According to the Nyquist theorem, the minimum sampling rate must be at least twice the maximum frequency of the input signal to avoid aliasing. Therefore, if the input frequency is 3 kHz, the minimum sampling rate should be 6 kHz.
The Nyquist sampling rate is defined as twice the highest frequency present in a signal to avoid aliasing during sampling. For a frequency ( f = 0 ), the Nyquist sampling rate would also be ( 0 ) since there are no oscillations to capture. Consequently, the Nyquist frequency, which is half of the sampling rate, is also ( 0 ). This means that no information can be effectively captured or reconstructed from a signal that is constant (i.e., with a frequency of zero).
It states that for satisfactory representation of the sampled signal the sampling frequency must be atleast equal to twice the highest input freq, which is called nyquist sampling. If its less than twice, undersamplin occurs resulting in distortion.
The Nyquist Therorem states that the lowest sampling rate has to be equil to or greather than 2 times the highest frequency. Therefore the sampling rate should be 400Hz or more.
A 20Hz signal must be sampled at a minimum of 40Hz to have a chance of sampling both peaks and to get a reasonable representation it must be sampled at a minimum of 100Hz.For a sampling rate of 30Hz the Nyquist frequency is 15Hz and since 20Hz is above that it will generate the alias signal of 10Hz in the sampled data instead of the original signal of 20Hz. Therefore it is not possible to do what you ask.
>8000hz
According to Niquest Theorem, it has to be more than twice the input frequency.
The minimum sample rate required to record a frequency of 96 kHz is 192 kHz. This is because according to the Nyquist theorem, the minimum sampling rate must be at least twice the highest frequency in order to accurately reconstruct the original signal. So for a frequency of 96 kHz, the minimum required sampling rate is double, which equals 192 kHz.
The minimum acceptable sampling rate is determined by the Nyquist theorem, which states that to accurately capture a signal without aliasing, the sampling rate must be at least twice the highest frequency present in the signal. This rate is known as the Nyquist rate. For example, if a signal contains frequencies up to 20 kHz, the minimum sampling rate should be 40 kHz. In practice, higher rates are often used to ensure better fidelity and to accommodate filter roll-off.
The Nyquist sampling rate is defined as twice the highest frequency present in a signal to avoid aliasing during sampling. For a frequency ( f = 0 ), the Nyquist sampling rate would also be ( 0 ) since there are no oscillations to capture. Consequently, the Nyquist frequency, which is half of the sampling rate, is also ( 0 ). This means that no information can be effectively captured or reconstructed from a signal that is constant (i.e., with a frequency of zero).
Nyquist sampling refers to the principle that to accurately capture a continuous signal, it must be sampled at least twice the highest frequency present in that signal. This minimum sampling rate is known as the Nyquist rate. If the sampling rate is lower than this threshold, it can lead to aliasing, where higher frequency components are misrepresented as lower frequencies, distorting the signal. This concept is crucial in fields like digital signal processing and telecommunications.
As we know that the sampling rate is two times of the highest frequency (Nyquist theorm) Sampling rate=2 Nyquist fs=8000hz/8khz
It states that for satisfactory representation of the sampled signal the sampling frequency must be atleast equal to twice the highest input freq, which is called nyquist sampling. If its less than twice, undersamplin occurs resulting in distortion.
The Nyquist Therorem states that the lowest sampling rate has to be equil to or greather than 2 times the highest frequency. Therefore the sampling rate should be 400Hz or more.
A: A sampling scope is not real time scope but rather a hi frequency rate of sampling which benefit the observer
A 20Hz signal must be sampled at a minimum of 40Hz to have a chance of sampling both peaks and to get a reasonable representation it must be sampled at a minimum of 100Hz.For a sampling rate of 30Hz the Nyquist frequency is 15Hz and since 20Hz is above that it will generate the alias signal of 10Hz in the sampled data instead of the original signal of 20Hz. Therefore it is not possible to do what you ask.
The Nyquist frequency should not be confused with the Nyquist rate, which is the minimum sampling rate that satisfies the Nyquist sampling criterionfor a given signal or family of signals. The Nyquist rate is twice the maximum component frequency of the function being sampled. For example, the Nyquist rate for the sinusoid at 0.6 fs is 1.2 fs, which means that at the fs rate, it is being undersampled. Thus, Nyquist rate is a property of a continuous-time signal, whereas Nyquist frequency is a property of a discrete-time system.When the function domain is time, sample rates are usually expressed in samples/second, and the unit of Nyquist frequency is cycles/second (hertz). When the function domain is distance, as in an image sampling system, the sample rate might be dots per inch and the corresponding Nyquist frequency would be in cycles/inch.
>8000hz