Spectrum Position Sensing for Sparse Multiband Signal with Finite Rate of Innovation

Different from conventional sub-Nyquist sampling methods for sparse multiband signal, the modulated wideband converter system provides a feasible way that can solve the case when carrier frequency is unknown. In this structure, there is a block entitled continuous to finite (CTF) to find the support of origin signal with some prior information about bands of signal. In this paper, we consider the challenging problem of determine the support of signal, whose known the number of the bands and the maximum bandwidth of each of the bands. We propose another approach to achieve the spectrum position sensing for sparse multiband signal with finite rate of innovation (FRI). First, represent the multiband signal as another sparse form which is the type of FRI signal in another transform domain. Then, use FRI theory to process this signal and confirm the support of origin signal without prior information about bands. Finally, obtain the spectrum position of multiband signal for future application like monitoring, interference or interception.