commit 47ace42ec416ac22e2723e67bb5be44260cc1931
parent 6529ae14e52aeb91aac811974462ac03f5b1f3ac
Author: jatinchowdhury18 <[email protected]>
Date: Tue, 12 Feb 2019 13:02:19 -0800
[skip travis] init readme
Diffstat:
3 files changed, 22 insertions(+), 5 deletions(-)
diff --git a/Paper/420_paper.pdf b/Paper/420_paper.pdf
Binary files differ.
diff --git a/Paper/420_paper.tex b/Paper/420_paper.tex
@@ -390,19 +390,25 @@ $27$ kA/m \cite{jilesBook}.
A typical analog recorder adds a high-frequency "bias"
current to the signal to avoid the "deadzone" effect when the input signal
crosses zero, as well as to linearize the output. The input
-signal to the record head can be given by
+current to the record head can be given by
\cite{Camras:1987:MRH:27189}:
\begin{equation}
- \hat{V}_{head}(n) = \hat{V}_{in}(n) + B \cos(2 \pi f_{bias} n T)
+ \hat{I}_{head}(n) = \hat{I}_{in}(n) + B \cos(2 \pi f_{bias} n T)
\end{equation}
%
-Where the amplitude of the bias current $B$ is at least one order
-of magnitude larger than the input. The output signal can be
+Where the amplitude of the bias current $B$ is usually
+about one order of magnitude larger than the input,
+and the bias frequency $f_{bias}$ is well above the
+audible range. The output signal can be
recovered after the recording and playback processes
by subtracting out the bias current.
\subsection{Tape Speed}
-
+The frequency response of the playback from a tape
+recorder is also dependent on the tape speed. Faster
+speeds typically correspond to better high-frequency
+response. In this case, we model the tape speed response
+as a simple low-pass filter.
%\newpage
\nocite{*}
diff --git a/README.md b/README.md
@@ -0,0 +1,11 @@
+# Physical Modeling for Analog Tape Machines
+[](https://travis-ci.com/jatinchowdhury18/AnalogTapeModel)
+
+This repository contains an academic paper and corresponding
+computer simulations and implementations for a signal processing
+system that performs real-time physical modeling for an analog
+tape machine.
+
+This work is part of a class project for [Music 420](https://ccrma.stanford.edu/courses/420/) at Stanford
+University (CCRMA), and is planned to be presented at the
+[2019 DAFx conference](http://dafx2019.bcu.ac.uk/).
