Linear filters | Network synthesis filters
An elliptic filter (also known as a Cauer filter, named after Wilhelm Cauer, or as a Zolotarev filter, after Yegor Zolotarev) is a signal processing filter with equalized ripple (equiripple) behavior in both the passband and the stopband. The amount of ripple in each band is independently adjustable, and no other filter of equal order can have a faster transition in gain between the passband and the stopband, for the given values of ripple (whether the ripple is equalized or not). Alternatively, one may give up the ability to adjust independently the passband and stopband ripple, and instead design a filter which is maximally insensitive to component variations. As the ripple in the stopband approaches zero, the filter becomes a type I Chebyshev filter. As the ripple in the passband approaches zero, the filter becomes a type II Chebyshev filter and finally, as both ripple values approach zero, the filter becomes a Butterworth filter. The gain of a lowpass elliptic filter as a function of angular frequency ω is given by: where Rn is the nth-order elliptic rational function (sometimes known as a Chebyshev rational function) and is the cutoff frequency is the ripple factor is the selectivity factor The value of the ripple factor specifies the passband ripple, while the combination of the ripple factor and the selectivity factor specify the stopband ripple. (Wikipedia).
From playlist filter (less comfortable)
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
Why Use Kalman Filters? | Understanding Kalman Filters, Part 1
Download our Kalman Filter Virtual Lab to practice linear and extended Kalman filter design of a pendulum system with interactive exercises and animations in MATLAB and Simulink: https://bit.ly/3g5AwyS Discover common uses of Kalman filters by walking through some examples. A Kalman filte
From playlist Understanding Kalman Filters
Continuous-Time Chebyshev and Elliptic Filters
http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. An introduction to the characteristics and definition of analog Chebyshev types I and II and elliptic filters.
From playlist Infinite Impulse Response Filter Design
I discuss causal and non-causal noise filters: the moving average filter and the exponentially weighted moving average. I show how to do this filtering in Excel and Python
From playlist Discrete
reaLD 3D glasses filter with a linear polarising filter
This is for a post on my blog: http://blog.stevemould.com
From playlist Everything in chronological order
Special Topics - The Kalman Filter (1 of 55) What is a Kalman Filter?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is Kalman filter and how is it used. Next video in this series can be seen at: https://youtu.be/tk3OJjKTDnQ
From playlist SPECIAL TOPICS 1 - THE KALMAN FILTER
http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. IIR filter design examples using MATLAB.
From playlist Infinite Impulse Response Filter Design
A System for Analog Filter Design, Realization, and Verification Using Mathematica and SystemModeler
Analog filters are an essential part of modern electronics; however, their design, realization and verification can be arduous and time consuming. This paper describes a Mathematica and SystemModeler platform for automated, fast analog filter design and simulation. The platform consists of
From playlist Wolfram Technology Conference 2013
Richard Hain - 3/4 Universal mixed elliptic motives
Prof. Richard HAIN (Duke University, Durham, USA) Universal mixed elliptic motives are certain local systems over a modular curve that are endowed with additional structure, such as that of a variation of mixed Hodge structure. They form a tannakian category. The coordinate ring of its fu
From playlist Richard Hain - Universal mixed elliptic motives
C07 Homogeneous linear differential equations with constant coefficients
An explanation of the method that will be used to solve for higher-order, linear, homogeneous ODE's with constant coefficients. Using the auxiliary equation and its roots.
From playlist Differential Equations
Finding the MMSE Filter Optimum Weights
The math of solving the MMSE problem to find the optimal weights. A linear algebra formulation is used to rewrite the mean-squared error as a perfect square, which allows the MMSE weights to be identified by inspection without defining gradients and. This is the matrix equivalent of the
From playlist MMSE Filtering
http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Overview of IIR filter design using analog prototype filters following the approach used by MATLAB: use of continuous-time frequency transformations
From playlist Infinite Impulse Response Filter Design
Benchmarking Frame-Based Models Using Feedback in Simulink
Learn how to benchmark different implementations of a frame-based 8th-order elliptic low-pass filter. Observe how small details in the implementation can greatly impact simulation speed. Watch the full series: https://youtube.com/playlist?list=PLn8PRpmsu08pS-Cq3Hl9T3jwLmOOQzEOp Start by
From playlist Using Frames in Simulink
p-adic approaches to rational points on curves - Poonen - Lecture 4/4 - CEB T2 2019
Bjorn Poonen (Massachusetts Institute of Technology) / 10.07.2019 p-adic approaches to rational points on curves - Lecture 4/4 In these four lectures, I will describe Chabauty's p-adic method for determining the rational points on a curve whose Jacobian has rank less than the genus, hint
From playlist 2019 - T2 - Reinventing rational points
Virtual Star Party - December 1, 2013 - Dying Comets, Smashing Galaxies and Cosmic Bees
Hosts: Fraser Cain and Scott Lewis Astronomers: Gary Gonella, Roy Salisbury, Steven Coates, Tom Nathe, Stuart Foreman Topics: Andromeda Galaxy, Venus and Altair, simulations of smashing spiral galaxies, Comet ISON's current fluffy state after passing the sun thanks to Phil Plait, Pac-Man
From playlist Virtual Star Party
Generalized Radon transforms in tomography
Advanced Instructional School on Theoretical and Numerical Aspects of Inverse Problems URL: https://www.icts.res.in/program/IP2014 Dates: Monday 16 Jun, 2014 - Saturday 28 Jun, 2014 Description In Inverse Problems the goal is to determine the properties of the interior of an object from
From playlist Advanced Instructional School on Theoretical and Numerical Aspects of Inverse Problems
Katherine Stange: A visual tour of Fibonacci numbers and their eccentric cousins, elliptic divisibility sequences: 19th International Fibonacci Conference.
From playlist My Math Talks
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