Quantization Step Size Solution

STEP 0: Pre-Calculation Summary
Formula Used
Quantization Step Size = (Maximum Voltage-Minimum Voltage)/Number of Quantisation Levels
Δ = (Vmax-Vmin)/Nlvl
This formula uses 4 Variables
Variables Used
Quantization Step Size - (Measured in Volt) - Quantization Step Size determines the size of the smallest distinguishable increment in the quantized representation. It represents the difference between two adjacent quantization levels.
Maximum Voltage - (Measured in Volt) - Maximum Voltage is the maximum voltage in the given voltage range produced by an ADC.
Minimum Voltage - (Measured in Volt) - Minimum voltage is the minimum voltage in the given voltage range produced by an ADC.
Number of Quantisation Levels - Number of quantisation levels refers to the total count of discrete values or levels used to represent a continuous range of values during the quantization process.
STEP 1: Convert Input(s) to Base Unit
Maximum Voltage: 5 Volt --> 5 Volt No Conversion Required
Minimum Voltage: 1.4 Volt --> 1.4 Volt No Conversion Required
Number of Quantisation Levels: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Δ = (Vmax-Vmin)/Nlvl --> (5-1.4)/4
Evaluating ... ...
Δ = 0.9
STEP 3: Convert Result to Output's Unit
0.9 Volt --> No Conversion Required
FINAL ANSWER
0.9 Volt <-- Quantization Step Size
(Calculation completed in 00.020 seconds)

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

Attenuation given Voltage of 2 Signals
​ LaTeX ​ Go Attenuation = 20*(log10(Voltage 2/Voltage 1))
Attenuation given Power of 2 Signals
​ LaTeX ​ Go Attenuation = 10*(log10(Power 2/Power 1))
Bit Rate
​ LaTeX ​ Go Bit Rate = Sampling Frequency*Bit Depth
Bit Rate using Bit Duration
​ LaTeX ​ Go Bit Rate = 1/Bit Duration

Quantization Step Size Formula

​LaTeX ​Go
Quantization Step Size = (Maximum Voltage-Minimum Voltage)/Number of Quantisation Levels
Δ = (Vmax-Vmin)/Nlvl

What does the quantization step size depend on?

The quantization step size depends on the dynamic range. When determined in terms of the pre-amplified input signal, it depends on the gain (output/input) of the amplifier, since the gain determines the recorded signal values. Dynamic range is the full-scale amplitude extent of allowable input to the ADC. (Dynamic range may also be defined as the amplitude extent of the pre-amplified input signal.)

How to Calculate Quantization Step Size?

Quantization Step Size calculator uses Quantization Step Size = (Maximum Voltage-Minimum Voltage)/Number of Quantisation Levels to calculate the Quantization Step Size, Quantization step size determines the size of the smallest distinguishable increment in the quantized representation. It represents the difference between two adjacent quantization levels. In digital signal processing and data compression, quantization is used to represent continuous data with a finite number of bits or levels. Quantization Step Size is denoted by Δ symbol.

How to calculate Quantization Step Size using this online calculator? To use this online calculator for Quantization Step Size, enter Maximum Voltage (Vmax), Minimum Voltage (Vmin) & Number of Quantisation Levels (Nlvl) and hit the calculate button. Here is how the Quantization Step Size calculation can be explained with given input values -> 0.9 = (5-1.4)/4.

FAQ

What is Quantization Step Size?
Quantization step size determines the size of the smallest distinguishable increment in the quantized representation. It represents the difference between two adjacent quantization levels. In digital signal processing and data compression, quantization is used to represent continuous data with a finite number of bits or levels and is represented as Δ = (Vmax-Vmin)/Nlvl or Quantization Step Size = (Maximum Voltage-Minimum Voltage)/Number of Quantisation Levels. Maximum Voltage is the maximum voltage in the given voltage range produced by an ADC, Minimum voltage is the minimum voltage in the given voltage range produced by an ADC & Number of quantisation levels refers to the total count of discrete values or levels used to represent a continuous range of values during the quantization process.
How to calculate Quantization Step Size?
Quantization step size determines the size of the smallest distinguishable increment in the quantized representation. It represents the difference between two adjacent quantization levels. In digital signal processing and data compression, quantization is used to represent continuous data with a finite number of bits or levels is calculated using Quantization Step Size = (Maximum Voltage-Minimum Voltage)/Number of Quantisation Levels. To calculate Quantization Step Size, you need Maximum Voltage (Vmax), Minimum Voltage (Vmin) & Number of Quantisation Levels (Nlvl). With our tool, you need to enter the respective value for Maximum Voltage, Minimum Voltage & Number of Quantisation Levels 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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