Non-zero insertion based modulation scheme for low peak average power ratio

A wireless communication method, comprising:

• receiving a sequence generated based on an output of a convolutional modulation between a plurality of values and an intermediate sequence, wherein the plurality of values comprises [p, p], wherein
• p
• =
• 1
• ,
• 1
• 2
• ;
• or wherein the plurality of values comprises p[a, 1, a], wherein
• p
• =
• 1
• 2
• ,
• 1
• 2
• ⁢
• ❘
• "\[LeftBracketingBar]"
• a
• ❘
• "\[RightBracketingBar]"
• 2
• +
• 1
• ⁢
• and
• ⁢
• ❘
• "\[LeftBracketingBar]"
• a
• ❘
• "\[RightBracketingBar]"
• <
• 1.
• wherein the intermediate sequence is generated by inserting a set of coefficients between coefficients of an input sequence, wherein each non-zero coefficient of the set of coefficients is inserted between a first adjacent coefficient and a second adjacent coefficient, and wherein each non-zero coefficient has (1) a power that is between a first power of the first adjacent coefficient and a second power of the second adjacent coefficient, and (2) a phase value between a first phase value of the first adjacent coefficient and a second phase value of the second adjacent coefficient;
• and
• demodulating the sequence to determine the input sequence.

A wireless communication apparatus comprising a processor and a memory storing instructions, execution of which by the processor causes the apparatus to perform operations comprising:

• determining, for an input sequence, an output sequence corresponding to an output of a convolutional modulation between a plurality of values and an intermediate sequence, wherein the plurality of values comprises [p, p], wherein
• p
• =
• 1
• ,
• 1
• 2
• ;
• or wherein the plurality of values comprises p[a, 1, a], wherein
• p
• =
• 1
• 2
• ,
• 1
• 2
• ⁢
• ❘
• "\[LeftBracketingBar]"
• a
• ❘
• "\[RightBracketingBar]"
• 2
• +
• 1
• ⁢
• and
• ⁢
• ❘
• "\[LeftBracketingBar]"
• a
• ❘
• "\[RightBracketingBar]"
• <
• 1.
• wherein the intermediate sequence is generated by inserting a set of coefficients between coefficients of the input sequence, wherein each non-zero coefficient of the set of coefficients is inserted between a first adjacent coefficient and a second adjacent coefficient, and wherein each non-zero coefficient has (1) a power that is between a first power of the first adjacent coefficient and a second power of the second adjacent coefficient and (2) a phase value between a first phase value of the first adjacent coefficient and a second phase value of the second adjacent coefficient;
• and
• generating a waveform using the output sequence.

A wireless communication apparatus comprising a processor and a memory storing instructions, execution of which by the processor causes the apparatus to perform operations comprising:

• receiving a sequence generated based on an output of a convolutional modulation between a plurality of values and an intermediate sequence, wherein the plurality of values comprises [p, p], wherein
• p
• =
• 1
• ,
• 1
• 2
• ;
• or wherein the plurality of values comprises p[a, 1, a], wherein
• p
• =
• 1
• 2
• ,
• 1
• 2
• ⁢
• ❘
• "\[LeftBracketingBar]"
• a
• ❘
• "\[RightBracketingBar]"
• 2
• +
• 1
• ⁢
• and
• ⁢
• ❘
• "\[LeftBracketingBar]"
• a
• ❘
• "\[RightBracketingBar]"
• <
• 1.
• wherein the intermediate sequence is generated by inserting a set of coefficients between coefficients of an input sequence, wherein each non-zero coefficient of the set of coefficients is inserted between a first adjacent coefficient and a second adjacent coefficient, and wherein each non-zero coefficient has (1) a power that is between a first power of the first adjacent coefficient and a second power of the second adjacent coefficient, and (2) a phase value between a first phase value of the first adjacent coefficient and a second phase value of the second adjacent coefficient;
• and
• demodulating the sequence to determine the input sequence.