Power Spectrum Density of Single Side Band CPM Using Lorenztian Frequency Pulses

We propose a new waveform for frequency-shift keying continuous phase modulation (FSK-CPM) that directly generates a single side band (SSB) spectrum. The original principle, inspired from quantum physics (levitons), is presented. From the simple analytical form of the modulation, orthonormal wave-functions and analytical expressions leading to the SSB power spectrum density are proposed. This CPM modulation displays a very compact spectrum, with 99% of the power in the primary bandwidth. Its SSB property makes this FSK-CPM scheme, hereby called SSB-FSK, a promising solution not sensitive to image frequency degradation and would allow large bit rates transmission at low carrier frequency.