Sampling Theorem Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sampling Frequency = 2*Maximum 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.
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
fs = 2*fm --> 2*153
Evaluating ... ...
fs = 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)

Credits

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Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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14 Modulation Techniques Calculators

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Probability Error of BPSK for Raised Cosine Filter
​ Go Probability Error of BPSK = (1/2)*erfc(sqrt(Energy per Symbol/Noise Density))
Bandwidth of FSK
​ Go Bandwidth of FSK = Bit Rate*(1+Rolloff Factor)+(2*Difference in Frequency)
Bandwidth of ASK given Bit Rate
​ Go Bandwidth of ASK = (1+Rolloff Factor)*(Bit Rate/Number of Bits)
Rolloff Factor
​ Go Rolloff Factor = ((Bandwidth of ASK*Number of Bits)/Bit Rate)-1
Bandwidth of Raised Cosine Filter
​ Go Bandwidth of Raised Cosine Filter = (1+Rolloff Factor)/(2*Signal Time Period)
Signal Time Period
​ Go Signal Time Period = (1+Rolloff Factor)/(2*Bandwidth of Raised Cosine Filter)
Probability Error of DPSK
​ Go Probability Error of DPSK = (1/2)*e^(-(Energy per Bit/Noise Density))
Bandwidth Efficiency in Digital Communication
​ Go Bandwidth Efficiency = Bit Rate/Signal Bandwidth
Symbol Time
​ Go Symbol Time = Bit Rate/Bits Conveyed Per Symbol
Baud Rate
​ Go Baud Rate = Bit Rate/Number of Bits
Sampling Theorem
​ Go Sampling Frequency = 2*Maximum Frequency
Sampling Period
​ Go Sampling Period = 1/Sampling Frequency

Sampling Theorem Formula

Sampling Frequency = 2*Maximum Frequency
fs = 2*fm

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 fs symbol.

How to calculate Sampling Theorem using this online calculator? To use this online calculator for Sampling Theorem, enter Maximum Frequency (fm) 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 fs = 2*fm 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 (fm). 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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