CALCULATORS ON-LINE CENTER ELECTRICAL ENGINEERING & COMPUTER ENGINEERING: F-H

Fault Tolerant Computing

FAULT TOLERANT COMPUTING COURSES, LECTURES, CALCULATORS, APPLETS, ETC.


FAULT TOLERANT COMPUTING SIMULATOR (JAVA APPLETS) – I. Koren,
Department of Electrical and Computer Engineering,
College of Engineering,
University of Massachusetts
VERY VERY VERY…EXTENSIVE.

Examples of “Fault Tolerant Computing” Subject Categories include

“…Error Detection and Correction Codes;

Fault Detection in Encryption Algorithms;

Reliability Evaluation;

Networks; etc…”

For more information see

Israel Koren’s Home Page or the

Department of Electrical and Computer Engineering

Examples from over “27” Fault Tolerant Computing Calculators & Applets include


The Cyclic Code Simulator: Cyclic Encoder/Decoder


Systematic and Standard Cyclic Codes


Arithmetic Encoder/Decoder Applet


Advanced Encryption Algorithm – Detection: Fault Detection in AES Encoder and Decoder Applet


4-state Markov Chain Solver Calculator


Calculation of Terminal Reliability for Two Nodes in a Network Applet


Checkpointing Calculators

Checkpointing Calculators include

Uniprocessor Checkpointing for Multiple Instructions Calculator;

Domino Effect Animation for Distributed Checkpointing Calculator.

Filter Design

FILTER LECTURES, LESSONS, ETC.

FILTER DESIGN COURSES, LECTURES, TECHNICAL REPORTS, ETC.

FILTER DESIGN CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS

BUTTERWORTH FILTER DESIGN CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS


HIGHER ORDER ANALOG BUTTERWORTH FILTER DESIGN CALCULATORS – ApICS LLC
VERY VERY EXTENSIVE.

Higher Order Analog Butterworth Filter Design Calculators include:

“…First Order (6db/octave) Two-Way Crossover Calculator;

Second Order (12db/octave) Two-Way Crossover Calculator;

Third Order (18db/octave) Two-Way Crossover Calculator;

Fourth order (24dB/octave) Two-Way Crossover Calculator;

Zobel Circuit (Impedance Stabilization) Calculator…”

For more information see

ApICS LLC

Fourier

FOURIER ANALYSIS COURSES, LECTURES, TEXTBOOKS, MANUALS, ETC.


THE FOURIER TRANSFORM AND ITS APPLICATIONS – B.G. Osgood,
Department of Electrical Engineering;
Engineering Courses Online: Stanford Engineering Everywhere (SEE),
School of Engineering,
Stanford University
Multimedia The Fourier Transform and Its Applications Course (Text, Images, Videos/Movies & Audio/Sound).
VERY VERY VERY…EXTENSIVE.

Examples from over “29” “The Fourier Transform and Its Applications” Video Course Lectures include

Lecture 2
“…Periodicity; How Sine And Cosine Can Be Used To Model More Complex Functions, Example Of Periodizing A Signal, Discussion Of How To Model Signals With Sinusoids, “One Period, Many Frequencies” Idea In Modeling Signals, Modeling A Signal A,…”

Lecture 6

“…Setup For Fourier Transform Derivation From Fourier Series, Results Of The Derivation: Fourier Transform And Inverse Fourier Transform, Definition Of The Fourier Transform (Analysis), Definition Of Fourier Inversion (Synthesis),…”

Lecture 12

“…Cop Story, Review Of Rapidly Decreasing Functions, Generalized Functions (Distributions) (Delta Function, Etc.), Viewing Delta As A Limit V. Operationally,…”

Lecture 15

“…Application Of The Fourier Transform: Diffraction: Setup, Representation Of Electric Field, Approach Using Huyghens’ Principle, Discussion Of The Phase Change Associated With Different Paths,…”

Lecture: 22

“…FFT Algorithm: Setup: DFT Matrix Notation, One Intuition Behind FFT: Factoring Matrix, Our Approach: Split Order N Into Two Order N/2, Iterate, Notation (To Keep Track Of Powers Of Complex Exponentials),…” etc.

For more information see

Courses;

Stanford Engineering Everywhere (SEE);

Brad Osgood’s Home Page;

Department of Electrical Engineering or the

School of Engineering


FOURIER AND COMPLEX ANALYSIS – R.L. Herman,
Department of Mathematics and Statistics,
College of Arts & Sciences,
University of North Carolina,
Wilmington, North Carolina
Multimedia Fourier and Complex Analysis Course (Text & Images).
VERY VERY VERY…EXTENSIVE.

“An Introduction to Fourier and Complex Analysis with Applications to the Spectral Analysis of Signals”

“…This is an introduction to topics in Fourier analysis and
complex analysis. It is a course aimed at students majoring in
mathematics and science who are at least at their junior level
of mathematical maturity. Students are introduced
to Fourier series, Fourier transforms, and a basic complex analysis…”

Examples of “An Introduction to Fourier and Complex Analysis with Applications to the Spectral Analysis of Signals” Course Lectures include

“…Sequences and Series;

Fourier Series;

Generalized Fourier Series;

Complex Integration;

Discrete Transforms;

Signal Analysis; etc…”

For more information see

Lectures;

Russell L. Herman’s Home Page or the

Department of Mathematics and Statistics


FOURIER ANALYSIS 1 – Christoph Thiele,
Department of Mathematics,
University of California, Los Angeles (UCLA)
Multimedia Fourier Analysis 1 Lecture, PDF, 48 Pages (Text & Images).
VERY VERY VERY…EXTENSIVE.

Examples of “Fourier Analysis 1” Lectures include

“…Schwartz Functions;

The Space S(Rⁿ) as Frechet Space;

The Fourier Transform;

Tempered Distributions;

Intermediate Banach Spaces, Regularity;

The Poisson Summation Formula;

Paley Wiener Theroems;

Distributions versus Tempered Distributions; etc…”

For more information see

Lectures;

Christoph Thiele’s Home Page or the

Department of Mathematics


FOURIER ANALYSIS 2 – CLASSICAL FOURIER ANALYSIS – Christoph Thiele,
Department of Mathematics,
University of California, Los Angeles (UCLA)
Multimedia Fourier Analysis 2 Lecture, PDF, 51 Pages (Text & Images).
VERY VERY VERY…EXTENSIVE.

Examples of “Fourier Analysis 2 – Classical Fourier Analysis” Lectures include

“…The Haar Basis;

The Calderon Zygmund Decomposition;

The Littlewood Paley Square Function;

Khintchine’s Inequality;

The Space BMO as Function Space;

Maximal Truncated Singular Integrals;

Paraproducts and a Discrete T1 Theorem;

The Cotlar-Stein Lemma; etc…”

For more information see

Lectures;

Christoph Thiele’s Home Page or the

Department of Mathematics


FOURIER ANALYSIS: THEORY & APPLICATIONS – D. Jerison,
Department of Mathematics & the
MIT OpenCourseWare, MIT
Multimedia Fourier Analysis: Theory and Applications Course (Text & Images).
VERY VERY VERY…EXTENSIVE.

Fourier Analysis: Theory and Applications

“…Roughly half of the subject is devoted to the theory of the
Lebesgue integral with applications to probability, and
half to Fourier series and Fourier integrals…”

Examples of “Fourier Analysis: Theory and Applications” Course Lectures include

“…Boolean Rings;

Lp Theory;

Hilbert Space and Orthonormal Bases;


Fourier Series;

Fourier Integrals;


Fourier Integrals, Measures, and Central Limit Theorem; etc…”

For more information see

David Jerison’s Home Page;

Department of Mathematics;

Mathematics Courses or the

MIT OpenCourseWare


HIGHER ORDER FOURIER ANALYSIS (254B) – T. Tao,
Analysis Group,
Department of Mathematics,
Division of Physical Sciences,
College of Letters and Science,
UCLA
Multimedia Higher Order Fourier Analysis Graduate Course – PDF, 221 Pages (Text & Images).
VERY VERY VERY…EXTENSIVE.

Examples of “Higher Order Fourier Analysis” Graduate Course Chapters & Subchapters include

Chapter I: Higher Order Fourier Analysis
“…Equidistribution of polynomial sequences in tori;

Roth’s theorem;

Equidistribution of polynomials over finite fields;

The inverse conjecture for the Gowers norm I. The finite field case;

The inverse conjecture for the Gowers norm II;

The integer case Linear equations in primes; etc…”

Chapter II: Related Articles

“…Ultralimit analysis and quantitative algebraic geometry;

Higher order Hilber spaces; etc…”

For more information see

Higher Order Fourier Analysis;

254B;

Terence Tao’s Home Page;

Analysis Group or the

Department of Mathematics


HARMONIC ANALYSIS – W. Schlag,
Department of Mathematics,
Division of Physical Sciences,
University of Chicago
Multimedia Harmonic Analysis Textbook – PDF, 93 Pages (Text & Images).
VERY VERY VERY…EXTENSIVE.

Examples of “Harmonic Analysis” Textbook Chapters include

“…Fourier Series: Convergence and Summability;

Harmonic Functions on the Disk and Poisson Kernel;

L¹ bounded analytic functions and the F. & M. Riesz theorem;

The Conjugate Harmonic Function;

Calderon-Zygmund Theory of Singular Integrals;

Almost Orthogonality; Schauder Estimates;

L^P -multipliers, Mikhlin theorem and Littlewood-Paley theory;

Restriction of the Fourier transform, Stein-Tomas theorem, Strichartz estimates;

The endpoint for the Stein-Tomas theorem and Strichartz estimates;

Some pointwise questions for Fourier series: the case of L¹ (T); etc…”

For more information see the

Wilhelm Schlag’s Home Page or the

Department of Mathematics

FOURIER TRANSFORM CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS

FOURIER CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS

FOURIER TRANSFORMS CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS

FFT ALGORITHM CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS


FAST FOURIER TRANSFORM (FFT) FOR POLYNOMIAL MULTIPLICATION (JAVA APPLET) – Author: J. Beaver &
Hosted by K. Pruhs, Department of Computer Science, University of Pittsburgh
VERY VERY EXTENSIVE.

Fast Fourier Transform for Polynomial Multiplication Calculator

“…includes a description of the algorithm, a description of the Roots of Unity,
a step feature which allows the user to see what is going on in the algorithm,
and a multimedia section…”

For more information see

Applets;

Applet Demonstration;

CS 1501;

Kirk Pruhs’s Home Page or the

Department of Computer Science


FAST FOURIER TRANSFORM CALCULATOR – J. Clymer, Cincinnati, Ohio
VERY EXTENSIVE.

Fast Fourier Transform (FFT) Calculator

“…performs Fourier Transforms, and DHTML to produce graphs of functions…”

For more information see

Jeffrery Clymer’s Home Page


FOURIER (JAVA APPLET) – R. E. Williamson & S. Schwarz,
Dartmouth University
VERY EXTENSIVE.

Fourier Calculator

“…Computes Fourier coefficients of a function,and plots the function and the
Fourier approximation of degree at most 20…”

For more information see

Interactive Math Programs or the

Department of Mathematics


FOURIER TRANSFORMS (FT) OF A GIVEN POINTSET (JAVA APPLET) – S. Weber
VERY EXTENSIVE.

Fourier Transform on Periodic Point Sets Calculator

“…calculates Fourier transforms (FT) of a given pointset.
The pointset is generated by the plane space groups (see Project 22). You may transform all points…”

For more information see

Java Applets;

Steffen Weber’s Home Page or

JCrystal


FOURIER TRANSFORMS (FT) OF QUASIPERDIODIC POINT SETS (JAVA APPLET) – S. Weber
VERY EXTENSIVE.
For more information see

Java Applets;

Steffen Weber’s Home Page or

JCrystal

DISCRETE FOURIER TRANSFORM CALCULATORS & APPLETS


DISCRETE FOURIER TRANSFORM: FFT OF “BIT PATTERN” APPLET
& FFT OF ARBITRARY FUNCTION APLET – Bert G. Wachsmuth,
Department of Mathematics and Computer Science,
Seton Hall University
VERY VERY EXTENSIVE.


Fast Fourier Transform of “Bit Pattern” Calculator

“…illustrates what happens when trying to
send bits representing a character (coded as the 8-bit ASCI code)
though a wire that includes a “low-pass” filter, i.e. frequencies
above a certain point are filtered out…”

Fast Fourier Transform of Arbitrary Function Calculator

“…lets you enter an arbitrary function and decompose it into its Fourier coefficients…”

For more information see

MathCS or the

Department of Mathematics and Computer Science

FOURIER-LAPLACE CALCULATORS & APPLETS


FOURIER-LAPLACE CALCULATOR – Xiao Gang, Laboratoire J.-A. Dieudonné,
Université de Nice, Nice, France
VERY EXTENSIVE.

Fourier Laplace Calculator

“…computes the Fourier transform or
Laplace transform of a function, and their inverse transforms…”

For more information see

WIMS

FOURIER TRANSFORM CALCULATORS & APPLETS – IMAGE PROCESSING


INTERACTIVE FOURIER TRANSFORM EXPERIMENTATION – IMAGE PROCESSING (JAVA APPLET) – R. Fisher, S. Perkins,
A. Walker and E. Wolfart,
School of Informatics,
University of Edinburgh, Edinburgh, Scotland, U.K.
VERY VERY EXTENSIVE.
For more information see

Interactive Experimentation;

HIPR2: Hypertext Image Processing Reference;

Robert Fisher’s Home Page or the

School of Informatics

FOURIER SERIES CALCULATORS & APPLETS


FOURIER SERIES (JAVA APPLET) – F. Embacher & P. Oberhuemer,
Universität Wien, Austria

Fourier Series Calculator:

“…the user may choose the first 21 coefficients of
a Fourier series by means of scroll bars and to look at the graph of
the resulting function…”

For more information see

Applets or

Maths Online


FOURIER SERIES APPROXIMATION (JAVA APPLET) – Project Director: W.J. Rugh,
Department of Electrical and Computer Engineering,
Whiting School of Engineering,
Johns Hopkins University

Fourier Series Calculator allows you to

“…explore the Fourier series approximation, select
a labeled signal, use the mouse to sketch one period of a signal,
or use the mouse to modify a selected signal. Specify the number
of harmonics, N, and…”

For more information see the

Signals, Systems & Controls or the

Department of Electrical and Computer Engineering


FOURIER SERIES CALCULATION FOR TYPICAL DIGITAL WAVEFORMS – EE Circle
VERY EXTENSIVE.

Fourier Series Calculator for Typical Digital Clock Waveforms

“…Computes complex Fourier series coefficients (harmonics) of
rectangular, triangular or trapezoidal shaped waveform &
Plots both the time-domain waveform and the magnitude
of the coefficients…”

For more information see

EE Applets or

EE Circle


FOURIER SERIES SIMULATION (JAVA APPLET) – P. Falstad
VERY EXTENSIVE.

Fourier Series Calculator

“…is a method of expressing an arbitrary periodic function as a
sum of cosine terms. In other words, Fourier series can
be used to express a function in terms of the frequencies…”

For more information see

Math, Physics & Engineering Applets or

Paul Falstad’s Home Page

FOURIER SYNTHESIS CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS


FOURIER SYNTHESIS (JAVA APPLET) – M. Thole, Institut für Netzwerktheorie
und Schaltungstechnik, Braunschweig, Bundesrepublik Deutschland (Germany)
VERY EXTENSIVE.

Fourier Synthesis Calculator

“…A periodic signal can be described by a Fourier decomposition as a
Fourier series, i. e. as a sum of sinusoidal and cosinusoidal
oscillations…”

For more information see

Schaukasten


FOURIERSYNTHESE (JAVA APPLET) – M. Thole, Institut für Netzwerktheorie
und Schaltungstechnik, Braunschweig, Bundesrepublik Deutschland (Germany)
VERY EXTENSIVE.

Fourier Synthesis Calculator

“…Ein periodisches Signal kann durch eine
Fourierzerlegung mathematisch…”

For more information see

Schaukasten

Harmonics

HARMONIC ANALYSIS COURSES, LECTURES, TEXTBOOKS, ETC.


HARMONIC ANALYSIS – W. Schlag,
Department of Mathematics,
Division of Physical Sciences,
University of Chicago
Multimedia Harmonic Analysis Textbook – PDF, 93 Pages (Text & Images).
VERY VERY VERY…EXTENSIVE.

Examples of “Harmonic Analysis” Textbook Chapters include

“…Fourier Series: Convergence and Summability;

Harmonic Functions on the Disk and Poisson Kernel;

L¹ bounded analytic functions and the F. & M. Riesz theorem;

The Conjugate Harmonic Function;

Calderon-Zygmund Theory of Singular Integrals;

Almost Orthogonality; Schauder Estimates;

L^P -multipliers, Mikhlin theorem and Littlewood-Paley theory;

Restriction of the Fourier transform, Stein-Tomas theorem, Strichartz estimates;

The endpoint for the Stein-Tomas theorem and Strichartz estimates;

Some pointwise questions for Fourier series: the case of L¹ (T); etc…”

For more information see the

Wilhelm Schlag’s Home Page or the

Department of Mathematics

HARMONICS CALCULATORS, APPLETS, ANIMATIONS, SIMULATIONS, SPREADSHEETS (XLS), ETC.


HARMONIC CALCULATORS (SPREADSHEETS OPEN ONLINE WITH EXCEL, iWORK-NUMBERS,
IBM LOTUS SYMPHONY, NEOOFFICE, OPENOFFICE CALC, ETC.) – Allen-Bradley,
a Division of Rockwell Automation
VERY EXTENSIVE.

Click on “Harmonics Calculator”

Harmonic Calculators – Spreadsheets

“…provides a tool for determining how much voltage and
current distortion might exist on your distribution system
when operating non linear loads. This program is not
intended to determine harmonic distortion with single phase loads…”

Harmonic Calculators – Spreadsheets include

“…Basic Harmonic Estimator;

Advanced Harmonic Estimator…”

For more information see

Reliance Electric Drives or

Rockwell Automation


HARMONICS CALCULATOR – Microvolt Labs, Inc.

Harmonics Calculator

“…can be used to calculate, 1st through 15th harmonic
of any fundamental frequency…”

For more information see the

Microvolt Labs, Inc.

AM TRANSMITER HARMONICS CALCULATORS & APPLETS


ONLINE AM TRANSMITER HARMONICS CALCULATOR – A.D. Kass

AM Transmiter Harmonics Calculator INPUT Values include:

“…Call Letters; Fundamental Frequency of Transmitter…”

For more information see

Online Broadcast Engineering Related Calculators or

Allen’s Engineering Home Page

Heat Conduction & Transfer