HCF of three numbers

Quantization Error Calculator

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Telecommunication Traffic System Digital Switching System

✖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.ⓘ Sinusoidal Input [V_sin]			+10% -10%
✖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.ⓘ Voltage [V]			+10% -10%

✖Quantization error occurs because the discrete levels cannot perfectly represent the infinite range of analog signal amplitudes.ⓘ Quantization Error [e_q]

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Formula

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Quantization Error

Formula

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

Example

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

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Quantization Error Solution

STEP 0: Pre-Calculation Summary

Formula Used

Quantization Error = Sinusoidal Input/(2*Voltage)
e_q = V_sin/(2*V)
This formula uses 3 Variables

Variables Used

Quantization Error - Quantization error occurs because the discrete levels cannot perfectly represent the infinite range of analog signal amplitudes.
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.
Voltage - (Measured in Volt) - 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.

STEP 1: Convert Input(s) to Base Unit

Sinusoidal Input: 2.88 --> No Conversion Required
Voltage: 120 Volt --> 120 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e_q = V_sin/(2*V) --> 2.88/(2*120)

Evaluating ... ...

e_q = 0.012

STEP 3: Convert Result to Output's Unit

0.012 --> No Conversion Required

FINAL ANSWER

0.012 <-- Quantization Error

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Quantization Error Formula

Quantization Error = Sinusoidal Input/(2*Voltage)
e_q = V_sin/(2*V)

What is Quantization?

Quantization is the process of constraining an input from a continuous or otherwise large set of values (such as the real numbers) to a discrete set (such as the integers).

How to Calculate Quantization Error?

Quantization Error calculator uses Quantization Error = Sinusoidal Input/(2*Voltage) to calculate 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 calculate Quantization Error using this online calculator? To use this online calculator for Quantization Error, enter Sinusoidal Input (V_sin) & Voltage (V) and hit the calculate button. Here is how the Quantization Error calculation can be explained with given input values -> 0.012 = 2.88/(2*120).

FAQ

What is 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 and is represented as e_q = V_sin/(2*V) or Quantization Error = Sinusoidal Input/(2*Voltage). 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 & 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.

How to calculate 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 is calculated using Quantization Error = Sinusoidal Input/(2*Voltage). To calculate Quantization Error, you need Sinusoidal Input (V_sin) & Voltage (V). With our tool, you need to enter the respective value for Sinusoidal Input & Voltage 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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