Quantization Step Size Calculator

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Modulation Parameters

Modulation Techniques

✖Maximum Voltage is the maximum voltage in the given voltage range produced by an ADC.ⓘ Maximum Voltage [V_max]			+10% -10%
✖Minimum voltage is the minimum voltage in the given voltage range produced by an ADC.ⓘ Minimum Voltage [V_min]			+10% -10%
✖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.ⓘ Number of Quantisation Levels [N_lvl]			+10% -10%

✖Quantization Step Size determines the size of the smallest distinguishable increment in the quantized representation. It represents the difference between two adjacent quantization levels.ⓘ Quantization Step Size [Δ]

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Formula

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Quantization Step Size

Formula

`"Δ" = ("V"_{"max"}-"V"_{"min"})/"N"_{"lvl"}`

Example

`"0.9V"=("5V"-"1.4V")/"4"`

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Quantization Step Size Solution

STEP 0: Pre-Calculation Summary

Formula Used

Quantization Step Size = (Maximum Voltage-Minimum Voltage)/Number of Quantisation Levels
Δ = (V_max-V_min)/N_lvl
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 = (V_max-V_min)/N_lvl --> (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 00.004 seconds)

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< 11 Modulation Parameters Calculators

Quantization Step Size

Go Quantization Step Size = (Maximum Voltage-Minimum Voltage)/Number of Quantisation Levels

Bit Rate of Raised Cosine Filter using Rolloff Factor

Go Bit Rate of Raised Cosine Filter = (2*Bandwidth of Raised Cosine Filter)/(1+Rolloff Factor)

Attenuation given Voltage of 2 Signals

Go Attenuation = 20*(log10(Voltage 2/Voltage 1))

Attenuation given Power of 2 Signals

Go Attenuation = 10*(log10(Power 2/Power 1))

Number of Samples

Go Number of Samples = Maximum Frequency/Sampling Frequency

Bit Rate

Go Bit Rate = Sampling Frequency*Bit Depth

Bit Rate of Raised Cosine Filter given Time Period

Go Bit Rate of Raised Cosine Filter = 1/Signal Time Period

Signal to Noise Ratio

Go Signal to Noise Ratio = (6.02*Resolution of ADC)+1.76

Number of Quantization Levels

Go Number of Quantisation Levels = 2^Resolution of ADC

Nyquist Sampling Frequency

Go Sampling Frequency = 2*Message Signal Frequency

Bit Rate using Bit Duration

Go Bit Rate = 1/Bit Duration

Quantization Step Size Formula

Quantization Step Size = (Maximum Voltage-Minimum Voltage)/Number of Quantisation Levels
Δ = (V_max-V_min)/N_lvl

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 (V_max), Minimum Voltage (V_min) & Number of Quantisation Levels (N_lvl) 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 = (V_max-V_min)/N_lvl 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 (V_max), Minimum Voltage (V_min) & Number of Quantisation Levels (N_lvl). 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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