Nyquist Sampling Frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sampling Frequency = 2*Message Signal Frequency
fs = 2*Fm
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: 0.15 Kilohertz --> 150 Hertz (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fs = 2*Fm --> 2*150
Evaluating ... ...
fs = 300
STEP 3: Convert Result to Output's Unit
300 Hertz -->0.3 Kilohertz (Check conversion ​here)
FINAL ANSWER
0.3 Kilohertz <-- Sampling Frequency
(Calculation completed in 00.020 seconds)

Credits

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Created by Harshita Kapoor
Department of Electronics, University of Delhi (Department of electronics. DU), Delhi
Harshita Kapoor has created this Calculator and 1 more calculators!
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Verified by Bhuvana
BMS collegeof engineering (BMSCE), Benagluru
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11 Modulation Parameters Calculators

Quantization Step Size
​ Go Quantization Step Size = (Maximum Voltage-Minimum Voltage)/Number of Quantisation Levels
Bit Rate of Raised Cosine Filter using Rolloff Factor
​ Go Bit Rate of Raised Cosine Filter = (2*Bandwidth of Raised Cosine Filter)/(1+Rolloff Factor)
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))
Number of Samples
​ Go Number of Samples = Maximum Frequency/Sampling Frequency
Bit Rate
​ Go Bit Rate = Sampling Frequency*Bit Depth
Bit Rate of Raised Cosine Filter given Time Period
​ Go Bit Rate of Raised Cosine Filter = 1/Signal Time Period
Signal to Noise Ratio
​ Go Signal to Noise Ratio = (6.02*Resolution of ADC)+1.76
Number of Quantization Levels
​ Go Number of Quantisation Levels = 2^Resolution of ADC
Nyquist Sampling Frequency
​ Go Sampling Frequency = 2*Message Signal Frequency
Bit Rate using Bit Duration
​ Go Bit Rate = 1/Bit Duration

Nyquist Sampling Frequency Formula

Sampling Frequency = 2*Message Signal Frequency
fs = 2*Fm

What is 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 fs symbol.

How to calculate Nyquist Sampling Frequency using this online calculator? To use this online calculator for Nyquist Sampling Frequency, enter Message Signal Frequency (Fm) and hit the calculate button. Here is how the Nyquist Sampling Frequency calculation can be explained with given input values -> 0.0003 = 2*150.

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 fs = 2*Fm 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 (Fm). 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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