Least-significant-bit weight

Tags

• conversion
• A/D–D/A conversion and sampling
• Digital
• Electronics
• physics
• Electronics formula
• physics formula

Detail

Variables

• $f_s,f_{\max},f_N$Hz
• $n$bits
• $V_{\mathrm{FS}}$V
• $\Delta$V
• $\delta$dimensionless
• $t_{\mathrm{on}},T$s.

Conditions

• Ideal converter, band-limited in-range signal.

Conventions

• Hz, V or dimensionless

Related formulas

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  $$V_o=-V_{\mathrm{ref}}\sum_{k=1}^{n}\frac{b_k}{2^k}$$
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  Angular frequency

  $$\omega=2\pi f$$
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  $$H(j\omega)=\frac{1}{1+j\omega RC}$$
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