Howtosignalprocessing
- What should be the minimum sampling frequency?
- What is sampling of continuous time signal?
- What should be the ideal sampling rate of a band-limited continuous time signal?
- What is the minimum sample frequency needed to reconstruct an analog signal?
What should be 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 sampling of continuous time 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).
What should be the ideal sampling rate of a band-limited continuous time signal?
A band-limited signal of finite energy with no frequency components higher than W Hz may be completely recovered from a knowledge of its samples taken at the rate of 2 W samples/sec. This is also known as the uniform sampling theorem.
What is the minimum sample frequency needed to reconstruct an analog signal?
The Sampling Theorem states that a signal can be exactly reproduced if it is sampled at a frequency F, where F is greater than twice the maximum frequency in the signal. The sampling rate for an analog signal must be at least two times as high as the highest frequency in the analog signal in order to avoid aliasing.
