Phase errors in the cross spectrum estimate due to misalignment

Abstract

is the tine delay.When the crose spectrum is estimated where there is a delay between the two input signals, itIn nost practical estimation problems one has is shown that the corresponding misalignment gives a limited, I seconds, long segment of each input both magnitude and phase errors. The existence of signal. The delay, D, then gives a reduced overlap the phase error is a new result. The importance of of the two inputs of T-D seconds. This is referred the errors depend on the algorithms used. It is to as misalignment, and it gives an error in the shown that the misalignment may either be given by cross spectrum estimate. This error was investigathe total observation time or by the section length ted by Carter [4[ and Rroenert Es], but they only in the processor. In the latter case the effect of found the effect on the magnitude of the cross phase errors must be considered when the section spectrum. In this paper the effect on the phase is length is low, that is when the cross spectrum is also found.smooth, requiring little resolution. EXPECTED VALUE OF THE CROSS SPECTRUM INTROOUCTIONThe input signals are s(t) end r(t) = s(t-D) +