Pulse-shaping filters for improving the spectral efficiency of broadband satellite systems

A method for communicating a signal in a wireless communication network, the method comprising:

• converting a stream of information bits to a sequence of symbols by a transmitter;
• modulating the sequence of symbols onto a data signal by the transmitter;
• obtaining a target throughput characteristic and a target power penalty characteristic for the wireless channel;
• pulse-shaping, by a non-Nyquist partial response (NNPR) filter of the transmitter, the data signal with a non-Nyquist pulse-shaping waveform to generate a pulse-shaped signal, the non-Nyquist pulse-shaping waveform generated by:
• weighting a non-Nyquist waveform as a function of a first tunable weighting factor to generate a weighted non-Nyquist waveform;
• and
• generating the non-Nyquist pulse-shaping waveform by applying weighted orthogonalization to the weighted non-Nyquist waveform as a function of a second tunable weighting factor, the second tunable weighting factor controlling a non-zero amount of inter-symbol interference (ISI) in the non-Nyquist pulse-shaping waveform, wherein:
• the first tunable weighting factor and the second tunable weighting factor are set such that the non-Nyquist pulse-shaping waveform is generated to yield a throughput at least meeting the target throughput characteristic accompanied by a power penalty at least meeting the target power penalty characteristic;
• and
• transmitting the pulse-shaped baseband signal by the transmitter over a wireless channel of the wireless communication network.

A computational system comprising:

• a set of processors;
• a non-transitory memory having instructions stored thereon, which, when executed, cause the set of processors to perform steps comprising:
• converting a stream of information bits to a sequence of symbols by a transmitter;
• modulating the sequence of symbols onto a data signal by the transmitter;
• and
• pulse-shaping, by a non-Nyquist partial response (NNPR) filter of the transmitter, the data signal with a non-Nyquist pulse-shaping waveform to generate a pulse-shaped signal, the non-Nyquist pulse-shaping waveform generated by:
• weighting a non-Nyquist waveform as a function of a first tunable weighting factor to generate a weighted non-Nyquist waveform;
• and
• generating the non-Nyquist pulse-shaping waveform by applying weighted orthogonalization to the weighted non-Nyquist waveform as a function of a second tunable weighting factor, the second tunable weighting factor controlling a non-zero amount of inter-symbol interference ISI in the non-Nyquist pulse-shaping waveform wherein the first tunable weighting factor and the second tunable weighting factor are set, based on the channel impulse response:
• to increase a throughput over a wireless channel at a given power penalty, and/or to minimize a power penalty at a given throughput over the wireless channel for forward-link communications over the wireless channel;
• and
• to decrease adjacent channel interference for return-link communications over the wireless channel.