Power Spectra of Stationary Signals



The Fourier transform X(f) of the sample paths of a stationary, real-valued random signal X(t) does not exist in the usual sense and analysis of the spectral contents of such signals requires a different, more subtle approach which has to rely on the concept of the mean power of the random signal. Only then we can investigate how it is distributed over different frequencies. The question is, of course, of fundamental importance in practical applications, as real-life signal processing devices such as measuring instruments, amplifiers, antennas, etc. transmit different frequencieswith different attenuation.


Power Spectrum White Noise Inverse Fourier Transform Power Spectrum Density Random Signal 


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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of Statistics and Center for Stochastic and Chaotic Processes in Sciences and TechnologyCase Western Reserve UniversityClevelandUSA

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