(IC 3.9) Source coding theorem (optimal lossless compression)
Proof of Shannon's "Source coding theorem", characterizing the entropy as the best possible lossless compression (using block codes) for a discrete memoryless source. A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837021F
From playlist Information theory and Coding
Matthias Christandl: "Fault-tolerant Coding for Quantum Communication"
Entropy Inequalities, Quantum Information and Quantum Physics 2021 "Fault-tolerant Coding for Quantum Communication" Matthias Christandl - University of Copenhagen Abstract: Designing encoding and decoding circuits to reliably send messages over many uses of a noisy channel is a central
From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021
Reconstruction and the Sampling Theorem
http://AllSignalProcessing.com for more great signal-processing content: ad-free videos, concept/screenshot files, quizzes, MATLAB and data files. Analysis of the conditions under which a continuous-time signal can be reconstructed from its samples, including ideal bandlimited interpolati
From playlist Sampling and Reconstruction of Signals
Aliasing and the Sampling Theorem Simplified
http://AllSignalProcessing.com for free e-book on frequency relationships and more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. A presentation of aliasing, the sampling theorem, and the Fourier transform representation of a sampled s
From playlist Sampling and Reconstruction of Signals
This video is a brief introduction to linear codes: dimensions, G (generating matrix), H (parity check matrix), their forms. Also gives an example of how to convert between G and H. Here is the formal definition of a Linear Code: A linear code of dimension k and length n over a field
From playlist Cryptography and Coding Theory
(IC 1.4) Source-channel separation
The source-encoder-channel-decoder-destination pipeline. Decoupling the combined encoding problem into compression (source coding) and error-correction (channel coding) via the source-channel separation theorem. A playlist of these videos is available at: http://www.youtube.com/playlist?
From playlist Information theory and Coding
Notation and Basic Signal Properties
http://AllSignalProcessing.com for free e-book on frequency relationships and more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Signals as functions, discrete- and continuous-time signals, sampling, images, periodic signals, displayi
From playlist Introduction and Background
Low Pass Filters & High Pass Filters : Data Science Concepts
What is a low pass filter? What is a high pass filter? Sobel Filter: https://en.wikipedia.org/wiki/Sobel_operator
From playlist Time Series Analysis
(IC 1.1) Information theory and Coding - Outline of topics
A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837021F Overview of central topics in Information theory and Coding. Compression (source coding) theory: Source coding theorem, Kraft-McMillan inequality, Rate-distortion theorem Error-correctio
From playlist Information theory and Coding
Introduction to Frequency Selective Filtering
http://AllSignalProcessing.com for free e-book on frequency relationships and more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Separation of signals based on frequency content using lowpass, highpass, bandpass, etc filters. Filter g
From playlist Introduction to Filter Design
Nexus Trimester - Joerg Kliewer (New Jersey Institute of Technology)
Lossy Compression with Privacy Constraints: Optimality of Polar Codes Joerg Kliewer (New Jersey Institute of Technology) April 01, 2016
From playlist Nexus Trimester - 2016 - Secrecy and Privacy Theme
Polynomial Maps With Noisy Input-Distributions - Jop Briet
Workshop on Additive Combinatorics and Algebraic Connections Topic: Polynomial Maps With Noisy Input-Distributions Speaker: Jop Briet Affiliation: Centrum Wiskunde & Informatica Date: October 25, 2022 A problem from theoretical computer science posed by Buhrman asks to show that a certa
From playlist Mathematics
Measurements vs. Bits: Compressed Sensors and Info Theory
October 18, 2006 lecture by Dror Baron for the Stanford University Computer Systems Colloquium (EE 380). Dror Baron discusses the numerous rich insights information theory has to offer Compressed Sensing (CS), an emerging field based on the revelation that optimization routines can reco
From playlist Course | Computer Systems Laboratory Colloquium (2006-2007)
Capacity Approaching Coding for Low Noise (...) - D. Touchette - Main Conference - CEB T3 2017
Dave Touchette (Waterloo) / 12.12.2017 Title: Capacity Approaching Coding for Low Noise Interactive Quantum Communication Abstract: We consider the problem of implementing two-party interactive quantum communication over noisy channels, a necessary endeavor if we wish to fully reap quan
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Nexus trimester - Michael Langberg (SUNY at Buffalo)
A reductionist view of network information theory Michael Langberg (SUNY at Buffalo) February 08, 2016 Abstract: The network information theory literature includes beautiful results describing codes and performance limits for many different networks. While common tools and themes are evi
From playlist Nexus Trimester - 2016 - Distributed Computation and Communication Theme
Determining Signal Similarities
Get a Free Trial: https://goo.gl/C2Y9A5 Get Pricing Info: https://goo.gl/kDvGHt Ready to Buy: https://goo.gl/vsIeA5 Find a signal of interest within another signal, and align signals by determining the delay between them using Signal Processing Toolbox™. For more on Signal Processing To
From playlist Signal Processing and Communications
Shannon 100 - 26/10/2016 - Olivier RIOUL
Shannon’s Formula Wlog(1+SNR): A Historical Perspective Olivier Rioul (Télécom-ParisTech) As is well known, the milestone event that founded the field of information theory is the publication of Shannon’s 1948 paper entitled "A Mathematical Theory of Communication". This article brings t
From playlist Shannon 100