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Nyquist Sampling Frequency Formula

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Sampling frequency is defined as the number of samples per second in a sound. Check FAQs

f s = 2 \cdot F m

f_s - Sampling Frequency?F_m - Message Signal Frequency?

Nyquist Sampling Frequency Example

With values

With units

Only example

Here is how the Nyquist Sampling Frequency equation looks like with Values.

Here is how the Nyquist Sampling Frequency equation looks like with Units.

Here is how the Nyquist Sampling Frequency equation looks like.

0.3 = 2 \cdot 0.15

0.3kHz = 2 \cdot 0.15kHz

0.3 = 2 \cdot 0.15

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Nyquist Sampling Frequency Solution

Follow our step by step solution on how to calculate Nyquist Sampling Frequency?

FIRST Step Consider the formula

f s = 2 \cdot F m

Next Step Substitute values of Variables

∴

f s = 2 \cdot 0.15kHz

Next Step Convert Units

∴

f s = 2 \cdot 150Hz

Next Step Prepare to Evaluate

∴

f s = 2 \cdot 150

Next Step Evaluate

∴

f s = 300Hz

LAST Step Convert to Output's Unit

∴

f s = 0.3kHz

Nyquist Sampling Frequency Formula Elements

Variables

Sampling Frequency

Sampling frequency is defined as the number of samples per second in a sound.

Symbol: f_s

Measurement: FrequencyUnit: kHz

Note: Value should be greater than 0.

Formulas to find Sampling Frequency

Message Signal Frequency

Message signal frequency is defined as the frequency of the message signal that will be modulated or sampled.

Symbol: F_m

Measurement: FrequencyUnit: kHz

Note: Value should be greater than 0.

Formulas to find Message Signal Frequency

Other formulas in Modulation Parameters category

Go Bit Rate

R = f s \cdot BitDepth

Go Bit Rate using Bit Duration

R = \frac{1}{T b}

Go Attenuation given Power of 2 Signals

dB = 10 \cdot (\log 10 (\frac{P 2}{P 1}))

Go Attenuation given Voltage of 2 Signals

dB = 20 \cdot (\log 10 (\frac{V2}{V1}))

How to Evaluate Nyquist Sampling Frequency?

Nyquist Sampling Frequency evaluator uses Sampling Frequency = 2*Message Signal Frequency to evaluate the Sampling Frequency, Nyquist Sampling Frequency Theorem states that the frequency of the sampling signal should be greater than pr equal to the double frequency of the message signal. Sampling Frequency is denoted by f_s symbol.

How to evaluate Nyquist Sampling Frequency using this online evaluator? To use this online evaluator for Nyquist Sampling Frequency, enter Message Signal Frequency (F_m) and hit the calculate button.

FAQs on Nyquist Sampling Frequency

What is the formula to find Nyquist Sampling Frequency?

The formula of Nyquist Sampling Frequency is expressed as Sampling Frequency = 2*Message Signal Frequency. Here is an example- 0.0003 = 2*150.

How to calculate Nyquist Sampling Frequency?

With Message Signal Frequency (F_m) we can find Nyquist Sampling Frequency using the formula - Sampling Frequency = 2*Message Signal Frequency.

Can the Nyquist Sampling Frequency be negative?

No, the Nyquist Sampling Frequency, measured in Frequency cannot be negative.

Which unit is used to measure Nyquist Sampling Frequency?

Nyquist Sampling Frequency is usually measured using the Kilohertz[kHz] for Frequency. Hertz[kHz], Petahertz[kHz], Terahertz[kHz] are the few other units in which Nyquist Sampling Frequency can be measured.

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