A New Construction of 4q-QAM Golay Complementary Sequences

Area of Science:

• Electrical Engineering and Computer Science
• Signal Processing
• Telecommunications

Background:

• Quadrature Amplitude Modulation (QAM) and Golay Complementary Sequences (GCSs) are crucial for enhancing data rates and reducing Peak-to-Mean Envelope Power Ratio (PMEPR) in Orthogonal Frequency Division Multiplexing (OFDM) systems.
• Increasing the family size of QAM GCSs is identified as a key strategy for improving data transmission rates.

Purpose of the Study:

• To propose a novel construction for 4q-QAM GCSs utilizing generalized Boolean functions (GBFs).
• To enlarge the family size of GCSs, thereby improving data rates.
• To achieve a low PMEPR performance in OFDM systems.

Main Methods:

• A new description of a 4q-QAM constellation is developed.
• Generalized Boolean Functions (GBFs) are employed for the construction of 4q-QAM GCSs.
• Theoretical analysis and simulations are conducted to validate the performance of the proposed sequences.

Main Results:

• The proposed construction significantly expands the family size of 4q-QAM GCSs compared to previous methods.
• Previous constructions by Li and Zeng are shown to be special cases of the new method.
• The new sequences achieve a higher data rate while maintaining a comparable PMEPR upper bound to existing methods.

Conclusions:

• The novel GBF-based construction effectively increases the family size of 4q-QAM GCSs, leading to improved data rates.
• The proposed sequences offer a significant advancement in data rate for OFDM systems without sacrificing PMEPR performance.
• This work provides a more effective approach to designing QAM GCSs for future high-data-rate communication systems.