Signal

Is it possible to discretely sample the function

Is it possible to discretely sample the function
  1. What is discrete sampling?
  2. Can you able to reconstruct the original signal from sampled signal if it has been sampled at Nyquist rate?
  3. What does sampling period mean?
  4. How do you sample a signal?

What is discrete sampling?

A discrete sample is one sample taken from a single point, at a specific time; this type of sample is also called a 'grab' sample. A composite sample is collected by combining grab samples from one location at different times, or samples from different locations at the same time and combined.

Can you able to reconstruct the original signal from sampled signal if it has been sampled at Nyquist rate?

Nyquist Sampling Theorem:

If a signal is band limited and its samples are taken at sufficient rate then those samples uniquely specify the signal and the signal can be reconstructed from those samples. The condition in which this is possible is known as Nyquist sampling theorem and is derived below.

What does sampling period mean?

The sampling period is the time difference between two consecutive samples in a Sound. It is the inverse of the sampling frequency. For example: if the sampling frequency is 44100 Hz, the sampling period is 1/44100 = 2.2675736961451248e-05 seconds: the samples are spaced approximately 23 microseconds apart.

How do you sample a signal?

Sampling a continuous time signal produces a discrete time signal by selecting the values of the continuous time signal at evenly spaced points in time. Thus, sampling a continuous time signal x with sampling period Ts gives the discrete time signal xs defined by xs(n)=x(nTs).

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