Modulation scheme for low peak average power ratio (PAPR)

A method for wireless communication, comprising:

• receiving a sequence s(k) that is generated based on a time-domain sequence x(i), wherein the sequence s(k) is an inverse Fourier transform of a frequency-domain sequence S(j), and wherein S(j) represents a dot-multiplication of a frequency-domain sequence Y(j) corresponding to the time-domain sequence x(i) and a frequency domain sequence Z(j) corresponding to a three-coefficient function associated with
• 2
• 2
• ,
• 1, and
• 2
• 2
• ,
• wherein i is from 0 to I−1, j is from 0 to J−1, k is from 0 to K−1, and I<J<=K;
• and
• demodulating the sequence s(k) to determine the time-domain sequence x(i).

An apparatus for wireless communication comprising a processor and a memory storing instructions, execution of which by the processor causes the apparatus to:

• determine, for a time-domain sequence x(i), an output sequence s(k), wherein the output sequence s(k) is an inverse Fourier transform of a frequency-domain sequence S(j), and wherein S(j) represents a dot-multiplication of a frequency-domain sequence Y(j) corresponding to the time-domain sequence x(i) and a frequency-domain sequence Z(j) corresponding to a three-coefficient function that is associated with
• 2
• 2
• ,
• 1, and
• 2
• 2
• ;
• and
• generate a waveform using the output sequence s(k), wherein i is from 0 to I−1, j is from 0 to J−1, k is from 0 to K−1, and I<J<=K.

An apparatus for wireless communication comprising a processor and a memory storing instructions, execution of which by the processor causes the apparatus to:

• receive a sequence s(k) that is generated based on a time-domain sequence x(i), wherein the sequence s(k) is an inverse Fourier transform of a frequency-domain sequence S(j), and wherein S(j) represents a dot-multiplication of a frequency-domain sequence Y(j) corresponding to the time-domain sequence x(i) and a frequency domain sequence Z(j) corresponding to a three-coefficient function associated with
• 2
• 2
• ,
• 1, and
• 2
• 2
• ,
• wherein i is from 0 to I−1, j is from 0 to J−1, k is from 0 to K−1, and I<J<=K;
• and
• demodulate the sequence s(k) to determine the time-domain sequence x(i).