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The fractiona lFourier transform (FRFT) is a potent tool to analyze the chirp signal. However,it failsin locating the fractional Fourier domain (FRFD)-frequency contents which is requiredin some applications. The short-time fractional Fourier
transform (STFRFT) is proposed to solve this problem
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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.
What is the need for fourier transform in analog signal processing?
The fourier transform is used in analog signal processing in order to convert from time domain to frequency domain and back. By doing this, it is easier to implement filters, shifters, compression, etc.
Is there away to sort an array of data using the fast Fourier transform and finding the highest lower or average value finding his value or even best his position?
The Fast Fourier Transform is an implementation of the Discrete Fourier Transform. The DFT is a method of processing a time-sampled signal (eg, an audio wave) into a series of sines and cosines. As such, it is not a sorting algorithm, so this question does not make any sense.
For what purpose you use fourier transform in real life?
we use fourier transform to convert our signal form time domain to frequency domain. This tells us how much a certain frequency is involve in our signal. It also gives us many information that we cannot get from time domain. And we can easily compare signals in frequency domain.
Why a signal that is band limited is not time-limited while a signal that is time-limited is not band limited Improve Answer Discuss the question Can a signal be time-limited and band-limited at th?
A band-limited signal is one in which the Fourier transform is zero above a certain frequency. In other words it's a signal that ahas a finite frequency content. The simplest case is a pure sinusoidal signal, whose Fourier transform consists of a delta function centred on the frequency of the signal. A band-limited signal can be reconstructed exactly if it is sampled at at more than twice the maximum frequency present in the signal. A time-limited signal is a signal that is zero above a finite. An example of this would be a short pulse. The reason a signal cannot be both band-limited or time-limited is due to their relationship via the Fourier transform. One can show it is impossible for the Fourier transform of a signal with compact support ie either time or band-limited, to also have compact support. A time-limited signal must have a continuous frequency spectrum existing over all possible frequencies and a band-limited signal can only arise from signal existing for all time. Note this indicates in reality it is impossible to have a truly band-limited signal as it would take infinite time to transmit, but it is nonetheless a useful concept and we can produce nearly band-limited signal to a high degree of accuracy.
