Presentation draft	Create a list of slides with content for a presentation. If you have enough data, for each slide create a list of key information points (or simply provide text information for each slide). The titles of all slides must be formatted as headings (do not numerate slides)
Which subject	Science
What age group	College
What topic	Fourier Transform
Number of slides	15
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Introduction

• Definition of Fourier Transform
• Importance of Fourier Transform in science

History

• Brief history of Fourier Analysis
• Fourier Transform as a breakthrough in Mathematics

Mathematics behind the Fourier Transform

• Continuous Fourier Transform
• Discrete Fourier Transform
• Fourier Series

Applications of Fourier Transform

• Image Processing
• Audio Processing
• Data Compression

Time and Frequency domain representation

• Introduction to time and frequency analysis
• Advantages of using frequency domain representation

Types of Fourier Transform

• Continuous Fourier Transform
• Discrete Fourier Transform
• Fast Fourier Transform

Computing Fourier Transform

• MATLAB functions for Fourier transform
• Python libraries for Fourier transform

Properties of Fourier Transform

• Linearity and Time-shifting property
• Symmetry and Convolution property

Windowing and Leakage

• Introduction to windowing
• Concept of leakage and its reduction

Signal Processing

• Signal filtering
• Signal smoothing using Fourier Transform

Fourier Transform in Quantum Mechanics

• Fourier Transform in position representation
• Fourier Transform in momentum representation

Limitations of Fourier Transform

• Heisenberg's Uncertainty Principle
• Signal reconstruction error

Future of Fourier Transform

• Current research in Fourier Analysis
• Applications in emerging technologies

Conclusion

• Summary of key points
• Importance of Fourier Transform in everyday life.