Abstract: Systems and methods for efficiently conveying one or more broadband communication channels over a transmission medium. Communication is effected by transforming an incoming digital bit stream into a Time-and-Frequency-Bounded (TFB) information stream that includes a plurality of TFB packets. This transformation is accomplished through the use of a plurality of TFB basis functions. More particularly, digital bit streams carried on one or more incoming channels are in the form of binary “on” and “off” bits. These digital bits are converted into a plurality of TFB waveform components which together comprise a TFB packet. The conversion process maps each of respective incoming digital bits to a corresponding one of a group of TFB functions, such that a first group of n bits is mapped to a first TFB function, a second group is mapped to a second TFB function etc. in a cyclical fashion.

Abstract: A multiplexing system and method for conveying simultaneously a multiplicity of communication channels over a single transmission medium. Multiplexing is effected by transforming a digital bit stream of each respective incoming channel into a corresponding prime frequency information stream and transmitting all of the prime frequency information streams over the single transmission medium. Digital bit streams carried on each incoming channel entering the system are in the form of binary “on” and “off” bits. These digital bits are converted into a corresponding information stream at a prime frequency component. Each prime frequency information stream is rendered distinctive and non-interfering with other prime frequency information streams during simultaneous transmission over the common medium due to the unique and heretofore unexploited mathematical properties of prime numbers.

Abstract: Systems and methods for efficiently conveying one or more broadband communication channels over a transmission medium. Communication is effected by transforming an incoming digital bit stream into a prime frequency information stream that includes a plurality of prime frequency components. This transformation can be accomplished through the use of a plurality of mathematical basis functions. The prime frequency information stream is then transmitted over the transmission medium. More particularly, digital bit streams carried on one or more incoming channels are in the form of binary “on” and “off” bits. These digital bits are converted into a plurality of prime frequency components which together comprise a prime frequency information stream. The conversion process maps each of respective incoming digital bits to a corresponding one of a group of orthogonal basis functions.

Abstract: Systems and methods for efficiently conveying one or more broadband communication channels over a transmission medium. Communication is effected by transforming an incoming digital bit stream into a Time-and-Frequency-Bounded (TFB) information stream that includes a plurality of TFB packets. This transformation is accomplished through the use of a plurality of TFB basis functions. The TFB information stream is then transmitted over the transmission medium. More particularly, digital bit streams carried on one or more incoming channels are in the form of binary “n” and “off” bits. These digital bits are converted into a plurality of TFB waveform components which together comprise a TFB packet.

Abstract: Systems and methods for efficiently conveying one or more communication channels over a transmission medium. Communication is effected by transforming an incoming digital bit stream into a Hermite-Gaussian information stream that includes a plurality of Hermite-Gaussian packets. This transformation is accomplished through the use of a plurality of Hermite-Gaussian basis functions. The Hermite-Gaussian information stream is then transmitted over the transmission medium. More particularly, digital bit streams carried on one or more incoming channels may be in the form of binary “on” and “off” bits. These digital bits are converted into a plurality of Hermite-Gaussian waveform components which together comprise a Hermite-Gaussian packet. The conversion process maps each of respective incoming digital bits to a corresponding one of a group of Hermite-Gaussian functions.

Abstract: A multiplexing system and method for conveying simultaneously a multiplicity of digital communication channels over a single transmission medium. Multiplexing is effected by transforming the digital bitstream of each incoming channel to a digitally-represented sound bitstream and transmitting all of the digitally-represented sound bitstreams over the single medium. Digital bitstreams carried on each incoming channel entering the system which are in the form of binary “on” and “off” bits, are converted into a digital stream of corresponding sound bits. Each sound bitstream is rendered distinctive and non-interfering with other streams during simultaneous transmission over the common medium by having the digitally-represented sound bits of each bitstream derived from a unique prime number Hertz frequency.