2.0

chapter_02.tex

@@ -1,7 +1,15 @@
 \section{Theoretical Background}
+The following subsections shall provide the reader with the theoretical background of digital signal processing to explain the implementation of ANR on a DSP, 
+We will beginn with the fundamentals of digital signal processing in general, covering transfer-funtions and filters.
+To fully understand ANR, a short deep-dive into the LMS algrotihm is indispensable.
+From there we will continue into the histroy and the mathematical concepts of ANR, which will bring us the core of ANR, the LMS Algorithm
+With this knowledge covered, we will construct the real-world signal flow diagrams and transfer functions, of an implanted CI system essential to implement a functioning ANR on a low-power DSP.
+At the end of chapter two, several Python simualtions shall function as a practical demonstrations of the recently presented thereotec background
+To accomplish that, we will be relying on the book Digital Signal Processing Fundamentals and Applications 2nd Ed 
 \subsection{Fundamentals of digital signal processing, transfer functions and filters}
-\subsection{Introduction to Adaptive Nose Reduction}
 \subsection{Explanation of Finite Impulse Response- and Infinite Impulse Response-filters}
+\subsection{Introduction to Adaptive Nose Reduction}
+
 \subsection{Introduction to the Least Mean Square algorithm for adaptive filtering}
 \subsection{Signal flow diagram showing the origin of the useful signal,
 noise signal, and their coupling}

literature.bib

@@ -19,4 +19,12 @@
   howpublished = {\url{https://blog.medel.pro/de/chirurgie/relevanz-der-ci-elektrode/}},
   year = {2025},
   note = {Accessed on 18.09.2025}
+}
+
+@misc{source_dsp1,
+  author = {Li Tan, Jean Jiang},
+  title = {Digital Signal Processing Fundamentals and Applications 2nd Ed},
+  howpublished = {Elsevier Inc.},
+  year = {2013},
+  note = {ISBN: 978-0-12-415893-1}
 }