Abstract: Disclosed is a system and method for transmitting and receiving digital data, wherein (1) a receiving mechanism is configured to receive an incoming stream of digital information carried on at least one incoming line; (2) a weighing mechanism is configured to generate respective weighing factors using the digital information; (3) a signal generation mechanism is configured to generate a plurality of smooth Time-and-Frequency-Bounded functions; and (4) a mapping mechanism is coupled to the signal generation mechanism, wherein the mapping mechanism is configured to apply weighing factors generated by the weighing mechanism to a corresponding Time-and-Frequency-Bounded function, and subsequently summing the weighted Time-and-Frequency-Bounded functions to thereby generate a corresponding plurality of Time-and-Frequency-Bounded packets, the plurality of Time-and-Frequency-Bounded packets comprising a Time-and-Frequency-Bounded information stream, and a transmission mechanism transmits the plurality of Time-and-Fr

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: 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: 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: 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. 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: 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: 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: 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.