Lattice and bridged-T equalizers are circuits which are used to correct for the amplitude and/or phase errors of a network or transmission line. Usually, the aim is to achieve an overall system performance with a flat amplitude response and constant delay over a prescribed frequency range, by the addition of an equalizer.In the past, designers have used a variety of techniques to realize their equalizer circuits. These include the method of complementary networks; the method of straight line asymptotes; using a purpose built test-jig; the use of standard circuit building blocks,; or with the aid of computer programs. In addition, trial and error methods have been found to be surprisingly effective, when performed by an experienced designer. In video or audio channels, equalization results in waveforms that are transmitted with less degradation and have sharper transient edges with reduced overshoots (ringing) than before. In other applications, such as CATV distribution systems or frequency multiplexed telephone signals where multiple carrier signals are being passed, the aim is to equalize the transmission line so that those signals have much the same amplitude. The lattice and bridged-T circuits are favoured for passive equalizers because they can be configured as constant-resistance networks such as the Zobel network, as pointed out by Zobel and later by Bode. The single word description “equalizer” is commonly used when the main purpose of the network is to correct the amplitude response of a system, even though some beneficial phase correction may also be achieved at same time. When phase correction is the main concern, the more explicit term "phase equalizer" or "phase corrector" is used. (In this case, the circuit is usually an all-pass network which does not alter the amplitude response at all such as the lattice phase equalizer). When equalizing a balanced transmission line, the lattice is the best circuit configuration to use, whereas for a single-ended circuit with an earth plane, the bridged-T network is more appropriate. Although equalizer circuits, of either form, can be designed to compensate for a wide range of amplitude and phase characteristics, they can become very complicated when the compensation task is difficult, as is shown later. A variety of methods has been used to design equalizers and some of these are described below. Several of the procedures date back to the early part of the 20th century when equalizers were needed by the rapidly expanding telephone industry. Later, with the advent of television, the equalisation of video links became very important too. (Wikipedia).
Katalin Gyarmati: On the cross-combined measure of families of binary lattices and sequences
Abstract: The cross-combined measure (which is a natural extension of crosscorrelation measure) is introduced and important constructions of large families of binary lattices with nearly optimal cross-combined measures are presented. These results are important in the study of large famili
From playlist Women at CIRM
Lattice Multiplication - Whole Number Multiplication
This video explains how to use the method of lattice multiplication to multiply whole numbers. Library: http://www.mathispower4u.com Search: http://www.mathispower4u.wordpress.com
From playlist Multiplication and Division of Whole Numbers
Bond percolation on a square lattice. Each edge of the lattice is open with probability p, independently of all others. p is varied from 0 to 1. The connected component of the left-hand boundary is highlighted. It touches the right-hand boundary for p close to 0.5. For more information,
From playlist Percolation
How to calculate interplanar spacing
In this example we show how to calculate the interplanar spacing for a given plane in a tetragonal system. This interplanar spacing is necessary for Bragg's Law and X-ray Diffraction (XRD) calculations in materials science.
From playlist MSE example problems tutorial
Bond percolation on a square lattice. Each edge of the lattice is open with probability p, independently of all others. p is varied from 0 to 1. For more details on the simulations, see http://www.univ-orleans.fr/mapmo/membres/berglund/ressim.html
From playlist Percolation
How to Define Sets Using Set Builder Notation , Intermediate Algebra , Lesson 30
In this example, I take graphs of sets, and show how to translate the graphs into sets using set builder notation, unions, and intersections. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)
From playlist Intermediate Algebra
Mod-01 Lec-5ex Diffraction Methods For Crystal Structures - Worked Examples
Condensed Matter Physics by Prof. G. Rangarajan, Department of Physics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist NPTEL: Condensed Matter Physics - CosmoLearning.com Physics Course
Hugo Duminil-Copin - 2/4 The Self-Avoiding Walk Model
The course will focus on rigorous results for the self-avoiding walk model on lattices, with a special emphasis on low-dimensional ones. The model is defined by choosing uniformly at random among random walk paths starting from the origin and without self-intersections. Despite its simple
From playlist Hugo Duminil-Copin - The Self-Avoiding Walk Model
Hugo Duminil-Copin - 1/4 The Self-Avoiding Walk Model
The course will focus on rigorous results for the self-avoiding walk model on lattices, with a special emphasis on low-dimensional ones. The model is defined by choosing uniformly at random among random walk paths starting from the origin and without self-intersections. Despite its simple
From playlist Hugo Duminil-Copin - The Self-Avoiding Walk Model
(New Version Available) Compound Inequalities
New version: https://youtu.be/U20Dp4lPVoo http://mathispower4u.wordpress.com/
From playlist Linear and Absolute Value Inequalities
Two-dimensional Self Avoiding Walks - Mireille Bousquet-Melou (2014)
Slides for this talk: https://docs.google.com/viewer?url=http://www.msri.org/workshops/616/schedules/14374/documents/1552/assets/17052 Abstract: Exactly solvable classes of self-avoiding walks Mireille Bousquet-Mélou Université Bordeaux 1 A walk on a lattice is self-avoiding if it never
From playlist Mathematics
Hugo Duminil-Copin - 3/4 The Self-Avoiding Walk Model
The course will focus on rigorous results for the self-avoiding walk model on lattices, with a special emphasis on low-dimensional ones. The model is defined by choosing uniformly at random among random walk paths starting from the origin and without self-intersections. Despite its simple
From playlist Hugo Duminil-Copin - The Self-Avoiding Walk Model
From classical elasticity to topological mechanics (Lecture - 04) by Tom Lubensky
Infosys-ICTS Chandrasekhar Lectures Metamaterials and Topological Mechanics Speaker: Tom Lubensky (University of Pennsylvania, Pennsylvania) Date: 24 June 2019, 16:00 to 18:00 Venue: Ramanujan lecture hall, ICTS campus Lecture 1 : Metamaterials and Topological Mechanics Date & Time
From playlist Infosys-ICTS Chandrasekhar Lectures
The KPZ Universality Class and Equation - Ivan Corwin
The KPZ Universality Class and Equation Ivan Corwin Courant Institute of Mathematics, New York University February 11, 2011 ANALYSIS/MATHEMATICAL PHYSICS SEMINAR The Gaussian central limit theorem says that for a wide class of stochastic systems, the bell curve (Gaussian distribution) des
From playlist Mathematics
25. Introduction to Glassy Solids (Intro to Solid-State Chemistry)
MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018 Instructor: Jeffrey C. Grossman View the complete course: https://ocw.mit.edu/3-091F18 Course Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63z5HAguqleEbsICfHgDPaG Highlights Playlist: https://www.youtube.com/playlist?
From playlist MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018
Hugo Duminil-Copin - Introduction to parafermionic observables
In the early eighties, the physicists Belavin, Polyakov and Zamolodchikov postulated the conformal invariance of critical planar statistical models. This prediction enabled physicists to use Conformal Field Theory in order to formulate many conjectures on these models. From a mathematical
From playlist 8ème Séminaire Itzykson : "Les observables parafermioniques et la physique statistique en 2D"
A PDE approach to scaling limit of random interface models on Z^d by Rajat Subhra Hazra
PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this program will be on the
From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019
Compound Inequalities including Special Cases
This video explains how to solve compound inequalities. The solutions are expressed as a graph and using interval notation. http://mathispower4u.com
From playlist Solving and Graphing Compound Inequalities
From playlist Exploratory Data Analysis