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
