Sequence Generation

A method for generating a sequence having length L and limited maximum auto-correlation, the method comprising:

• at a controller, generating the sequence by one of:
• (a) splitting a base sequence into multiple equal-size segments of length L and adding said segments elementwise, wherein the base sequence is longer than the generated sequence, and
• (b) generating several cyclically shifted versions of a base sequence, adding the cyclically shifted versions together, and truncating said added cyclically shifted versions to have length L, wherein the base sequence is longer than the generated sequence;
• and
• at a radio transceiver device in a 5G radio communication system, transmitting the generated sequence as a random-access preamble or a part thereof.

A controller for generating a sequence having length L and limited maximum auto-correlation, the controller comprising processing circuitry, the processing circuitry being configured to cause the controller to:

• generate the sequence by one of:
• (a) splitting a base sequence into multiple equal-size segments of length L and adding said segments elementwise, wherein the base sequence is longer than the generated sequence, and
• (b) generating several cyclically shifted versions of a base sequence, adding the cyclically shifted versions together, and truncating said added cyclically shifted long versions to have length L, wherein the base sequence is longer than the generated sequence;
• and
• make the generated sequence available to a radio transceiver device in a 5G radio communication system for transmission as a random-access preamble or part thereof.

A non-transitory computer-readable medium comprising, stored thereupon, a computer program for generating a sequence having length L and limited maximum auto-correlation, the computer program comprising computer code which, when run on processing circuitry of a controller, causes the controller to:

• generate the sequence by one of:
• (a) splitting a base sequence into multiple equal-size segments of length L and adding said segments elementwise, wherein the base sequence is longer than the generated sequence, and
• (b) generating several cyclically shifted versions of a base sequence, adding the cyclically shifted versions together, and truncating said added cyclically shifted versions to have length L, wherein the base sequence is longer than the generated sequence;
• and
• make the generated sequence available to a radio transceiver device in a 5G radio communication system for transmission as a random-access preamble or part thereof.