The Compressive Multiplexer for Multi-Channel Compressive Sensing

The recently developed compressive sensing (CS) framework en-ables the design of sub-Nyquist analog-to-digital converters. Several architectures have been proposed for the acquisition of sparse sig-nals in large swaths of bandwidth. In this paper we consider a more flexible multi-channel signal model consisting of several discontigu-ous channels where the occupancy of the combined bandwidth of the channels is sparse. We introduce a new compressive acquisition architecture, the compressive multiplexer (CMUX), to sample such signals. We demonstrate that our architecture is CS-feasible and sug-gest a simple implementation with numerous practical advantages. Index Terms — compressive sensing, spectrum sensing, random demodulator, multiplexing, multichannel separation 1