Linear Gain Controller Aided Iterative Soft Sequential Acquisition for Primitive Polynomials.

In 5G cellular communication systems, achieving low latency is crucial to support the `tactile' Internet with response times of less than one millisecond. Traditional initial synchronization methods face challenges due to high delays. This manuscript presents a novel approach using an EXtrinsic Information Transfer (EXIT) chart-aided method to investigate the concurrence of m-sequences using Iterative Soft Sequence Estimation (ISSE) in a communication channel. The ISSE technique leverages the concept of an Automatic Gain Controller (AGC), which gradually increases the gain as the number of chips in the m-sequence generator grows, both at the transmitter and the receiver. Our ISSE method stands out by achieving sequence synchronization at the receiver with as few as F successive chips for a sequence of (2(F) - 1) chips. We base our work on the EXIT chart, eliminating the need for interleavers, which introduce transmission delays. To address the delay issue, we exploit the inherent interrelationship of the m-sequence generator's concern chips, which have a duration of (2(F) - 1), as influenced by the Linear Feedback Shift Register (LFSR) in our ISSE model. We observe that low-order Primitive Polynomials (PPs) exhibit lower Erroneous Loading Probability (P-e) than higher-order PPs at a specific Signal-to-Noise Ratio (SNR). PPs with identical order but fewer connection taps outperform those with more connection taps. The EXIT chart analysis reveals that lower-order PPs exhibit a larger opening tunnel between the outer and inner curves, resulting in higher achievable rates in our proposed system. Moreover, PPs with lower order achieve higher Mutual Information (MI) more efficiently with the assistance of our ISSE system compared to higher-order PPs.