START
This eBook
Copyright
 Tools und
Installation 
What Tools?
What Editor? WinPython
download Spyder IPython Notebook Interpreter
Control Panel Qt TortoiseHg
 Basics PYTHON

How to learn a language?
Variables
Variables
Input from Console
Lists
Methods on Lists
Methods and Functions on Lists
Lists in Lists in ....
Visualize lists
FORLoop
Compiler and Interpreter
range()
Such a FORLoop
Zwei FORSchleifen
Comments
IFELSE
IFELSE
Endless loop
Endless loop
True and False
Define functions
Calling functions
Multiple return values
33 reserved keywords
 NumPy

What is NumPy?
Datentype Array
1D, 2D, 3D Array
Datentyps
Array Dimensions
Slice
Functions and methods on array
Declare large arrays
Save/load data
Loading measurement data
Time vector
 Matplotlib

Introduction
Plot(x)
Label
Plot(x,y)
Two Signals plott
Subplot
Histogram Scatter
Plot image
3D Plot
More 3D Plots
 SciPy

What is SciPy?
Subpackages
 Approximation 
Interpolation and
approximation
Data for interpolation
and spline
1DInterpolation
Linear and nonlinear
interpolation
Interpolation Number of
points
Univariane Spline
Online and offline
signal processing
UnivarianteSpline Factor
k
2D Interpolation
Online and Offline DSP

Digital filters 
Basis Filter
Filters with and
without feedback
Average value as LP
filter
Average value as LP
filter in Python
Normalized cutoff
frequency
Calculate coefficients
a and b
Change filter order
Frequenzgang
Phase delay
FIR band lock
FIR bandpass
FIR high pass
remez()Function
IIRFilter
IIRFilder Designe
IIRDESIGN Function LPFilter
IIRDESIGN Function HPFilter
IIRDESIGN Function BPFilter
 FFT

FFT Basics
Online and offline
signal processing
Ideal FFT
FFT normalize
Everything times two
FFT Frequency Scale
FFT correct?
Many sampling points
are good!
Fast scanning also good
Ahannon Gesetz bitte
nicht verletzen
periode passt nicht
Beginning and end do
not fit
Window
Two sine signals
IFFT
Power spectrum
Power Density Spectrum
Spectrogram
2DSpectrum
What else is there?
Differentiation and
integration
 Image processing 
Image processing with PYTHON
Python(x,y)
Matplotlib can load images
Image is a matrix
You can calculate with
matrices
Color image, grayscale image
and binary image
With SciPy you can still use
image processing
PIL and image processing
Load SciKit image an image
Histogram of gray image
What is a histogram?
Black/white image
Black/white image with
sckitimage
Adaptive threshold
Contrast and brightness
Filter in image processing
Filter Functionality
GaussFilter
MedianFilter
mean valueFilter
High PassFilter
Edge detection with Sobel
filter
Edge detection horizontal only
Sobeledge detector
GaußFilter
All Filter
Morphology
2D FFT
Example FFT 2D
What does matching mean?
Example Matching
Texture and surface
Tracking
3DDetection
 VPython and
Simulation 
Introduction
First 3D element
box()
sphere()
Animation
Animation Change of state
Trailer
Plot(x,y)
Vector as speed
Moon and earth orbit
Simulation Technology
From differential to integral
calculus
LTI systems and Bodediagram
 PyBrain and
machine Learning 
What does Machine Learning
mean?
Installation
Register in WinPython module
Learning with and without
teachers
Supervised Learning
Student= NN
NN should learn x*x
Supervised NN in Python
Supervised Learning algorithm
Backpropagation
How to
use a network?
More neurons
Even more neurons
Overloading
InputOutput Neurons
Learning rate
Why normalize to 0 to 1?
Example XOR
Learning until a threshold is
reached
More data
Random data between 0 and 1
2 inputs and 1 output
From regression to
classification
Classification with NN
Sequential data type
and even more .......
 SymPy and
mathematics
What is SymPy?
What is Computer Algebra
System CAS?
Add two numbers
Fractions
Calculating with PI
Calculating with variables
Computer Algebra Tools
Linear equation
equate define
Solve equation by hand
Solve equation with SymPy
Gamma
Solving equations with SymPy
in Python
Rational numbers
Calculating two equations by
hand
Calculating two equations with
SymPy
Two equations and two
independents
Differentiate function f
Integrate function f
Power series
Matrices
Limits
THE END
