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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.

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Q: What is the need for fourier transform in analog signal processing?
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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.


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.


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 are disadvantages of z transform?

1.z transform can not aaply in continious signal. 2.z transform can not analyse analog filter


What is a fast Fourier transform?

A fast Fourier transform is an efficient algorithm for working out the discrete Fourier transform - which itself is a Fourier transform on 'discrete' data, such as might be held on a computer. Contrast this to a 'continuous Fourier transform' on, say, a curve. One would need an infinite amount of data points to truly represent a curve, something that cannot be done with a computer.Check out: The Scientist And Engineer's Guide To Digital Signal Processing. It is a free, downloadable book that deals, inter alia, with Fourier transforms; chapters 8-12are germane to your question. This is a highly practical, roll-yer-sleeves-up book for, as the title says, scientists and engineers, but Smith describes the underlying theory well. The sample code supplied with the book is in BASIC and FORTRAN, of all things; the author does this for didactic purposes to make the examples easy to understand rather than efficient.

Related questions

What has the author Albert A Gerlach written?

Albert A. Gerlach has written: 'Role of the sectionalized Fourier transform in high-speed coherence processing' -- subject(s): Digital techniques, Fourier transform spectroscopy, Signal processing 'Theory and applications of statistical wave-period processing' -- subject(s): Radar, Random noise theory, Signal theory (Telecommunication), Sonar


What is the best signal processing either a analog signal processing?

Digital signal processing is the best compared to analog signal. It is because the digital signal is moreefficienterror freeimmune to noisethan an analog signal


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.


Difference between the DFT and the FFt?

A Discrete Fourier Transform is simply the name given to the Fourier Transform when it is applied to digital (discrete) rather than an analog (continuous) signal. An FFT (Fast Fourier Transform) is a faster version of the DFT that can be applied when the number of samples in the signal is a power of two. An FFT computation takes approximately N * log2(N) operations, whereas a DFT takes approximately N^2 operations, so the FFT is significantly faster simple answer is FFT = Fast DFT


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

Fourier analysis Frequency-domain graphs


What are basic elements of digital signal processing?

The basic elements in digital signal processing are an analog to digital converter, digital signal processor, and digital to analog converter. This process can take an analog input signal, convert it to digital for processing and offer an analog output.


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.


Why you use sloven's f?

The "sloven's f" is a mathematical symbol used to represent the Fourier transform of a function in signal processing and mathematics. It helps to analyze the frequency components of a given signal or function.


How can a composite signal be decomposed?

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.


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.


Difference between fourier transform and z-transform?

The Fourier transform is used to analyze signals in the frequency domain, transforming a signal from the time domain to the frequency domain. The z-transform is used in the analysis of discrete-time systems and signals, transforming sequences in the z-domain. While the Fourier transform is typically applied to continuous signals, the z-transform is used with discrete signals represented as sequences.


Difference between analog and digital signal processing?

we can do analog signal processing also but it is very expensive as comparing with digital signal processing that's why we generally choose the digital signal processing.DSP allows programmable operations.But we cannot do in ASP.