An electromagnetic matched filter based multiple access communications system
having a source of modulated pulses from a digital data stream; an initial filter
which shapes the incoming modulated pulse into a desired pulse for transmission
across the communication medium; a second filter, identical to the initial filter,
which is matched to the pulse which exit the communication medium, a detector which
converts the modulated pulse stream into the original digital data stream, and
signals which are designed with specific mathematical properties which make the
system efficient and minimizes crosstalk between channels. The signals decay rapidly
from the central lobe at a higher than 1/x rate and the zero points of the autocorrelation
function having high order multiplicities. The type of system allows multiplexing
of multiple data streams with much greater flexibility, robustness, and density.