Analog-to-Digital Conversion › lesson 27 of 100 · Intermediate

Calculate Effective Number of Bits

This lesson is part of a series on Analog-to-Digital Conversion and will enable learners to calculate the effective number of bits from ADC performance metrics. After completing this lesson, learners will be able to determine the effective resolution of an ADC.

The effective number of bits (ENOB) is a measure of the actual resolution of an analog-to-digital converter (ADC) and can be calculated from its performance met

In a real-world scenario, an ADC with a nominal resolution of 12 bits may not always achieve this resolution due to various sources of error, such as noise and nonlinearity. The effective number of bits (ENOB) is a measure of the actual resolution of the ADC, taking into account these errors. It is calculated using the signal-to-noise and distortion ratio (SINAD), which is a measure of the ratio of the signal power to the noise and distortion power.

The ENOB is calculated using the formula: ENOB = (SINAD - 1.76) / 6.02, where SINAD is expressed in decibels (dB). This formula provides a way to estimate the effective resolution of an ADC based on its SINAD.

The ENOB is an important metric in evaluating the performance of an ADC, as it provides a more accurate representation of the converter's resolution than the nominal resolution.

Esempi

• An ADC with a SINAD of 70 dBUsing the formula, ENOB = (70 - 1.76) / 6.02 = 11.23 bits
• An ADC with a SINAD of 60 dBUsing the formula, ENOB = (60 - 1.76) / 6.02 = 9.63 bits
• An ADC with a SINAD of 80 dBUsing the formula, ENOB = (80 - 1.76) / 6.02 = 12.83 bits

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