeling and Simulation, International Conference on, pp. 212216, UKSim 2009: 11th International Conference on Computer Modelling and Simulation, 2009.  
BibTex  x  
@article{ 10.1109/UKSIM.2009.22, author = {Kanungo Barada Mohanty}, title = {Frequency Domain Modeling for Classification of Signals}, journal ={Computer Modeling and Simulation, International Conference on}, volume = {0}, year = {2009}, isbn = {9780769535937}, pages = {212216}, doi = {http://doi.ieeecomputersociety.org/10.1109/UKSIM.2009.22}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  CONF JO  Computer Modeling and Simulation, International Conference on TI  Frequency Domain Modeling for Classification of Signals SN  9780769535937 SP212 EP216 A1  Kanungo Barada Mohanty, PY  2009 KW  Probability Density Functions KW  Gaussian distribution KW  Fourier Transform KW  sinc function VL  0 JA  Computer Modeling and Simulation, International Conference on ER   
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/UKSIM.2009.22
A probability distribution model is proposed in this paper. Fourier Transform of a unit rectangular pulse, whose width is a random variable with Gaussian distribution, is used to derive the probability density function (p.d.f.) in the frequency domain. Result of the mathematical derivation is an exponential mathematical function involving an infinite summation over all integers. The projection theorem is used to arrive at the exact probability density function. To verify this experimentally, a randomly generated sample of Gaussian numbers, representing the pulse width is mapped onto the frequency domain, and the resulting points have a certain probability distribution, which matches with the theoretically proposed function.
Index Terms:
Probability Density Functions, Gaussian distribution, Fourier Transform, sinc function
Citation:
Kanungo Barada Mohanty, "Frequency Domain Modeling for Classification of Signals," uksim, pp.212216, UKSim 2009: 11th International Conference on Computer Modelling and Simulation, 2009
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