HART Protocol Equalizer Design with DCT-LMS Algorithm and Bit Synchronization Implementation

This paper presents the design of an equalizer for the HART protocol, incorporating both Discrete Cosine Transform-based Least Mean Squares (DCT-LMS) adaptive filtering and bit synchronization techniques. The implementation involves key algorithmic components: the DCT-LMS equalizer utilizes transform-domain adaptive filtering to improve convergence speed in frequency-selective channels, while the bit synchronization module employs digital phase-locked loops (DPLL) for precise timing recovery. Through MATLAB/Simulink simulations, we demonstrate the effectiveness of these designs by evaluating bit error rate (BER) performance under various channel conditions and synchronization scenarios. The equalizer implementation features adaptive tap-weight updates using the LMS algorithm in DCT domain, reducing computational complexity while maintaining tracking capability. Further investigation could explore optimal parameter selection for filter length, step size parameters, and synchronization loop bandwidth, along with performance assessment under different signal-to-noise ratios and multipath conditions. Through in-depth study of these aspects, we can better understand and apply these designs to enhance system performance and reliability in industrial communication applications.