Radios operating in a slowly fading channel require adaptive communication links that adjust to channel conditions that are not always ideal. Matching a communication link's bit rate to the channel conditions is critical to maximize throughput. A fractional bits per symbol communication system is discussed as a possible method to better adapt to channel conditions. Sequences of constellations containing non-powers-of-2-points are used to facilitate the fractional-bits per symbol system and create multi-symbol waveforms. Equations governing sequences are described. Mapping schemes are explored as a method of mapping waveforms to binary strings. The relationship between sequence properties, length, number of points, and waveform utilization efficiency, are shown to affect the bit error rate.
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https://www.ece.unb.ca/petersen/pubs/WePe21/