System and method for communicating digital information using time-and-frequency-bounded base functions

For transmitting one or more wideband communication channel system and method based on transmitting medium effectively. Conversion through the digital bit stream according to introduce comprises multiple TFB packet time-frequency with (TFB) information current end of the communication. By using multiple TFB primary functions and conversion. Then transmits the TFB current information on the transmitting medium. Is special, one or more digital bit stream according introduces on the end of binary system of a” and shape of Bits's form. The digital Piece are used comprises multiple TFB waveform part of TFB packet is. The conversion processing maps each input digital Bits's each group of TFB functions corresponding, so the first group of n Piece is mapped the first TFB function, the second set is mapped the second TFB function equal, is butted with the n ohm TFB function. Then the waiting processing is connected to the first TFB function. A random condition; the group of Blades value or a state is provided with a corresponding TFB function of weighting factor unit. And weighting; each of the TFB function distributed corresponding TFB waveform the transmission. The waveform the substantially defined in time domain and frequency domain in a range.