Key research themes
1. How do variable step-size strategies improve LMS algorithm performance and stability?
This research theme investigates the design, analysis, and implementation of variable step-size (VSS) mechanisms to enhance the convergence speed, stability, and mean-square error performance of the classical LMS algorithm. It is critical because classical LMS, with fixed step-size, often suffers from a trade-off between convergence speed and steady-state error. VSS algorithms adaptively update the step-size based on error feedback or other statistics, yielding better transient and steady-state behaviors, particularly in dynamic or noisy environments.
2. What architectural modifications and delay schemes enable high-speed or hardware-efficient LMS implementations?
This theme addresses the challenge of implementing LMS algorithms at high sampling rates for real-time applications, particularly on hardware such as VLSI or pipelined architectures. Introducing delays and parallel processing modifies algorithmic timing and computational dependencies. Research on generalized delayed LMS (DLMS) variants explores multiple delay types and their impact on convergence, providing necessary constraints and guidelines for system designers aiming for high-speed, low-complexity, and stable LMS adaptive filters suitable for hardware realization.
3. How can LMS algorithm variants and adaptive filtering be applied for noise reduction and power quality improvement in engineering systems?
This theme explores practical applications of LMS-based adaptive filtering methods in noise cancellation, industrial measurement fault detection, wireless sensor networks, and power quality enhancement. Modifications and variants such as variable step-size LMS, binormalized data-reusing LMS, and NLMS are examined for their effectiveness in real-world noisy environments. Studies assess convergence speed, steady-state error, and computational efficiency in these applied contexts, highlighting LMS adaptability in improving signal quality and operational reliability.



