Is there a toolbox available for non-linear adaptive filters in MATLAB

I need to implement non-linear adaptive filter in MATLAB. We have

dsp.BlockLMSFilter

dsp.LMSFilter

dsp.RLSFilter

dsp.AffineProjectionFilter

dsp.AdaptiveLatticeFilter

dsp.FastTransversalFilter

dsp.FilteredXLMSFilter

dsp.FrequencyDomainAdaptiveFilter

The above all are all linear adaptive filter. But i want to implement non-linear adaptive filter. Could anyone let me know how to do so? Is there any existing toolbox available in MATLAB or should we write our own? Or in the above mentioned is anything a non-linear adaptive filter??

Answer 1

[Samhitha]

Hi @Monica,

MATLAB doesn't provide a built-in non-linear adaptive filter in DSP System Toolbox. But you can:

• Code Volterra LMS/RLS — extend the input vector to include non-linear terms
• Code Kernel LMS/RLS — using kernel trick (e.g. Gaussian kernel)

For more details, look into following MATLAB File Exchange:

https://www.mathworks.com/matlabcentral/fileexchange/69562-second-order-volterra-lms-filter

https://www.mathworks.com/matlabcentral/fileexchange/46747-kernel-adaptive-filtering-toolbox