FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Sampling Theorem Formula

Fx Copy

LaTeX Copy

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 - Maximum Frequency?

Sampling Theorem Example

With values

With units

Only example

Here is how the Sampling Theorem equation looks like with Values.

Here is how the Sampling Theorem equation looks like with Units.

Here is how the Sampling Theorem equation looks like.

0.306 = 2 \cdot 0.153

0.306kHz = 2 \cdot 0.153kHz

0.306 = 2 \cdot 0.153

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics » Category

Digital Communication » fx Sampling Theorem

Sampling Theorem Solution

Follow our step by step solution on how to calculate Sampling Theorem?

FIRST Step Consider the formula

f s = 2 \cdot f m

Next Step Substitute values of Variables

∴

f s = 2 \cdot 0.153kHz

Next Step Convert Units

∴

f s = 2 \cdot 153Hz

Next Step Prepare to Evaluate

∴

f s = 2 \cdot 153

Next Step Evaluate

∴

f s = 306Hz

LAST Step Convert to Output's Unit

∴

f s = 0.306kHz

Sampling Theorem 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

Maximum Frequency

Maximum Frequency is the highest frequency of a band-limited continuous-time signal.

Symbol: f_m

Measurement: FrequencyUnit: kHz

Note: Value should be greater than 0.

Formulas to find Maximum Frequency

Other formulas in Modulation Techniques category

Go Symbol Time

T syb = \frac{R}{N}

Go Baud Rate

r = \frac{R}{n b}

Go Bandwidth of Raised Cosine Filter

f b = \frac{1 + α}{2 \cdot T}

Go Bandwidth of FSK

BW FSK = R \cdot (1 + α) + (2 \cdot Δf)

How to Evaluate Sampling Theorem?

Sampling Theorem evaluator uses Sampling Frequency = 2*Maximum Frequency to evaluate 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 evaluate Sampling Theorem using this online evaluator? To use this online evaluator for Sampling Theorem, enter Maximum Frequency (f_m) and hit the calculate button.

FAQs on Sampling Theorem

What is the formula to find Sampling Theorem?

The formula of Sampling Theorem is expressed as Sampling Frequency = 2*Maximum Frequency. Here is an example- 0.000306 = 2*153.

How to calculate Sampling Theorem?

With Maximum Frequency (f_m) we can find Sampling Theorem using the formula - Sampling Frequency = 2*Maximum Frequency.

Can the Sampling Theorem be negative?

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

Which unit is used to measure Sampling Theorem?

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

Let Others Know

✖

Facebook

Twitter

Copied!