Multicoset-based deterministic measurement matrices for compressed sensing of sparse multiband signals

•It is possible to design deterministic universal multicoset sampling strategies implemented with both asynchronous TI-ADC structures and synchronous multirate TI-ADC schemes for the reconstruction of sparse multiband signals.•For a signal block length L, if the indices of the selected samples are in arithmetic progression of difference D coprime with the block length L, then the sampling pattern is universal.•Most 2M-1 bands of the multiband signal can be reconstructed for M ADCs working at different sampling rates and a block length that is the lcm of the M subsampling factors.