Signal

Recoverable continuous function after average sampling

Recoverable continuous function after average sampling
  1. Is it always possible to reconstruct the original signal after it is sampled?
  2. How do you reconstruct a continuous time signal from its samples?
  3. What is the necessary condition to recover the original signal from samples?
  4. What will happen if we sample below the Nyquist rate?

Is it always possible to reconstruct the original signal after it is sampled?

If a continuous-time signal contains only frequencies below the Nyquist frequency fs/2, then it can be perfectly reconstructed from samples taken at sampling frequency fs.

How do you reconstruct a continuous time signal from its samples?

A continuous time signal can be processed by processing its samples through a discrete time system. For reconstructing the continuous time signal from its discrete time samples without any error, the signal should be sampled at a sufficient rate that is determined by the sampling theorem.

What is the necessary condition to recover the original signal from samples?

The original signal is recoverable from its sampled form when the highest frequency component is less than the Nyquist frequency, ωs/2.

What will happen if we sample below the Nyquist rate?

When the sampling frequency drops below the Nyquist rate, the frequencies will crossover and cause aliasing.

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