diff --git a/chapter_02.tex b/chapter_02.tex index 0002dd5..09f421d 100644 --- a/chapter_02.tex +++ b/chapter_02.tex @@ -52,8 +52,9 @@ Examples for an adaptive filter is the Least-Mean-Square-Algorithm used for adap \subsection{Finite Impulse Response- and Infinite Impulse Response-filters} Before we continue with the introduction to the actual topic of this thesis, ANR, two very essential filter designs need further explanation - the Finite Impulse Response- (FIR) and Infinite Impulse Response-filters (IIR). \subsubsection{Finite Impulse Response-filters} +A Finite Impulse Respone Filter, commonly referred to as a ''Feedforward Filter'' is defined through the property, that it uses only present and past input values and not feedback from output samples - therefore the response of a FIR-filter reaches zero after a finite number of samples. Due to the fact, that there is no feedback, a FIR-filter offers unconditional stability, meaning that the filter response can“t diverge in any case. A disatavante to the FIR-filter desgin is the relatively slow frequency reaction compared to its IIR counterpart. \subsubsection{Infinite Impulse Response-filters} - +A Ininite Impulse Respone Filter, commonly referred to as a ''Feedback Filter'' does, in contrary to its FIR-counterpart, use past output samples in addition to current and past input samples - hterefore the response of a IIR-filter theoretically continues indefinitely. \subsection{Introduction to Adaptive Nose Reduction}