Signals & Systems I: Distributions and Linear Systems

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Related lectures (62)

Convolution and Fourier Transform Log in to Mediaspace to watch this video

Explores convolution properties, heat equation application, and Fourier transform on tempered distributions.

Signals and Systems: Sampling Theorem and Applications Log in to Mediaspace to watch this video

Discusses the sampling theorem and its applications in signal processing.

Distributed Transactions: Consistency Spectrum Log in to Mediaspace to watch this video

Explores the spectrum of consistency in distributed transactions, from strong to eventual consistency, and the trade-offs involved.

Sampling and Reconstruction Log in to Mediaspace to watch this video

Covers sampling, Fourier Transform, and reconstruction using low-pass filters in signal processing.

Dynamical Systems for Engineers Log in to Mediaspace to watch this video

Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.

Systems and Linear Equations: Introduction Log in to Mediaspace to watch this video

Introduces systems and linear equations, defining lines and planes in 2D and 3D spaces.

Quantum Bound States Log in to Mediaspace to watch this video

Explores quantum bound states, wave functions, energy levels, and potential energy in quantum systems.

Signals and Systems: Introduction Log in to Mediaspace to watch this video

Introduces the fundamental concepts of Signals and Systems course, emphasizing practical applications of system behavior analysis.

Matrix Inverses: Properties and Calculations Log in to Mediaspace to watch this video

Explores matrix inverses, their properties, calculations, and determinants of invertibility.

Basic Principles of Oscillators Log in to Mediaspace to watch this video

Covers the fundamental principles of oscillators, including signal generators, OPAMP RC oscillator circuits, and multivibrators.

Stochastic Models for Communications: Discrete-Time Markov Chains - First Passage Time Log in to Mediaspace to watch this video

Explores discrete-time Markov chains, emphasizing the concept of first passage time in communication systems.

Laplace Transform Basics Log in to Mediaspace to watch this video

Covers the Laplace transform basics, including examples of complex-valued poles and its application to LTI systems.

Newton Method: Data Interpolation Log in to Mediaspace to watch this video

Covers the Newton method for finding zeros of functions using data interpolation.

Signals & Systems I: Weighting Windows and Gibbs Phenomenon Log in to Mediaspace to watch this video

Explores weighting windows, Gibbs phenomenon, Fourier series, and frequency limitation in signals and systems.

Z-Transforms: Poles and Zeros Log in to Mediaspace to watch this video

Explores Z-Transforms, Poles, Zeros, and their applications in discrete-time systems and Linear Time-Invariant systems.

Gaussian Mixture Models & Noisy Signals Log in to Mediaspace to watch this video

Explores Gaussian mixture models and denoising noisy signals using a probabilistic approach.

Dispersion Models: Understanding Axial Dispersion Coefficient Log in to Mediaspace to watch this video

Explores dispersion models and the axial dispersion coefficient in fluid systems.

Feedback and Stability Log in to Mediaspace to watch this video

Explores negative feedback in analog circuits, focusing on desensitizing gain, reducing distortion, controlling noise, and extending bandwidth.

Quantum Chaos and Scrambling Log in to Mediaspace to watch this video

Explores the concept of scrambling in quantum chaotic systems, connecting classical chaos to quantum chaos and emphasizing sensitivity to initial conditions.

Queueing Theory: Definitions, M/M/s/K Log in to Mediaspace to watch this video

Covers the definitions and properties of queueing systems, focusing on the M/M/s/K model.

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