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The Fourier Transformation
@PyDataVenice #12 #Meetup #PyData
Alessandra Bilardi
Data & Automation Specialist
● AWS User Group Venezia member
● Coderdojo member
● PyData Venezia member
alessandra.bilardi@gmail.com
@abilardi
bilardi
Alessandra Bilardi
Data & Automation Specialist
● AWS User Group Venezia member
● Coderdojo member
● PyData Venezia member
alessandra.bilardi@gmail.com
@abilardi
bilardi
Alessandra Bilardi
Data & Automation Specialist
● AWS User Group Venezia member
● Coderdojo member
● PyData Venezia member
alessandra.bilardi@gmail.com
@abilardi
bilardi
Alessandra Bilardi
Data & Automation Specialist
● AWS User Group Venezia member
● Coderdojo member
● PyData Venezia member
alessandra.bilardi@gmail.com
@abilardi
bilardi
Alessandra Bilardi
Data & Automation Specialist
● AWS User Group Venezia member
● Coderdojo member
● PyData Venezia member
alessandra.bilardi@gmail.com
@abilardi
bilardi
Agenda
Goal
Challenge
Solutions
Results
Applications
Goal
Goal
https://commons.wikimedia.org/wiki/File:Sin.svg
Goal
https://commons.wikimedia.org/wiki/File:Sin.svg
Goal
https://commons.wikimedia.org/wiki/File:Sin.svg
Challenge
Challenge
Challenge
Challenge
Challenge
Challenge
Challenge
Challenge
Data simulation code
Solutions
Custom algorithm
Goal:
count periods
Challenge:
signal decomposition
Custom algorithm
Goal:
count periods
Challenge:
signal decomposition
● input
○ signal composition
● output
○ periods for each signal
The Fourier
transformation
Goal:
count periods
Challenge:
signal decomposition
The Fourier
transformation
Goal:
count periods
Challenge:
signal decomposition
● input
○ signal composition
● output
○ frequency
○ each signal
Signal decomposition code
Results
● input
○ signal composition
● output
○ frequency
○ each signal
Results
● input
○ signal composition
● output
○ frequency
○ each signal
Results
● input
○ signal composition
● output
○ frequency
○ each signal
Results
● input
○ signal composition
● output
○ frequency
○ each signal
Machine Learning
Goal:
count periods
Challenge:
signal decomposition
Machine Learning
Goal:
count periods
Challenge:
signal decomposition
● training data
○ signal composition
○ blank for each signal
● inference data
○ signal composition
○ each signal
Signal decomposition code
Results
● training data
○ signal composition
○ blank for each signal
● inference data
○ signal composition
○ each signal
Results
ECG 1
● training data
○ signal composition
○ blank for each signal
● inference data
○ signal composition
○ each signal
Results
ECG 1 ECG 2
● training data
○ signal composition
○ blank for each signal
● inference data
○ signal composition
○ each signal
The Fourier
transformation
Goal:
signal cleaning
Pay attention:
signal reduction
The Fourier
transformation
Goal:
signal cleaning
Pay attention:
signal reduction
● input
○ signal composition
● output
○ frequency
○ signal
○ noice
Applications
ECG, compression, pattern, audio, vibration
Applications
● biomedical signal analysis
ECG, compression, pattern, audio, vibration
Applications
● biomedical signal analysis
● data compression
ECG, compression, pattern, audio, vibration
Applications
● biomedical signal analysis
● data compression
● pattern recognition
ECG, compression, pattern, audio, vibration
Applications
● biomedical signal analysis
● data compression
● pattern recognition
● audio processing
ECG, compression, pattern, audio, vibration
Applications
● biomedical signal analysis
● data compression
● pattern recognition
● audio processing
● vibration analysis
ECG, compression, pattern, audio, vibration
Thanks for listening.
@PyDataVenice #12 #Meetup #PyData

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