From 35fcb48624590ce86eb07a18f0c55cc98ffea490 Mon Sep 17 00:00:00 2001 From: Patrick Hangl Date: Wed, 24 Sep 2025 17:14:10 +0200 Subject: [PATCH] 2.0 --- chapter_02.tex | 10 +++++++++- literature.bib | 8 ++++++++ 2 files changed, 17 insertions(+), 1 deletion(-) diff --git a/chapter_02.tex b/chapter_02.tex index 115641a..42d9403 100644 --- a/chapter_02.tex +++ b/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} diff --git a/literature.bib b/literature.bib index c8b9db8..bdd1df1 100644 --- a/literature.bib +++ b/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} } \ No newline at end of file