Howtosignalprocessing
- What is the minimum sampling frequency for accurate reconstruction of the signal?
- What is the minimum sampling frequency?
- What is the minimum sampling rate for a signal with maximum frequency?
- How do you reconstruct a signal from its samples?
What is the minimum sampling frequency for accurate reconstruction of the signal?
The minimum sampling frequency of a signal that it will not distort its underlying information, should be double the frequency of its highest frequency component. If fS is the sampling frequency, then the critical frequency (or Nyquist limit) fN is defined as equal to fS/2.
What is the minimum sampling frequency?
MINIMUM NUMBER OF SAMPLES
f. The sampling theorem states that a real signal, f(t), which is band-limited to f Hz can be reconstructed without error from samples taken uniformly at a rate R > 2f samples per second. This minimum sampling frequency, fs = 2f Hz, is called the Nyquist rate or the Nyquist frequency (6).
What is the minimum sampling rate for a signal with maximum frequency?
The minimum sampling rate is often called the Nyquist rate. For example, the minimum sampling rate for a telephone speech signal (assumed low-pass filtered at 4 kHz) should be 8 KHz (or 8000 samples per second), while the minimum sampling rate for an audio CD signal with frequencies up to 22 KHz should be 44KHz.
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.
