Power Spectra of Stationary Signals

Wojbor A. Woyczyński ()
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Wojbor A. Woyczyński: Case Western Reserve University, Department of Statistics and Center for Stochastic and Chaotic Processes in Sciences and Technology

Chapter Chapter 5 in A First Course in Statistics for Signal Analysis, 2011, pp 127-142 from Springer

Abstract: Abstract 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.

Keywords: Power Spectrum; White Noise; Inverse Fourier Transform; Power Spectrum Density; Random Signal (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8101-2_5

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DOI: 10.1007/978-0-8176-8101-2_5

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