Continuously adaptive dynamic signal separation and recovery system

A channel sharing method where (1) a number of channels need to be shared among multiple transmitter sources, which may operate independently of one another, and (2) the number of said channels is less than the number of transmitter sources, and (3) the multiple transmitter sources each transmit messages using any set of modulation techniques, which may vary among transmitters, and some of which may be unknown, and (4) the said multiple transmitter sources transmit messages in a channel simultaneously by way of modulating the messages onto several asynchronous carriers, thus generating transmitter signals that may have overlapping spectra, and (5) such transmitted signals are mixed with one another in the channel subject to the physical properties of the channel so that the resulting composite signal in the channel may consist of the superposition of the transmitter signals, and (6) at the receiver end, a receiver, which uses multiple antennae or mimics the use of multiple antennae, detects or constructs simultaneous multiple copies of the superimposed transmitter signals with at least one received or reconstructed copy being different from the other copies and (7) the said multiple copies are processed to obtain the original transmitted signals by a signal separation method or apparatus that separates the superimposed signals at least partially into their unmixed components and estimates at least one of the original transmitter signals or messages.

A channel sharing method where (1) a number of channels need to be shared among multiple transmitter sources, and (2) the number of said channels are less than the number of transmitter sources, and (3) the multiple transmitter sources transmit messages using one or more types of modulation techniques independent of one another in a narrowband or broadband channel simultaneously by way of modulating the signals onto several asynchronous carriers, which, prior to or after modulation, may have overlapping spectra, and (4) such transmitted signals are mixed with another in the channel so that the resulting composite signal in the channel may consist of the superposition of the modulated signals comprising the steps of receiving the transmitted signals, detecting multiple dissimilar copies of the superimposed transmission signals and processing by signal separation the dissimilar copies of the superimposed transmission signals to obtain the original transmitted signals in accord with the following equations:

• TY′=−AY−DY+BE
• where
• T is a r×r diagonal matrix,
• A is a nonsingular positive definitive matrix of size r×r
• and may be used as the identity matrix,
• Y is a vector of size r comprised of the outputs that are expected to approximate the original unmixed sources,
• Y′ is a vector of size r, where “′” denotes the rate of change derivative with respect to a parameter t, Y′ is dY/dt,
• D is the unmixing matrix of size r×r,
• B is a matrix of size r×m
• and when r=m, B is the identity matrix,
• E is a vector of size m comprised at the detected mixed received signals,
• and where the entries of the unmixing matrix D, dij, are updated according to the update equation:
• d′ij=ηijfi(yi)gj(yj)
• where ηij is a small constant or decaying function, fi() and gj() are odd functions, yiand yj are elements of the vector Y comprised of the outputs that are expected to approximate the original unmixed sources, and “′” denotes the rate of change derivative with respect to the same parameter t.