On the logarithmic property of basic immittance pairs

Robert H. Cordella · IEEE Transactions on Instrumentation and Measurement · 1982

Explains the output of a simple two-element voltage or current dividing circuit (here called a general divider) as being proportional to the logarithm of the input. The general divider's logarithmic property was noted while analyzing a resistive voltage divider. This is extended to show that dividers comprising pairs of passive elements exhibit the logarithmic property and the output can be a current, voltage, or frequency. Applications are discussed in examples; advantages over logarithmic amplifiers log-amps are noted. The phenomenon's simplicity yields several cost saving benefits.

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