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Sampling Theorem Calculator

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Modulation Techniques Modulation Parameters

✖Maximum Frequency is the highest frequency of a band-limited continuous-time signal.ⓘ Maximum Frequency [f_m]

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

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Sampling Theorem Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sampling Frequency = 2*Maximum 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.
Maximum Frequency - (Measured in Hertz) - Maximum Frequency is the highest frequency of a band-limited continuous-time signal.

STEP 1: Convert Input(s) to Base Unit

Maximum Frequency: 0.153 Kilohertz --> 153 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_s = 2*f_m --> 2*153

Evaluating ... ...

f_s = 306

STEP 3: Convert Result to Output's Unit

306 Hertz -->0.306 Kilohertz (Check conversion here)

FINAL ANSWER

0.306 Kilohertz <-- Sampling Frequency

(Calculation completed in 00.004 seconds)

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Sampling Theorem Formula

LaTeX Go

Sampling Frequency = 2*Maximum Frequency
f_s = 2*f_m

What is Sampling theorem?

The sampling theorem, which is also called as Nyquist theorem, delivers the theory of sufficient sample rate in terms of bandwidth for the class of functions that are bandlimited.
The sampling theorem states that, “a signal can be exactly reproduced if it is sampled at the rate which is greater than twice the maximum frequency.” The output sample signal is represented by samples.

How to Calculate Sampling Theorem?

Sampling Theorem calculator uses Sampling Frequency = 2*Maximum Frequency to calculate the Sampling Frequency, Sampling Theorem can be defined a signal can be exactly reproduced if it is sampled at the rate fs, which is greater than or equal to twice the maximum frequency or Nyquist frequency of the given signal. Sampling Frequency is denoted by f_s symbol.

How to calculate Sampling Theorem using this online calculator? To use this online calculator for Sampling Theorem, enter Maximum Frequency (f_m) and hit the calculate button. Here is how the Sampling Theorem calculation can be explained with given input values -> 0.000306 = 2*153.

FAQ

What is Sampling Theorem?

Sampling Theorem can be defined a signal can be exactly reproduced if it is sampled at the rate fs, which is greater than or equal to twice the maximum frequency or Nyquist frequency of the given signal and is represented as f_s = 2*f_m or Sampling Frequency = 2*Maximum Frequency. Maximum Frequency is the highest frequency of a band-limited continuous-time signal.

How to calculate Sampling Theorem?

Sampling Theorem can be defined a signal can be exactly reproduced if it is sampled at the rate fs, which is greater than or equal to twice the maximum frequency or Nyquist frequency of the given signal is calculated using Sampling Frequency = 2*Maximum Frequency. To calculate Sampling Theorem, you need Maximum Frequency (f_m). With our tool, you need to enter the respective value for Maximum 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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