An improved fixed point LMS &RLS Adaptive Filter with Low Adaption Delay

Abstract

 In the Adaptive filter, the transfer function seems to be controlled by either a variable 
parameter or a way to set such parameters in accordance with the best solution. The algorithm's 
complexity necessitates a higher level of complexity.
Digital filters are the most common adaptive filters. Due to the fact that certain parameters of the 
planned processing operation are unknown or may be changed during execution, adaptive filters 
may be required in some cases. To improve its transfer function, the closed-loop adaptive filter 
employs an error signal as feedback.
Digital signal processors, such as mobile phones and other communication devices, camcorders and 
digital cameras, as well as medical monitoring equipment, are increasingly relying on adaptive filters 
to improve their performance.
A closed-loop adaptive filter would have the notion that a variable filter is optimized until the error 
(inconsistency between the filter output and the ideal signal) is decreased.
Diagram of an adaptive filter in Fig. 1.1
When k is the reference null, as in