Distributed compressive sensing of multi-domain sparse signals in distributed edge systems

A method of receiving in a distributed edge system, the distributed edge system comprising sources that compressively sample and transmit source signals over a channel to a receiver, the method comprising:

• receiving, at the receiver, radio frequency (RF) signals from the channel in an environment;
• converting, using front-end circuits of the receiver, the RF signals into mixed signals at baseband having a discrete-time basis, each of the mixed signals comprising a mixture of the source signals;
• executing, at a processor of the receiver, an implementation of convolutive blind source separation (CBSS) in multiple domains using measurements of the mixed signals as input to separate estimated source signals from the mixed signals and determine estimated channel coefficients for the channels;
• and
• sending, from the receiver to the sources, information to adjust sampling rates in response to a relation between the measurements, the estimated source signals, and the estimated channel coefficients.

A distributed edge system, comprising:

• sources disposed in an environment, the sources configured to compressively sample and transmit source signals;
• and
• a receiver disposed in the environment, the receiver comprising:
• sensors configured to receive radio frequency (RF) signals from a channel in the environment, the sensors including front-end circuits configured to convert the RF signals into mixed signals at baseband having a discrete-time basis, each of the mixed signals comprising a mixture of the source signals;
• and
• a processor, coupled to the sensors, configured to:
• use measurements of the mixed signals with an implementation of convolutive blind source separation (CBSS) in multiple domains to separate estimated source signals from the mixed signals and determine estimated channel coefficients for the channels;
• and send, to the sources, information to adjust sampling rates in response to a relation between the measurements, the estimated source signals, and the estimated channel coefficients.