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Quantization Step Size in Image Processing Formula

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Quantization Step Size is the difference between two adjacent quantization levels. It determines the spacing or granularity of the quantization. Check FAQs

Δ b = (2^{R b - ε b}) \cdot (1 + \frac{μ b}{2^{11}})

Δ_b - Quantization Step Size?R_b - Nominal Dynamic Range?ε_b - Bits Allotted Exponent Number?μ_b - Bits Allotted to Mantissa Number?

Quantization Step Size in Image Processing Example

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Here is how the Quantization Step Size in Image Processing equation looks like with Values.

Here is how the Quantization Step Size in Image Processing equation looks like with Units.

Here is how the Quantization Step Size in Image Processing equation looks like.

443.1024 = (2^{21 - 2.245}) \cdot (1 + \frac{3.24}{2^{11}})

443.1024kW/m² = (2^{21dB - 2.245}) \cdot (1 + \frac{3.24}{2^{11}})

443.1024 = (2^{21 - 2.245}) \cdot (1 + \frac{3.24}{2^{11}})

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Quantization Step Size in Image Processing Solution

Follow our step by step solution on how to calculate Quantization Step Size in Image Processing?

FIRST Step Consider the formula

Δ b = (2^{R b - ε b}) \cdot (1 + \frac{μ b}{2^{11}})

Next Step Substitute values of Variables

∴

Δ b = (2^{21dB - 2.245}) \cdot (1 + \frac{3.24}{2^{11}})

Next Step Prepare to Evaluate

∴

Δ b = (2^{21 - 2.245}) \cdot (1 + \frac{3.24}{2^{11}})

Next Step Evaluate

∴

Δ b = 443102.390695357W/m²

Next Step Convert to Output's Unit

∴

Δ b = 443.102390695357kW/m²

LAST Step Rounding Answer

∴

Δ b = 443.1024kW/m²

Quantization Step Size in Image Processing Formula Elements

Variables

Quantization Step Size

Quantization Step Size is the difference between two adjacent quantization levels. It determines the spacing or granularity of the quantization.

Symbol: Δ_b

Measurement: IntensityUnit: kW/m²

Note: Value should be greater than 0.

Formulas to find Quantization Step Size

Nominal Dynamic Range

Nominal Dynamic Range is the range of signal amplitudes within which a system is expected to operate optimally, providing faithful reproduction or transmission of information.

Symbol: R_b

Measurement: SoundUnit: dB

Note: Value should be greater than 0.

Formulas to find Nominal Dynamic Range

Bits Allotted Exponent Number

Bits Allotted Exponent Number represent the number of binary digits reserved for encoding the exponent component of a floating-point number, determining its range and precision.

Symbol: ε_b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bits Allotted Exponent Number

Bits Allotted to Mantissa Number

Bits Allotted to Mantissa Number represent the number of binary digits reserved for encoding the fractional part of a floating-point number, determining its precision and range.

Symbol: μ_b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bits Allotted to Mantissa Number

Other formulas in Basics of Image Processing category

Go Bilinear Interpolation

V x,y = A \cdot X + B \cdot Y + C \cdot X \cdot Y + D

Go Digital Image Row

M = \sqrt{\frac{n b}{N}}

Go Digital Image Column

N = \frac{n b}{M^{2}}

Go Number of Grey Level

L = 2^{N}

How to Evaluate Quantization Step Size in Image Processing?

Quantization Step Size in Image Processing evaluator uses Quantization Step Size = (2^(Nominal Dynamic Range-Bits Allotted Exponent Number))*(1+Bits Allotted to Mantissa Number/2^11) to evaluate the Quantization Step Size, The Quantization Step Size in Image Processing formula is defined as the process of reducing the number of distinct intensity levels in an image. It also determines the size of the intervals between the quantized levels. Quantization Step Size is denoted by Δ_b symbol.

How to evaluate Quantization Step Size in Image Processing using this online evaluator? To use this online evaluator for Quantization Step Size in Image Processing, enter Nominal Dynamic Range (R_b), Bits Allotted Exponent Number (ε_b) & Bits Allotted to Mantissa Number (μ_b) and hit the calculate button.

FAQs on Quantization Step Size in Image Processing

What is the formula to find Quantization Step Size in Image Processing?

The formula of Quantization Step Size in Image Processing is expressed as Quantization Step Size = (2^(Nominal Dynamic Range-Bits Allotted Exponent Number))*(1+Bits Allotted to Mantissa Number/2^11). Here is an example- 443102.4 = (2^(21-2.245))*(1+3.24/2^11).

How to calculate Quantization Step Size in Image Processing?

With Nominal Dynamic Range (R_b), Bits Allotted Exponent Number (ε_b) & Bits Allotted to Mantissa Number (μ_b) we can find Quantization Step Size in Image Processing using the formula - Quantization Step Size = (2^(Nominal Dynamic Range-Bits Allotted Exponent Number))*(1+Bits Allotted to Mantissa Number/2^11).

Can the Quantization Step Size in Image Processing be negative?

No, the Quantization Step Size in Image Processing, measured in Intensity cannot be negative.

Which unit is used to measure Quantization Step Size in Image Processing?

Quantization Step Size in Image Processing is usually measured using the Kilowatt per Square Meter[kW/m²] for Intensity. Watt per Square Meter[kW/m²], Watt per Square Centimeter[kW/m²], Watt per Square Millimeter[kW/m²] are the few other units in which Quantization Step Size in Image Processing can be measured.

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Quantization Step Size in Image Processing Formula

Quantization Step Size in Image Processing Example

Quantization Step Size in Image Processing Solution

Quantization Step Size in Image Processing Formula Elements

Other formulas in Basics of Image Processing category

How to Evaluate Quantization Step Size in Image Processing?

FAQs on Quantization Step Size in Image Processing

Variable Name