Systems, transmitters, and methods employing waveform bandwidth compression to transmit information

A non-transitory computer readable medium storing instructions, the instructions comprising:

• one or more instructions which, when executed by one or more processors, cause the one or more processors to:
• generate a time-domain amplitude sequence of information using a constant amplitude sinusoidal modulation format;
• fit a polynomial to the time-domain amplitude sequence, the fitted polynomial spanning at least one transmission time interval;
• convert the polynomial to a transmission signal, the transmission signal comprising a sum of sinusoids of differing frequencies, each sinusoid having a continuously time-varying amplitude to be received in the constant amplitude sinusoidal modulation format;
• and
• transmit, via a transmitter, the transmission signal.

An information transmission system comprising:

• a transmitter including
• an encoder to
• generate a time-domain amplitude sequence from information in a constant amplitude sinusoidal modulation format;
• fit a polynomial to the time-domain amplitude sequence, the fitted polynomial spanning at least one transmission time interval;
• convert the polynomial to a transmission signal, the transmission signal comprising a sum of sinusoids of differing frequencies, each sinusoid having a continuously time-varying amplitude;
• and
• a carrier source providing a carrier that is modulated with the transmission signal;
• and
• a receiver including
• a decoder to
• receive the transmission signal as a time- domain amplitude sequence, and
• convert the received time-domain amplitude sequence into the constant amplitude sinusoidal modulation format.