Appendix G
The Gradient Method
This appendix is related to Chapter 4. Let us consider the specific case of a single-coefficient gradient based filter:
From Figure G.1, we see that the derivative 
is positive. Our task now is to update the filter coefficient using the term 
.
Note that if the derivative is negative, 
is positive and the value HN(k–1) increases.
Figure G.1. Reduction in the gradient for the case of a filter with one coefficient
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