Determining MA models as salvos of pulses

The problem of determining sparse MA models has received much attention in recent years and is of fundamental importance in various application areas such as speech (multi-pulse excitation) or seismic data (wavelet time of arrival). This paper addresses the problem of selection and identification of non-zero coefficients in the MA models (pulse position and amplitude). The selection is done globally in the Fourier transform domain using a (complex) Pisarenko procedure, instead of sequentially. Moreover, the pulses being frequently placed in contiguous locations as a short solvo, a new MA identification method is proposed for this special case. This method only uses the AR model coefficients and the prediction residual as entries.