An analog-to-digital conversion system includes a first processor, a bank of N analog-to-digital converters, and a second processor. The first processor receives M input signal streams, performs a wave-front multiplexing transform that includes a first set of wave-front vectors on the M input signal streams in analog domain and outputs concurrently N mixed signal streams, M and N being integers and N≧M>1. The N analog-to-digital converters convert the N mixed signal streams from analog format to digital format and output concurrently N digital data streams. The second processor receives the N digital data streams, performs a wave-front de-multiplexing transform that includes a second set of wave-front vectors on the N digital data streams in digital domain and outputs concurrently N output data streams such that the N output data streams include M output data streams that correspond respectively to the M input signal streams.