Patent ID: 8064541

Claim:
A communications system comprising: a modulator arranged to receive a bit stream of binary data input thereto, the modulator comprising: a signal generator arranged to generate four orthonormal hyper phase shift keying (HPSK) basis functions that are periodic functions having with a duration T, and a bit to symbol mapper for combining the bit stream and the HPSK basis functions to form a succession of 4-bit HPSK symbols for 16-HPSK, 5-bit HPSK symbols for 32-HPSK, and 6-bit HPSK symbols for 64-HPSK; a transmitter connected to the bit to symbol mapper and arranged to receive the HPSK symbols and to transmit signals indicative of the HPSK symbols; a receiver arranged to receive the signals indicative of the HPSK symbols from the transmitter; and a demodulator connected to the receiver and arranged to demodulate the HPSK symbols with the HPSK basis functions and reproduce the bit stream of binary data, wherein the HPSK basis functions are ϕ 1 ⁡ ( t ) = A E s ⁢ cos ⁡ ( 2 ⁢ π ⁡ ( f c + 1 / ( 2 ⁢ T ) ) ⁢ t ) ϕ 2 ⁡ ( t ) = A E s ⁢ sin ⁡ ( 2 ⁢ π ⁡ ( f c + 1 / ( 2 ⁢ T ) ) ⁢ t ) ϕ 3 ⁡ ( t ) = A E s ⁢ sin ⁡ ( 2 ⁢ π ⁡ ( f c - 1 / ( 2 ⁢ T ) ) ⁢ t ) ϕ 4 ⁡ ( t ) = A E s ⁢ cos ⁡ ( 2 ⁢ π ⁡ ( f c - 1 / ( 2 ⁢ T ) ) ⁢ t ) where A is the amplitude and E s = A 2 ⁢ T 2 is the energy per symbol.