Low par zero auto-correlation zone sequences for code sequence modulation

A non-transitory program storage device readable by a machine, tangibly embodying a program of instructions executable by the machine for performing operations, said operations comprising:

• randomly selecting a set of sequences with each sequence comprised of sequence elements, each sequence element having a frequency selected from constellation points on a unit circle in a complex plane, where the selected set of sequences comprises a candidate set of sequences;
• calculating a first cubic metric for each sequence of the candidate set of sequences, where the first cubic metric is for single code modulation;
• and
• in response to the first cubic metric being larger than at least one threshold, removing the corresponding sequence from the candidate set of sequences to obtain at least one saved sequence.

An apparatus comprising:

• a memory and at least one processor, where the at least one processor is configured to:
• randomly select a set of sequences with each sequence comprised of sequence elements, each sequence element having a frequency selected from constellation points on a unit circle in a complex plane, where the selected set of sequences comprises a candidate set of sequences;
• calculate a first cubic metric for each sequence of the candidate set of sequences, where the first cubic metric is for single code modulation;
• and
• in response to the first cubic metric being larger than at least one threshold, remove the corresponding sequence from the candidate set of sequences to obtain at least one saved sequence, where the at least one saved sequence is stored on the memory.