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Nyquist Rate Formula

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The Nyquist rate is the minimum sampling rate needed to accurately represent a continuous-time signal in digital form. It is named after the Swedish-American engineer Harry Nyquist. Check FAQs

N r = 2 \cdot B

N_r - Nyquist Rate?B - Channel Bandwidth?

Nyquist Rate Example

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Here is how the Nyquist Rate equation looks like with Values.

Here is how the Nyquist Rate equation looks like with Units.

Here is how the Nyquist Rate equation looks like.

6.8 = 2 \cdot 3.4

6.8Hz = 2 \cdot 3.4Hz

6.8 = 2 \cdot 3.4

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Nyquist Rate Solution

Follow our step by step solution on how to calculate Nyquist Rate?

FIRST Step Consider the formula

N r = 2 \cdot B

Next Step Substitute values of Variables

∴

N r = 2 \cdot 3.4Hz

Next Step Prepare to Evaluate

∴

N r = 2 \cdot 3.4

LAST Step Evaluate

∴

N r = 6.8Hz

Nyquist Rate Formula Elements

Variables

Nyquist Rate

The Nyquist rate is the minimum sampling rate needed to accurately represent a continuous-time signal in digital form. It is named after the Swedish-American engineer Harry Nyquist.

Symbol: N_r

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Nyquist Rate

Channel Bandwidth

Channel bandwidth refers to the range of frequencies that can be used to transmit information through a communication channel.

Symbol: B

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Channel Bandwidth

Other formulas in Continuous Channels category

Go Channel Capacity

C = B \cdot \log 2 (1 + SNR)

Go Noise Power of Gaussian Channel

N o = 2 \cdot P SD \cdot B

Go Information Rate

R = r s \cdot H[S]

Go Amount of Information

I = \log 2 (\frac{1}{P k})

How to Evaluate Nyquist Rate?

Nyquist Rate evaluator uses Nyquist Rate = 2*Channel Bandwidth to evaluate the Nyquist Rate, The Nyquist rate formula is defined as is the minimum rate at which a finite bandwidth signal needs to be sampled to retain all of the information. Nyquist Rate is denoted by N_r symbol.

How to evaluate Nyquist Rate using this online evaluator? To use this online evaluator for Nyquist Rate, enter Channel Bandwidth (B) and hit the calculate button.

FAQs on Nyquist Rate

What is the formula to find Nyquist Rate?

The formula of Nyquist Rate is expressed as Nyquist Rate = 2*Channel Bandwidth. Here is an example- 6.8 = 2*3.4.

How to calculate Nyquist Rate?

With Channel Bandwidth (B) we can find Nyquist Rate using the formula - Nyquist Rate = 2*Channel Bandwidth.

Can the Nyquist Rate be negative?

Yes, the Nyquist Rate, measured in Frequency can be negative.

Which unit is used to measure Nyquist Rate?

Nyquist Rate is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Nyquist Rate can be measured.

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