Howtosignalprocessing
- What will happen if we sample below the Nyquist rate?
- Is it always possible to reconstruct the original signal after it is sampled?
- What is the Nyquist sampling frequency for a signal with frequency?
- Can you able to reconstruct the original signal from sampled signal if it has been sampled at Nyquist rate?
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.
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.
What is the Nyquist sampling frequency for a signal with frequency?
Nyquist's theorem states that a periodic signal must be sampled at more than twice the highest frequency component of the signal. In practice, because of the finite time available, a sample rate somewhat higher than this is necessary. A sample rate of 4 per cycle at oscilloscope bandwidth would be typical.
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.
