Electrical Engineering › Section N · Decibels, filters, and Bode plots › Topic N.1

Logarithms and decibels

Signal levels in electronics range from microvolts to kilovolts, and gains pile up stage after stage. The decibel, built on the base-10 logarithm, turns those huge ratios into small numbers that simply add.

In this topic

  • Why engineers count in logarithms
  • Logarithms in two bases
  • Rules that make logarithms useful
  • Logarithmic scales
  • The bel and the decibel
  • Voltage and current ratios
  • Worked example: an amplifier's gain in dB
  • Absolute levels: dBm and its relatives
  • Worked example: a cascaded signal chain
  • Decibels and hearing
  • Common mistakes to avoid
  • Key takeaways

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