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	Spectral Representation Theorem: I • \|Fourier transform\|2 of {gt} decomposes energy across f ’s (this is the essence of Parseval’s theorem) • goal: decompose variance of {Xt} across frequencies (assume E{Xt} = 0, Add to Reading List Document Date: 2015-04-08 09:59:36 Open Document File Size: 449,71 KB Share Result on Facebook IndustryTerm energy / / SocialTag Integral transforms Complex analysis Signal processing Spectral density Fourier transform Methods of contour integration .dz Mathematical analysis Joseph Fourier Fourier analysis

Spectral Representation Theorem: I • |Fourier transform|2 of {gt} decomposes energy across f ’s (this is the essence of Parseval’s theorem) • goal: decompose variance of {Xt} across frequencies (assume E{Xt} = 0,Add to Reading List