Decimation frequency domain

1. What is decimation in frequency domain?
2. What is decimation by factor D?
3. What is the difference between decimation and downsampling?
4. What is decimation when it is performed?

What is decimation in frequency domain?

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). N point DFT is given as. Since the sequence x(n) is splitted N/2 point samples, thus.

What is decimation by factor D?

The process of reducing the sampling rate by an integer factor(D) is called decimation of the sampling rate. It is also called down sampling by factor(D). Decimator consists of decimation filter to band limit the signal and down sampler to decrease the sampling rate by an integer factor (D).

What is the difference between decimation and downsampling?

Loosely speaking, “decimation” is the process of reducing the sampling rate. In practice, this usually implies lowpass-filtering a signal, then throwing away some of its samples. “Downsampling” is a more specific term which refers to just the process of throwing away samples, without the lowpass filtering operation.

What is decimation when it is performed?

Decimation (Latin: decimatio; decem = "ten") was a form of Roman military discipline in which every tenth man in a group was executed by members of his cohort.