Coding Adventure: Sound and the Fourier Transform
Explore sound and the Fourier Transform through coding experiments, learning to break down signals into component frequencies and implementing the Discrete Fourier Transform.
Wavelet Transform: Introduction and Fundamentals - Part 1
Explore the fundamentals of wavelet transform in this introductory lecture, laying the groundwork for understanding its applications in signal processing and analysis.
Hilbert Transforms - Introduction and Fundamentals - Part 1
Explore Hilbert Transforms fundamentals in signal processing. Learn key concepts, applications, and mathematical foundations for analyzing complex signals and systems.
Introduction to Wavelet Transform - Part 3
Explore advanced concepts of wavelet transform, including applications and analysis techniques. Deepen understanding of signal processing and data analysis using wavelets.
Introduction to Wavelet Transform - Part 2 - Lecture 23
Explore advanced concepts of wavelet transform, building on previous knowledge to deepen understanding of this powerful signal processing technique.
Perverse Sheaves and Resurgence in Borel Summation
Explore the connection between resurgence theory and perverse sheaves, focusing on Borel summation, Stokes phenomena, and alien derivatives in algebraic structures.
Shifting and Scaling in Continuous Time - Part I
Explore shifting and scaling techniques in continuous time systems, enhancing understanding of signal processing fundamentals.
Unit Step and Delta Function - Lecture 7
Explore unit step and delta functions in signal processing, understanding their properties and applications in mathematical analysis.
Shifting and Scaling in Continuous Time - Part II
Explore advanced concepts of shifting and scaling in continuous time signals, enhancing your understanding of signal processing fundamentals.
Signals in the Physical World - Lecture 15
Explore signals in the physical world, examining their characteristics, types, and applications in various scientific and engineering domains.
Time-Frequency Representations and Related Topics - Part 3
Explore advanced time-frequency representations and related concepts in signal processing, enhancing understanding of complex signal analysis techniques.
Time-Frequency Representations and Related Topics - Part 4
Explore advanced time-frequency representations and related concepts in signal processing, enhancing understanding of complex signal analysis techniques.
Time-Frequency Representations and Related Topics - Part 2
Explore advanced time-frequency representations and related concepts, building on foundational knowledge to deepen understanding of signal analysis techniques.
Time-Frequency Representations and Related Topics - Part 1
Explore time-frequency representations and related concepts in signal processing, gaining insights into advanced analysis techniques for complex signals.
Smoothing Crypto Time Series with Wavelets - Real-world Data Project
Explore real-world data science through crypto time series smoothing. Learn moving averages, polynomial fits, Fourier transforms, and wavelet decomposition techniques for financial data analysis.
Complex Numbers for Audio Signal Processing
Explore complex numbers visually for audio signal processing, covering Cartesian and polar representations, Euler's formula, and their application in Fourier transforms.
Convolution and the Fourier Series
Explore convolution and its relation to Fourier series, unraveling complex mathematical concepts through clear explanations and real-world analogies.
How Are the Fourier Series, Fourier Transform, DTFT, DFT, FFT, LT and ZT Related?
Comprehensive exploration of Fourier analysis techniques, from series to transforms, explaining relationships and applications in signal processing and communications.
Fourier Transforms
Explore the powerful Fourier transform, its applications in engineering, and its connection to orthogonal basis functions and Fourier series in this comprehensive mathematical lecture.
Michael Baake - A Cocycle Approach to the Fourier Transform of Rauzy Fractals
Explore Fourier transforms of Rauzy fractals and their role in analyzing spectra of Pisot inflation tilings, with applications to diffraction theory and dynamical systems.
On the Riemann Zeta-Function, Fourier Optimization and Quadratic Forms
Explore the Riemann zeta-function, Fourier analysis, and quadratic forms in number theory. Delve into Selberg's theorem, Berry's conjecture, and representation of integers by quadratic forms.