# Practical Python Wavelet Transforms (I): Fundamentals

## Practical Python Wavelet Transforms (I): Fundamentals

World-real Projects with PyWavelets, Jupyter notebook, Pandas and Many More
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### What you'll learn

• Difference between time series and Signals
• Basic concepts on waves
• Basic concepts of Fourier Transforms
• Basic concepts of Wavelet Transforms
• Classification and applications of Wavelet Transforms
• Setting up Python wavelet transform environment
• Built-in Wavelet Families and Wavelets in PyWavelets
• Approximation discrete wavelet and scaling functions and their visuliztion

### Requirements

• Basic Python programming experience needed
• Basic knowledge on Jupyter notebook, Python data analysis and visualiztion are advantages, but are not required

### Description

The Wavelet Transforms (WT)  or wavelet analysis is probably the most recent solution to overcome the shortcomings of the Fourier Transform (FT). WT transforms a signal in period (or frequency) without losing time resolution.  In the signal processing context, WT provides a method to decompose an input signal of interest into a set of elementary waveforms, i.e. “wavelets”., and then  analyze the signal by examining the coefficients (or weights) of these wavelets.

Wavelets transform can be used for stationary and nonstationary signals, including but not limited to the following:

noise removal from the signals

trend analysis and forecationg

detection of abrupt discontinuities, change, or abnormal behavior, etc. and

compression of large amounts of data

the new image compression standard called JPEG2000 is fully based on wavelets

data encryption，i.e. secure the data

Combine it with machine learning to improve the modelling accuracy

Therefore, it would be great for your future development if you could learn this great tool.  Practiclal Python Wavelet Transforms includes a series of courses, in which one can learn Wavelet Transforms using word-real cases. The topics of  this course series includes the following topics:

Part (I): Fundmentals

Discrete Wavelet Transform (DWT)

Sationary Wavelet Transform (SWT)

Multiresolutiom Analysis (MRA)

Wavelet Packet Transform (WPT)

Maximum Overlap Discrete Wavelet Transform (MODWT)

Multiresolutiom Analysis based on MODWT (MODWTMRA)

This course is the fundmental part of this course series, in which you will learn the basic concepts concerning Wavelet transofrms, wavelets families and their members, savelet and scaling functions and their visualization, as well as setting up Python Wavelet Transform Environment. After this course, you will obtain the basic knowledge and skills for the advanced topics in the future courses of this series. However, only the free preview parts  in this course are prerequisites for the advanced topics of this series.

### Who this course is for:

• Data Analysist, Engineers and Scientists
• Signal Processing Engineers and Professionals
• Machine Learning Engineers, Scientists and Professionals who are seeking advance algrothms
• Acedemic faculties and students who study signal processing, data analysis and machine learning
• Anyone who likes signal processing, data analysis,and advance algrothms for machine learning

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