## What do you mean by decimation and interpolation?

## What do you mean by decimation and interpolation?

• Decimation. – Reduce the sampling rate of a discrete-time signal. – Low sampling rate reduces storage and computation requirements. • Interpolation. – Increase the sampling rate of a discrete-time signal.

**What is decimation process?**

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 of the signals?**

Decimation is a term that historically means the removal of every tenth one. But in signal processing, decimation by a factor of 10 actually means keeping only every tenth sample. This factor multiplies the sampling interval or, equivalently, divides the sampling rate.

### What is data decimation?

Decimation is the process of reducing the sampling frequency of a signal to a lower sampling frequency that differs from the original frequency by an integer value. Decimation also is known as down-sampling.

**What do you mean by interpolation in DSP?**

In the domain of digital signal processing, the term interpolation refers to the process of converting a sampled digital signal (such as a sampled audio signal) to that of a higher sampling rate (Upsampling) using various digital filtering techniques (for example, convolution with a frequency-limited impulse signal).

**When was decimation used?**

471 BC

The practice of Decimation is recorded to have been used as early as 471 BC, but the practice was stopped and replaced by other forms of punishment. The practice was resumed by Marcus Licinius Crassus during the Third Servile War.

## What is decimation in time?

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 is the purpose of decimation?**

Decimation reduces the original sample rate of a sequence to a lower rate. It is the opposite of interpolation. decimate lowpass filters the input to guard against aliasing and downsamples the result. The function uses decimation algorithms 8.2 and 8.3 from [1].