What is the benefit of using Fourier transform?

The main advantage of Fourier analysis is that very little information is lost from the signal during the transformation. The Fourier transform maintains information on amplitude, harmonics, and phase and uses all parts of the waveform to translate the signal into the frequency domain.

What are the application of Fourier transform?

It is used in designing electrical circuits, solving differential equations , signal processing ,signal analysis, image processing & filtering.

Why we use discrete Fourier transform?

The Discrete Fourier Transform (DFT) is of paramount importance in all areas of digital signal processing. It is used to derive a frequency-domain (spectral) representation of the signal.

Why Fourier series is used?

Fourier series is just a means to represent a periodic signal as an infinite sum of sine wave components. A periodic signal is just a signal that repeats its pattern at some period. The primary reason that we use Fourier series is that we can better analyze a signal in another domain rather in the original domain.

Why do we use transformation?

Transforms (Fourier, Laplace) are used in frequency automatic control domain to prove thhings like stability and commandability of the systems. These transformations are mainly adopted to solve differentaial equations under different boundary conditions or you may call limits.

Why do we need DFT although we have DTFT?

DTFT gives a higher number of frequency components. DFT gives a lower number of frequency components. DTFT is defined from minus infinity to plus infinity, so naturally, it contains both positive and negative values of frequencies.

Why it is advantageous to use DFT in computers rather than DTFT?

Since it is impossible to process an infinite number of samples the DTFT is of less importance for actual computational processing; it mainly exists for analytical purposes. The DFT however, with its finite input vector length, is perfectly suitable for processing.

What is the use of a Fourier transform in Communication Engineering?

Fourier Transform converts any signal from time domain to frequency domain.Analysis of deterministic signals is easy in time domain. But, most of the signals in communication engineering are random. So, analysis in time domain is not possible.

Does digital signal processing (DSP) use Fourier transforms?

Digital signal processing (DSP) vs. Analog signal processing (ASP) The theory of Fourier transforms is applicable irrespective of whether the signal is continuous or discrete, as long as it is “nice” and absolutely integrable. So yes, ASP uses Fourier transforms as long as the signals satisfy this criterion.

Does ASP use Fourier transforms for continuous signals?

The theory of Fourier transforms is applicable irrespective of whether the signal is continuous or discrete, as long as it is “nice” and absolutely integrable. So yes, ASP uses Fourier transforms as long as the signals satisfy this criterion.

Why do we use Fourier transform for time domain convolution?

Now Fourier transform helps us to converted time domain signal in frequency domain. Since doing convolution mathematically tough and multiplication is easy hence we apply Fourier transform on input signal and impulse response of signal to know output.