Complementary Sequences

Post date: Jul 27, 2019 9:18:9 PM

I have presented our recent study on complementary sequences at WSELAB @ University of South Carolina under the management of Dr. David Matolak and CoSINC @ Istanbul Medipol University (https://cosinc.medipol.edu.tr/) under the management of Dr. Huseyin Arslan. The slides are attached below.

In the slides, we discuss the complementary sequences and their applications in 5G NR and IEEE 802.11ba. I also introduce our generic complementary sequence encoder that we developed with Rui Yang, InterDigital. It is essentially an extension of Jedwab and Davis' remarkable theorem that was published in 1999, based on Budisin's recursive construction methods.

The block diagram for the encoder is given as follows. The details can be found at the link below.

https://arxiv.org/abs/1810.02383v2

Other applications are as follows:

IEEE 11ba (GC'19): https://arxiv.org/abs/1908.04940

NR in unlicensed bands (NR-U) (ICC'19): https://arxiv.org/abs/1904.01181, https://arxiv.org/abs/1909.03958

AI-based PHY design (Golay layer, ICC'20): https://arxiv.org/abs/2002.07701

Complete encoder:

I have prepared some demonstrations below, which illustrate how each part of our encoder works. The PAPR of an OFDM symbol is always less than or equal to 3 dB although the phase and the amplitude of the elements of the resulting sequence and the spacing between the clusters within the sequence change. The CS encoder may be useful to address where a single carrier scheme may not reduce the PAPR effectively, e.g., non-contiguous resource allocation in the frequency domain.

Phase encoder (please click on the figure if it does not start automatically):

Amplitude encoder (please click on the figure if it does not start automatically):

Shift encoder (please click on the figure if it does not start automatically):