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Input Quantization Noise Analysis

Module by: Douglas L. Jones. E-mail the author

Summary: Analog-to-digital converters introduce quantization noise due to their finite wordlength. The signal-to-noise ratio (SNR) increases by 6 dB per bit.

All practical analog-to-digital converters (A/D) must quantize the input data. This can be modeled as an ideal sampler followed by a BB-bit quantizer.

Figure 1
Figure 1 (fig1InputQuant.png)
The signal-to-noise ratio (SNR) of an A/D is
SNR=10⁢log P x P n =10⁢log P x −10⁢log Δ B 212=10⁢log P x +4.77+6.02⁢B SNR 10 10 P x P n 10 10 P x 10 10 Δ B 2 12 10 10 P x 4.77 6.02 B (1)
where P x P x is the power in the signal and P n P n is the power of the quantization noise, which equals its variance if it has a zero mean. The SNR increases by 6dB with each additional bit.

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Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

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