Decimation in frequency

In DIF N Point DFT is splitted into N/2 points DFT s. X(k) is splitted with k even and k odd this is called Decimation in frequency(DIF FFT). In DIF N Point DFT is splitted into N/2 points DFT s. X(k) is splitted with k even and k odd this is called Decimation in frequency(DIF FFT).

1. What is the difference between decimation in time and decimation in frequency?
2. What is decimation in time FFT?
3. What are the differences between DIT and DIF algorithm?
4. What is radix 4 FFT?

What is the difference between decimation in time and decimation in frequency?

DITFFT stands for Decimation in Time Fast Fourier Transform and DIFFFT stands for Decimation in Frequency Fast Fourier Transform. In DITFFT, input is bit reversed while the output is in natural order, whereas in DIFFFT, input is in natural order while the output is in bit reversal order.

What is decimation in time FFT?

The splitting into sums over even and odd time indexes is called decimation in time. ( For decimation in frequency, the inverse DFT of the spectrum is split into sums over even and odd bin numbers .)

What are the differences between DIT and DIF algorithm?

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.

What is radix 4 FFT?

Radix-4 FFT Algorithm

A stage is half of radix-2. The radix-4 DIF FFT divides an N-point discrete Fourier transform (DFT) into four N 4 -point DFTs, then into 16 N 16 -point DFTs, and so on. In the radix-2 DIF FFT, the DFT equation is expressed as the sum of two calculations.