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Q: Why short time Fourier transform is necessary?
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What is short time fourier transform and what are its properties?

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


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.