The remaining terms depend on the noise cross power and vanish for uncorrelated noise signals.
where P ^ x k x j is the cross power spectrum of x k and x j.
The idea is to approximate the cross power spectral density matrix of the response by a low rank matrix.
In these equations, S cu (n) and S Aij (n) are the power spectral density of the generalised input acceleration and corresponding cross power spectrum.
Remarkably, closed-form expressions are obtained for the power spectral density, cross power spectral density, variance and covariance of the beam response along the whole axis.
Chan et al. [19] verified that a least-square (LS) estimator to the phase slope of cross power spectrum was equivalent to the ML estimator.
The idea of BLPOC is to eliminate meaningless high frequency components in the calculation of normalized cross power spectrum R FG [22].
The novelty lies in applying the Lanczos method to the cross power spectral density matrix of the response rather than the excitation.
A very popular TDOA estimation approach is the generalized cross correlation (GCC) method [23, 28, 29], where the cross-correlation between the microphone signals is calculated in the frequency domain as the cross power spectral density (CPSD).
Due to adverse effects of such mutual coupling, many issues induced by cross power cannot be ignored, such as power imbalance in feed lines, high voltage standing wave ratio (VSWR), and etc.
Here, a pairwise instantaneous cross power spectral density (CPSD) (tilde S_{e_{l},e_{j}}(mu,k) = E_{l}(mu,k),E^_{j}(mu,k)) between the error spectra is determined for l≠j.
