Nyquist Sampling Frequency Calculator

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✖Message signal frequency is defined as the frequency of the message signal that will be modulated or sampled.ⓘ Message Signal Frequency [F_m]

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✖Sampling frequency is defined as the number of samples per second in a sound.ⓘ Nyquist Sampling Frequency [f_s]

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Formula

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Nyquist Sampling Frequency

Formula

`"f"_{"s"} = 2*"F"_{"m"}`

Example

`"1.1kHz"=2*"0.55kHz"`

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Nyquist Sampling Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sampling frequency = 2*Message Signal Frequency
f_s = 2*F_m
This formula uses 2 Variables

Variables Used

Sampling frequency - (Measured in Hertz) - Sampling frequency is defined as the number of samples per second in a sound.
Message Signal Frequency - (Measured in Hertz) - Message signal frequency is defined as the frequency of the message signal that will be modulated or sampled.

STEP 1: Convert Input(s) to Base Unit

Message Signal Frequency: 0.55 Kilohertz --> 550 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_s = 2*F_m --> 2*550

Evaluating ... ...

f_s = 1100

STEP 3: Convert Result to Output's Unit

1100 Hertz -->1.1 Kilohertz (Check conversion here)

FINAL ANSWER

1.1 Kilohertz <-- Sampling frequency

(Calculation completed in 00.000 seconds)

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Credits

Created by Harshita Kapoor

Department of Electronics, University of Delhi (Department of electronics. DU), Delhi

Harshita Kapoor has created this Calculator and 2 more calculators!

Verified by Bhuvana

BMS collegeof engineering (BMSCE), Benagluru

Bhuvana has verified this Calculator and 1 more calculators!

< 7 Modulation Parameters Calculators

Bit rate of raised cosine filter

Go Bit Rate of Raised Cosine Filter = (2*Bandwidth of Raised Cosine Filter)/(1+Rolloff factor)

Bit rate

Go Bit Rate = Sampling frequency*Bit Depth*Number of Channels

Attenuation given Voltage of 2 Signals

Go Attenuation = 20*(log10(Voltage 2/Voltage 1))

Attenuation given Power of 2 Signals

Go Attenuation = 10*(log10(Power 2/Power 1))

Bit Rate of Raised Cosine Filter given Time Period

Go Bit Rate of Raised Cosine Filter = 1/Time Period of Progressive Wave

Nyquist Sampling Frequency

Go Sampling frequency = 2*Message Signal Frequency

Bit rate with respect to bit time

Go Bit Rate = 1/Bit Time

Nyquist Sampling Frequency Formula

Sampling frequency = 2*Message Signal Frequency
f_s = 2*F_m

Nyquist Theorem

If the frequency spectra of a function x(t) contain no frequencies
higher than B hertz, x(t) is completely determined by giving its
ordinates at a series of points spaced 1/(2B) seconds apart.
• In other words, to be able to accurately reconstruct a
signal, samples must be recorded every 1/(2B) second,
where B is the bandwidth of the signal.

How to Calculate Nyquist Sampling Frequency?

Nyquist Sampling Frequency calculator uses Sampling frequency = 2*Message Signal Frequency to calculate 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 calculate Nyquist Sampling Frequency using this online calculator? To use this online calculator for Nyquist Sampling Frequency, enter Message Signal Frequency (F_m) and hit the calculate button. Here is how the Nyquist Sampling Frequency calculation can be explained with given input values -> 1.1 = 2*550.

FAQ

What is Nyquist 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 and is represented as f_s = 2*F_m or Sampling frequency = 2*Message Signal Frequency. Message signal frequency is defined as the frequency of the message signal that will be modulated or sampled.

How to calculate Nyquist 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 is calculated using Sampling frequency = 2*Message Signal Frequency. To calculate Nyquist Sampling Frequency, you need Message Signal Frequency (F_m). With our tool, you need to enter the respective value for Message Signal Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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