I need to create a project report on the topic "Nonlinear adaptive filtering algorithms" in some practical applications, there is a nonlinear relationship between the desired and reference inputs. This necessitates the application of nonlinear adaptive filtering algorithms, which try to model both nonlinear and linear relationship between the inputs. Based on the analysis of two research papers

$-$NONLINEAR ADAPTIVE FILTERS: DESIGN AND APPLICATION by Peter M$.$Grant and B$.$Mulgrew And Architectures and algorithms for nonlinear adaptive filters. Kindly provide well detailed and technical information for the below sections based on the above two thesis reports:

$1.)$Introduction$,$

$2.)$Literature Survey,

$3.)$Well derived formulas and their extended derivations and explainations of the formulas used,

$4.)$Methodology$,$

$5.)$Well detailed Theories needed for non adaptive filtering,

$6)$well derived COMPLEX AND LENGTHY MATLAB CODE for different TYPES OF non$-$linearities such as sine function and other algorithms as well, paramters used, constants, their dervations, explainations SIMULATION and Output,

$7)$Comments on the Results for different types of non$-$linearities obtained,

$8)$Well defined Conclusion

NOTE: I understand it's a lengthy task. Please take your time and provide a geniune and well detailed and expalained technical information for the above sections and Please do not use functions available in MATLAB adaptive filtering toolbox. Implementing the algorithm by yourself would be highly appreciated