Multi-dimensional constellations with low peak-to-average power ratio

A receiving device, comprising:

• a processing system that includes one or more processors and one or more code-storing memories coupled with the one or more processors, the processing system configured to cause the receiving device to:
• receive a signal that includes one or more sets of M quadrature phase shift keying (QPSK) symbols;
• and
• demodulate the one or more sets of M QPSK symbols in accordance with a constellation to obtain one or more groups of k bits, wherein the constellation comprises 2k points selected from a set of points associated with M QPSK constellations, wherein each point of the 2k points corresponds to a respective set of M QPSK symbols of the one or more sets of M QPSK symbols, and wherein k and M are positive integers.

A method of wireless communication performed by a transmitting device, comprising:

• obtaining a constellation that comprises 2k points selected from a set of points associated with M quadrature phase shift keying (QPSK) constellations, wherein k and M are positive integers;
• modulating one or more groups of k bits to one or more sets of M QPSK symbols based at least in part on the constellation, wherein each point of the 2k points corresponds to a respective set of M QPSK symbols of the one or more sets of M QPSK symbols;
• and
• transmitting a signal that includes the one or more sets of M QPSK symbols.