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Some spectral properties of weighted random processes

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2 Author(s)

We study the power spectrum and, more generally, the spectral covariance of weighted stationary processes. It is found that if the power spectrum of the underlying stationary process is suitably well behaved and properly matched to the weight function, then the high-frequency behavior of the power spectrum and spectral covariance is especially simple. Asymptotic theorems describing this behavior precisely are given.

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IRE Transactions on Information Theory  (Volume:5 ,  Issue: 3 )