Abstract: A communication or data transmission system having one or more transmitters placing input signals in digital pulse form if they are not already in such form, storing and time stretching of such pulses, conversion of the pulses into time-frequency matrix addresses and phase shifting each of a set of RF carriers within given time slots to one of a predetermined number of phase angles during each time frame for transmittal to maximize the number of bits of information that can be transmitted in a given bandwidth and minimizing transmission errors. Receivers connected to the transmitters by a transmission medium, such as a telephone cable, reverse the processing of the transmitters.

Abstract: A delta modulator produces a digital bit stream from an input analog waveform and applies same to bit-averaging circuitry dividing the bit stream into time-frame intervals and computing the average slope per frame. Each average time-frame slope value is transmitted over a communication system as a discrete digital signal and at a receiver each such signal is employed to set the gain of a multi-level integrator and thus incrementally reconstruct the original waveform.