Signal

Passing a sampled signal through a filter

Passing a sampled signal through a filter
  1. What is sampling filtering?
  2. What type of filter is used to reconstruct the sampled signal?
  3. How do you reconstruct a signal from its samples?

What is sampling filtering?

Filtration is a separation technique used to concentrate or purify substances based on their physical or chemical properties. It is a simple and routine method used in many laboratories to remove insoluble particles from solutions and to prepare samples for analysis.

What type of filter is used to reconstruct the sampled signal?

However, for a band-limited continuous-time signal, if the sampling instants are sufficiently close then the signal may be reconstructed exactly by using a low pass filter.

How do you reconstruct a signal from its samples?

The reconstruction process consists of replacing each sample by a sinc function, centered at the time of the sample and scaled by the sample value x(nT) times 2fc/ fs and adding all the functions so created. Suppose the signal is sampled at exactly Nyquist rate fs= 2fm, Then fm= fs/2 = fs- fm and Fm= 1/2 = 1- Fm.

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