A method of transmitting, on a per-frame basis, a plurality of data symbols over an impaired wireless channel comprising a plurality of narrow-band subcarriers, the method comprising: for each frame, distributing the plurality of data symbols over a 2D orthogonal time frequency space OTFS delay-Doppler frame by assigning each data symbol to its own unique 2D OTFS delay-Doppler frame location; OTFS transforming, using an OTFS transform, the plurality of data symbols on the 2D OTFS delay-Doppler frame by using each data symbol and frame location to modulate a unique, location specific, 2D basis wave function selected from a set of mutually orthogonal 2D basis wave functions operating over a 2D OTFS time-frequency frame, wherein the OTFS transforming spreads each data symbol, in a lossless and invertible manner, throughout substantially all of the 2D OTFS time-frequency frame, wherein the OTFS transforming creates a 2D OTFS time-frequency frame based wave aggregate, and wherein the OTFS transform comprises a symplectic Fourier transform, a symplectic discrete Fourier transform or a symplectic finite Fourier transform; evenly distributing a pattern of signal peaks of the 2D OTFS time-frequency frame based wave aggregate by scrambling the 2D OTFS time-frequency frame based wave aggregate with a scrambling operation to generate a scrambled 2D OTFS time-frequency frame based wave aggregate; and modulating and transmitting portions of the scrambled 2D OTFS time-frequency frame based wave aggregate, over the plurality of narrow-band subcarriers, over a plurality of time intervals, wherein a resolution and extent of the portions, the plurality of narrow-band subcarriers, and the plurality of time intervals are chosen so that the sum of the transmitted portions characterizes the scrambled 2D OTFS time-frequency frame based wave aggregate, and wherein the impaired wireless channel distorts the transmitted portions into channel distorted portions. for each frame, distributing the plurality of data symbols over a 2D orthogonal time frequency space OTFS delay-Doppler frame by assigning each data symbol to its own unique 2D OTFS delay-Doppler frame location; OTFS transforming, using an OTFS transform, the plurality of data symbols on the 2D OTFS delay-Doppler frame by using each data symbol and frame location to modulate a unique, location specific, 2D basis wave function selected from a set of mutually orthogonal 2D basis wave functions operating over a 2D OTFS time-frequency frame, wherein the OTFS transforming spreads each data symbol, in a lossless and invertible manner, throughout substantially all of the 2D OTFS time-frequency frame, wherein the OTFS transforming creates a 2D OTFS time-frequency frame based wave aggregate, and wherein the OTFS transform comprises a symplectic Fourier transform, a symplectic discrete Fourier transform or a symplectic finite Fourier transform; evenly distributing a pattern of signal peaks of the 2D OTFS time-frequency frame based wave aggregate by scrambling the 2D OTFS time-frequency frame based wave aggregate with a scrambling operation to generate a scrambled 2D OTFS time-frequency frame based wave aggregate; and modulating and transmitting portions of the scrambled 2D OTFS time-frequency frame based wave aggregate, over the plurality of narrow-band subcarriers, over a plurality of time intervals, wherein a resolution and extent of the portions, the plurality of narrow-band subcarriers, and the plurality of time intervals are chosen so that the sum of the transmitted portions characterizes the scrambled 2D OTFS time-frequency frame based wave aggregate, and wherein the impaired wireless channel distorts the transmitted portions into channel distorted portions.