###### Asked in Math and Arithmetic

Math and Arithmetic

# Application of fourier transform?

## Answer

###### Wiki User

###### November 26, 2012 3:56PM

the main application of fourier transform is the changing a function from frequency domain to time domain, laplaxe transform is the general form of fourier transform .

## Related Questions

###### Asked in Math and Arithmetic, Electronics Engineering, Mathematical Finance, Mathematical Analysis, Mathematicians

### What is relation between laplace transform and fourier transform?

The Laplace transform is related to the Fourier transform, but
whereas the Fourier transform expresses a function or signal as a
series of modes ofvibration (frequencies), the Laplace transform
resolves a function into its moments. Like the Fourier transform,
the Laplace transform is used for solving differential and integral
equations.

###### Asked in Science, Mathematical Analysis, Mathematicians

### What is the difference between the fourier laplace transform?

They are similar. In many problems, both methods can be used.
You can view Fourier transform is the Laplace transform on the
circle, that is |z|=1. When you do Fourier transform, you don't
need to worry about the convergence region. However, you need to
find the convergence region for each Laplace transform.
The discrete version of Fourier transform is discrete Fourier
transform, and the discrete version of Laplace transform is
Z-transform.

###### Asked in Math and Arithmetic, Electronics Engineering, Mathematical Finance, Mathematical Analysis

### What is the difference between Fourier transform and Laplace transform and z transform?

Fourier transform and Laplace transform are similar. Laplace
transforms map a function to a new function on the complex plane,
while Fourier maps a function to a new function on the real line.
You can view Fourier as the Laplace transform on the circle, that
is |z|=1.
z transform is the discrete version of Laplace transform.

###### Asked in Educators, Mathematical Analysis

### What is the difference between fourier series and fourier transform with real life example please?

A Fourier series is a set of harmonics at frequencies f, 2f, 3f
etc. that represents a repetitive function of time that has a
period of 1/f.
A Fourier transform is a continuous linear function. The
spectrum of a signal is the Fourier transform of its waveform. The
waveform and spectrum are a Fourier transform pair.

###### Asked in Computer Networking, Electronics Engineering, Electrical Engineering

### How can a signal be decomposed into its individual frequencies?

Spectral analysis of a repetitive waveform into a harmonic
series can be done by Fourier analyis.
This idea is generalised in the Fourier transform which converts
any function of time expressed as a into a transform function of
frequency. The time function is generally real while the transform
function, also known as a the spectrum, is generally complex.
A function and its Fourier transform are known as a Fourier
transform pair, and the original function is the inverse transform
of the spectrum.

###### Asked in Math and Arithmetic, Electronics Engineering, Mathematical Finance, Mathematical Analysis

### Difference between fourier series fourier transform discrete time fourier transform and DFT?

A Fourier series is a series of sine and cosine harmonics of a
particular frequency.
For example sinf+icosf + 3 sin2f+ 5icos2f... where the
successive terms are multiples of the fundamental frequency f. It
is typical ( but as far as I know not required) that complex
numbers are used.
A Fourier transform converts a time domain wave form (like a
sound wave) into the coefficients of the corresponding Fourier
series.
A DFT is a digital approximation to a Fourier transform, usually
using something like the Cooley-Tuckey Fast Fourier Transform (FFT)
for efficiency.
The underlying Fourier theorem is something like: Every bounded
periodic continuous (needed to avoid Gibbs) function , or wave
form, can be written as the sum of its Fourier series. i.e. It is a
sum of sines and cosines
In otherwords, you take a wave form in the time domain like a
sound wave and break it into its components (various frequencies)
by the Fourier Transform. The results of the Transform are the
coefficients of the Fourier series. The wave form of a voice
converted to components (and perhaps a little more) is a
voiceprint.

Load More