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UKSim 2009: 11th International Conference on Computer Modelling and Simulation
Frequency Domain Modeling for Classification of Signals
March 25-March 27
ISBN: 978-0-7695-3593-7
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.212-216, UKSim 2009: 11th International Conference on Computer Modelling and Simulation, 2009
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