FT meaning in Electronics ?

Electronics Miscellaneous in Electronics . 1 month ago

  1.65K   0   0   0   0 tuteeHUB earn credit +10 pts

5 Star Rating 1 Rating
What is Fourier Transform mean?

In mathematics, a Fourier transform (FT) is a mathematical transform that decomposes functions depending on space or time into functions depending on spatial or temporal frequency, such as the expression of a musical chord in terms of the volumes and frequencies of its constituent notes. The term Fourier transform refers to both the frequency domain representation and the mathematical operation that associates the frequency domain representation to a function of space or time.

The Fourier transform of a function of time is a complex-valued function of frequency, whose magnitude (absolute value) represents the amount of that frequency present in the original function, and whose argument is the phase offset of the basic sinusoid in that frequency. The Fourier transform is not limited to functions of time, but the domain of the original function is commonly referred to as the time domain. There is also an inverse Fourier transform that mathematically synthesizes the original function from its frequency domain representation, as proven by the Fourier inversion theorem.

Linear operations performed in one domain (time or frequency) have corresponding operations in the other domain, which are sometimes easier to perform. The operation of differentiation in the time domain corresponds to multiplication by the frequency, so some differential equations are easier to analyze in the frequency domain. Also, convolution in the time domain corresponds to ordinary multiplication in the frequency domain (see Convolution theorem). After performing the desired operations, transformation of the result can be made back to the time domain. Harmonic analysis is the systematic study of the relationship between the frequency and time domains, including the kinds of functions or operations that are "simpler" in one or the other, and has deep connections to many areas of modern mathematics.

Functions that are localized in the time domain have Fourier transforms that are spread out across the frequency domain and vice versa, a phenomenon known as the uncertainty principle. The critical case for this principle is the Gaussian function, of substantial importance in probability theory and statistics as well as in the study of physical phenomena exhibiting normal distribution (e.g., diffusion). The Fourier transform of a Gaussian function is another Gaussian function. Joseph Fourier introduced the transform in his study of heat transfer, where Gaussian functions appear as solutions of the heat equation.

The Fourier transform can be formally defined as an improper Riemann integral, making it an integral transform, although this definition is not suitable for many applications requiring a more sophisticated integration theory. For example, many relatively simple applications use the Dirac delta function, which can be treated formally as if it were a function, but the justification requires a mathematically more sophisticated viewpoint.

The Fourier transform can also be generalized to functions of several variables on Euclidean space, sending a function of 3-dimensional 'position space' to a function of 3-dimensional momentum (or a function of space and time to a function of 4-momentum). This idea makes the spatial Fourier transform very natural in the study of waves, as well as in quantum mechanics, where it is important to be able to represent wave solutions as functions of either position or momentum and sometimes both. In general, functions to which Fourier methods are applicable are complex-valued, and possibly vector-valued. Still further generalization is possible to functions on groups, which, besides the original Fourier transform on R or Rn (viewed as groups under addition), notably includes the discrete-time Fourier transform (DTFT, group = Z), the discrete Fourier transform (DFT, group = Z mod N) and the Fourier series or circular Fourier transform (group = S1, the unit circle ≈ closed finite interval with endpoints identified). The latter is routinely employed to handle periodic functions. The fast Fourier transform (FFT) is an algorithm for computing the DFT.

reference
Full Form Category
The Fellow in Thanatology Academic & Science
Field Trip Academic & Science
Frozen Thorn Academic & Science
For Transistor Academic & Science
foot / feet Academic & Science
Finess Test Academic & Science
Fluctuation Theorem Academic & Science
Fair Trade Accounts and Finance
Final Total Accounts and Finance
Fowl Typhoid Animal Kingdom
Funds Transfer Banking
Franklin Universal Trust Business
France Techno Business
Forward Thinking Business
Fotoapparat Tokareva Business
Full Teflon Business
For Trade Business
France Telecom Business
Fortune Minerals, Limited Business
Flat Tank Business
Full Thickness Business
Free Time Business
Fischertechnik Business
Fierce Teapot Business
From To Business
Flat Top Business
Free Trade Business
Fast Taper Business
Financial Times newspaper Community
Font for Titles Community
Financial Times Community
Floor Tom Community
Fred Tang Community
Francis Thornton Community
Featuring Community
Foundation Trust Community
Fairy Tail Community
Fred Taylor, football player Community
Fixed Terminals Computer and Networking
Fixed radio Terminal Computer and Networking
Fault Tolerant Computer Hardware
Field Trial Computer Hardware
for in Texting Computing
Financial Technology Computing
File Type Computing
Fallen Tower Computing
Fully Trusted Computing
Fourier Transform Electronics
Final Test Electronics
Finite Transducer Electronics
Feed Through Electronics
Flow Transmitter General
Fire Table General
for Terminal General
Fake Tank General
Feather Trace General
Fail in Theory General
Face Tracking General
For the Tensile General
Five Treasure General
Full Trotskyism General
Follow Through General
Family Team General
Fish Tank General
Fundamental Theory General
Fine Toe General
Forint This General
Frame Thickness General
Forint The General
Functional Topping General
French Toast General
First Tracks General
Football Team General
Farm Team General
Featureless Turbulence General
Fat Tuesday General
Furry Terrorist General
Forgotten Time General
Full Truck General
Future Tidus General
Fat Thickness General
Fitting Technique General
For on The General
For Trees General
Free Thinking General
Future Toyota General
Functional Training General
Feng Tay General
Fault Tolerance General
French terms General
For Two General
Firefighting Turbine General
for The General
First Time General
Fine Tuning General
Fairy Tale General
FATbit Technologiesrecent General
First Touch General
Full Test General
Faro To Tip General
Faithful Tea General
Factory Tracker General
Fly Through General
A Fourier Transform General
Freight and these Governmental
Free Tibet Governmental
Future Technology Governmental
Ford Truck Governmental
Fiscal Transparency Governmental
Freight Twenty Governmental
Foreign Talent Governmental
Ford Tuning Governmental
Foreign Tourist Quota Indian Railways
French Tank International
for International International
Facebook Twitter Internet
Fortnite Trainer Internet
FATbit Technologies Internet
Functional Trainer Jobs
Fortune Teller Jobs
Full Time Jobs
Function Type Maths
Fast Transverse Maths
Foot Measurement Unit
False Teeth Medical
Fallopian Tube Medical
Fallot’s tetralogy Medical
Family Therapy Medical
Free Testosterone Medical
Free Thyroxine Medical
Full Term Medical
Function Test Medical
Full Text Messaging
Faint Messaging
Full of Trash Messaging
Favorite Things Messaging
Future Tank Military and Defence
Fox Tango Military and Defence
Fort Military and Defence
First Things News & Entertainment
Fortean Times News & Entertainment
Fighting Talk News & Entertainment
Fermion Term Physics Related
Forint Regional
Functional Testing Softwares
Feet Space Science
Flight Team Space Science
Flight Test Space Science
Formal Training Space Science
Functional Test Space Science
Final Thrust Space Science
Free Throw Sports
First Team Sports
Free Throws Sports
Field Target Sports
Fast Trade Stock Exchange
Fid Technology Technology
Fusion Technology Technology
Face Time Telecommunication
Field Testing Telecommunication

Posted on 04 Nov 2024, this text provides information on Electronics related to Miscellaneous in Electronics. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

Take Quiz To Earn Credits!

Turn Your Knowledge into Earnings.

tuteehub_quiz

Tuteehub forum answer Answers

Post Answer

No matter what stage you're at in your education or career, TuteeHub will help you reach the next level that you're aiming for. Simply,Choose a subject/topic and get started in self-paced practice sessions to improve your knowledge and scores.