Sampling a Digital Signal


	Sampling data is the first step in the signal processing of wave forms coming from radar, submarine detection, earthquakes, seismic oil exploration, etc. Up-sampling and down-sampling are the basic operations in multirate discrete-time systems. The bottom part of the figure shows up-sampling and down-sampling by an integer factor of the signal at the top. For the up-sampling process, equidistant zero-valued samples are inserted by the up-sampler between each consecutive sample of the input sequence . Conversely, the down-sampling operation on the input sequence consists of keeping every sample of and removing the others.


	Contributed by: Siva Perla

The up-sampled sequence

is developed according to the input sequence

The sampling rate of

times larger than that of the original sequence

The down-sampled sequence

is developed according to the input sequence

Here the sampling rate of

that of the original sequence

S. Mitra, Digital Signal Processing, 3rd ed., New York: McGraw-Hill, 2005.

Nyquist Frequency (Wolfram MathWorld)

Oversampling (Wolfram MathWorld)

"Sampling a Digital Signal" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/SamplingADigitalSignal/

Contributed by: Siva Perla

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