
Explore Asymmetric Numeral Systems (ANS), an advanced data compression technique, in this Stanford lecture. Gain insights into its principles, applications, and advantages in modern compression algorithms.

Explore harmony in Western music: chord formation, progressions, and modulation. Develop listening skills to identify harmonic changes across diverse musical styles.

Explora matemáticas avanzadas en ingeniería mecánica, desde ODEs y sistemas dinámicos hasta transformadas de Fourier y Laplace, con aplicaciones prácticas en Matlab y análisis de sistemas no lineales.

Comprehensive introduction to cryo-electron microscopy, covering theory, equipment, sample preparation, data collection, and analysis techniques for various biological imaging applications.

Comprehensive exploration of network theory, signals, and systems, covering elements, parameters, transforms, frequency response, synthesis, graph theory, impedance, filters, and Fourier series.

Comprehensive exploration of probability theory, random variables, and stochastic processes, covering fundamental concepts to advanced topics like spectral analysis and adaptive filtering.

Explore quantum mechanics fundamentals, including wave-particle duality, Schrödinger equation, and applications in atomic physics. Develop problem-solving skills for quantum systems.

In this course, you will learn Basic mathematical preliminaries: Dirac Delta function and Fourier Transforms. Wave-particle duality, one- and three-dimensional Schrodinger equation. The free particle problem in one dimension. Wave Packets and Group veloc…

The course covers lessons in digital signal processing. Topics include Discrete-Time Signal and System, Frequency Domain Representation of Discrete Signals, z-Transform, Solution of Difference Equation, Tutorial on Discrete-Time Signals and their Transfo…

This course is a study of signals and systems, covering topics: formal definition of 'signal' and 'system', continuous and discrete signals, continuous and discrete-time systems, Linear Time-Invariant (LTI) systems, representation of continuous and discr…

This course introduces the fundamental principles of signals and system analysis. These concepts form the building blocks of modern digital signal processing, communication and control systems. Hence, a sound understanding of these principles is necessar…

This course covers lessons on probability theory, random variables, mean and variance, linear signal models, z-transform, Kalman filter, variants of least squares estimation, and estimation problems in instrumentation and control.

Comprehensive exploration of signal processing fundamentals, covering continuous and discrete-time systems, Fourier and Laplace transforms, sampling theory, and Z-transforms for practical applications.

Comprehensive exploration of integral transforms, focusing on Laplace and Fourier transforms, their properties, and applications in solving differential equations and boundary value problems.

The course discusses efficient algorithms from a large number of domains. This course assumes the knowledge of data structures, the knowledge big-O notation and the concept of time and space complexity of an algorithm.

Explore computation in natural systems, from primate behavior to physics, examining how information processing occurs across scales and the implications for understanding complex systems.

Explore the thermodynamic costs of communication channels, examining minimal end-to-end requirements and their implications for information transfer efficiency.

Exploring how higher-order network interactions influence non-linear dynamics, synchronization, and percolation in complex systems like brain networks and climate patterns.

This course will introduce you to the basics of discrete-time sequences, z-transform, frequency response of discrete-time systems, sampling, and the DFT.

Explore wavelets and multirate digital signal processing, covering Haar wavelets, filter banks, and Fourier transforms. Gain practical skills through demonstrations on function approximation and image processing.

Explore digital signal processing fundamentals, including sampling, Fourier transforms, discrete systems, filters, and various transform techniques. Gain practical skills in filter design and implementation.