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if the sampling rate is twice that of maximum frequency component in the message signal it is known as nyquist rate

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How would you define nyquist rate?

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.


What is nyquist sampling?

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.


What does nyquist theorem have to do with communications?

The Nyquist theorem defines the maximum bit rate of a noiseless channel.


What is an ideal nyquist channel?

An ideal Nyquist channel is a theoretical communication channel characterized by a flat frequency response and no intersymbol interference (ISI), allowing for the maximum data transmission rate without distortion. It operates under the Nyquist criterion, which states that the maximum data rate is twice the bandwidth of the channel. This means that for a channel with bandwidth ( B ), the highest achievable bit rate is ( 2B ) bits per second. In practice, achieving an ideal Nyquist channel is challenging due to real-world factors like noise and channel imperfections.


What is relation between roll off factor bandwidth and bit rate?

The roll-off factor of a digital filter defines how much more bandwidth the filter occupies than that of an ideal "brick-wall" filter, whose bandwidth is the theoretical minimum Nyquist bandwidth. The Nyquist bandwidth is simply the symbol rate expressed in Hz: Nyquist Bandwidth (Hz) = Symbol Rate (Sym/s) However, a real-world filter will require more bandwidth, and the excess over the Nyquist bandwidth is expressed by the roll-off factor. Suppose a filter has a Nyquist bandwidth of 100 MHz but actually occupies 120 MHz; in this case its roll-off factor is 0.2, i.e. the excess bandwidth is 0.2 times the Nyquist bandwidth and the total filter pass-bandwidth is 1.2 times the Nyquist bandwidth.


What uis the sampling rate for PCM if the Frequency ranges from 1000 to 4000 Hz?

As we know that the sampling rate is two times of the highest frequency (Nyquist theorm) Sampling rate=2 Nyquist fs=8000hz/8khz


Which channel defines nyquist bit rate formula?

computer networking


Is Nyquist theorem true for optical fiber or only for copper wire?

Nyquist theorem, also known as the Nyquist-Shannon sampling theorem, is a fundamental concept in signal processing that applies to all types of communication channels, including optical fiber and copper wire. It states that in order to accurately reconstruct a signal, the sampling rate must be at least twice the highest frequency component of the signal. This principle is essential for digital communication systems to avoid aliasing and ensure reliable data transmission in both optical fiber and copper wire environments.


What is the minimum sample rate required to to record a frequency of 20 kHz?

According to the Nyquist theorem, a sample rate of double the frequency is required to record it, so 40 kHz .


How is the channel used in the digital communucation system?

The channel used in a digital communication system is used to convey an information signal. A channel has certain capacity for putting in information that is measured by bandwidth in Hz or data rate.


Comment the effect of oversampling on a signal?

Oversampling is part of signal processing. It is the process of using a sampling frequency that is higher than the Nyquist rate to sample a signal.


What is the lowpass filter cutoff frequency that must be used to decimate to reduce the sampling rate from 8kHz to 4kHz?

2kHz - That's the nyquist frequency at a sample frequency of 4kHz.