Difference between the DTFT and DFT [duplicate]

1. What is the difference between DTFT and DFT?
2. What is the relationship between DTFT and DFT?
3. Which is better DFT and DTFT?
4. What are the differences and similarities between DIF and DIT algorithms?

What is 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 relationship between DTFT and DFT?

The DFT differs from the discrete-time Fourier transform (DTFT) in that its input and output sequences are both finite; it is therefore said to be the Fourier analysis of finite-domain (or periodic) discrete-time functions.

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

What are the differences and similarities between DIF and DIT algorithms?

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.