A Homotopy Approach for Multirate Spectrum Estimation

We present a technique for spectral analysis in the context of multi-rate sampling by a collection of sensors. Correlation of the time-domain samples gives rise to moment constraints for the power spectrum. A homotopy-based technique is then used to identify consistent power spectra. The spectra we obtain are at a minimum distance in the Kullback-Leibler sense to a given "prior" and the "maximum entropy" power spectrum corresponds to the special case where the prior is white