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Quantization Error Formula

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Quantization error occurs because the discrete levels cannot perfectly represent the infinite range of analog signal amplitudes. Check FAQs

e q = \frac{V sin}{2 \cdot V}

e_q - Quantization Error?V_sin - Sinusoidal Input?V - Voltage?

Quantization Error Example

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With units

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Here is how the Quantization Error equation looks like with Values.

Here is how the Quantization Error equation looks like with Units.

Here is how the Quantization Error equation looks like.

0.012 = \frac{2.88}{2 \cdot 120}

0.012 = \frac{2.88}{2 \cdot 120V}

0.012 = \frac{2.88}{2 \cdot 120}

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Quantization Error Solution

Follow our step by step solution on how to calculate Quantization Error?

FIRST Step Consider the formula

e q = \frac{V sin}{2 \cdot V}

Next Step Substitute values of Variables

∴

e q = \frac{2.88}{2 \cdot 120V}

Next Step Prepare to Evaluate

∴

e q = \frac{2.88}{2 \cdot 120}

LAST Step Evaluate

∴

e q = 0.012

Quantization Error Formula Elements

Variables

Quantization Error

Quantization error occurs because the discrete levels cannot perfectly represent the infinite range of analog signal amplitudes.

Symbol: e_q

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Quantization Error

Sinusoidal Input

Sinusoidal input refers to an input signal that exhibits a sinusoidal waveform. A sinusoidal waveform is a smooth and periodic oscillation that can be represented by a sine or cosine function.

Symbol: V_sin

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Sinusoidal Input

Voltage

Voltage is the difference in electric potential between two points, which is defined as the work needed per unit of charge to move a test charge between the two points.

Symbol: V

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Voltage

Other formulas in Telecommunication Traffic System category

Go Grade of Service

GoS = \frac{N L}{T c}

Go Number of Lost Call

N L = T c \cdot GoS

Go Total Number of Offered Calls

T c = \frac{N L}{GoS}

Go Cost of Switching System

C sw = n sw \cdot C s + C ch + C c

How to Evaluate Quantization Error?

Quantization Error evaluator uses Quantization Error = Sinusoidal Input/(2*Voltage) to evaluate the Quantization Error, The Quantization Error formula is defined as the difference between the analog signal and the closest available digital value at each sampling instant from the A/D converter. Quantization Error is denoted by e_q symbol.

How to evaluate Quantization Error using this online evaluator? To use this online evaluator for Quantization Error, enter Sinusoidal Input (V_sin) & Voltage (V) and hit the calculate button.

FAQs on Quantization Error

What is the formula to find Quantization Error?

The formula of Quantization Error is expressed as Quantization Error = Sinusoidal Input/(2*Voltage). Here is an example- 0.012 = 2.88/(2*120).

How to calculate Quantization Error?

With Sinusoidal Input (V_sin) & Voltage (V) we can find Quantization Error using the formula - Quantization Error = Sinusoidal Input/(2*Voltage).

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Quantization Error Formula

Quantization Error Example

Quantization Error Solution

Quantization Error Formula Elements

Other formulas in Telecommunication Traffic System category

How to Evaluate Quantization Error?

FAQs on Quantization Error

Variable Name