Difference between dtft dft and fft

1. What's the difference between DTFT and DFT?
2. What is the main difference between DFT and FFT?
3. What are the differences between discrete time Fourier transform DTFT and discrete Fourier transform DFT )? Explain DFT in detail with the help of examples and diagrams?
4. Which is better DFT or FFT?
5. What is difference between DIT and DIF FFT?
6. Why FFT is better than DFT?

What's the difference between DTFT and DFT?

original sequence spans all the non-zero values of a function, its DTFT is continuous (and periodic), and the DFT provides discrete samples of one cycle. If the original sequence is one cycle of a periodic Page 2 function, the DFT provides all the non-zero values of one DTFT cycle.

What is the main difference between DFT and FFT?

Discrete Fourier Transform (DFT) is the discrete version of the Fourier Transform (FT) that transforms a signal (or discrete sequence) from the time domain representation to its representation in the frequency domain. Whereas, Fast Fourier Transform (FFT) is any efficient algorithm for calculating the DFT.

What are the differences between discrete time Fourier transform DTFT and discrete Fourier transform DFT )? Explain DFT in detail with the help of examples and diagrams?

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. DFT is defined from 0 to N-1; it can have only positive frequencies.

Which is better DFT or FFT?

FFT algorithms are faster ways of doing DFT. It is a family of algorithms and not a single algorithm. How it becomes faster can be explained based on the heart of the algorithm: Divide And Conquer.

What is difference between DIT and DIF FFT?

In DIT algorithm firstly computed multiplier then adder but in DIF firstly computed adder then multiplier. In this paper we study of different types of multiplier i.e. array multiplier; sing multiplier (Baugh Wooley) and complex multiplier. In proposed complex multiplier is consuming three multipliers.

Why FFT is better than DFT?

For a sample set of 1024 values, the FFT is 102.4 times faster than the discrete Fourier transform (DFT). The basis for this remarkable speed advantage is the `bit-reversal' scheme of the Cooley-Tukey algorithm. Eliminating the burden of `degeneracy' by this means is readily understood using vector graphics.