A discrete spectrum (DS) signal transmitter includes a first circuit element comprising a DS signal generator that generates a plurality of DS signals, each DS signal having a different DS frequency, each DS frequency being (a) a harmonic of a fundamental frequency or (b) the fundamental frequency. A second circuit element receives as an input the DS signals and that generates as an output (a) a finite summation of the DS signals or (b) pulses that represent a mathematical equivalent of a summation of an infinite number of the DS signals. An antenna is electrically coupled to an output of the second circuit element. The analog DS signals transmitted by the DS signal transmitter are received by a DS signal receiver that converts the analog DS signals to DS discrete signals and performs a fast Fourier transform of the DS discrete signals.