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・ Logarithmic
・ Logarithmic conformal field theory
・ Logarithmic convolution
・ Logarithmic decrement
・ Logarithmic derivative
・ Logarithmic differentiation
・ Logarithmic distribution
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・ Logarithmic integral function
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・ Logarithmic norm
・ Logarithmic number system
・ Logarithmic pair
Logarithmic resistor ladder
・ Logarithmic scale
・ Logarithmic Schrödinger equation
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・ Logarithmically concave function
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・ Logarithmically convex function
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Logarithmic resistor ladder : ウィキペディア英語版
Logarithmic resistor ladder
A logarithmic resistor ladder is an electronic circuit composed of a series of resistors and switches, designed to create an attenuation from an input to an output signal, where the logarithm of the attenuation ratio is proportional to a digital code word that represents the state of the switches.
The logarithmic behavior of the circuit is its main differentiator in comparison with digital-to-analog converters in general, and traditional R-2R Ladder networks specifically. Logarithmic attenuation is desired in situations where a large dynamic range needs to be handled. The circuit described in this article is applied in audio devices, since human perception of sound level is properly expressed on a logarithmic scale.
== Logarithmic input/output behavior ==
As in digital-to-analog converters, a binary word is applied to the ladder network, whose ''N'' bits are treated as representing an integer value according to the relation:
:\mathrm = \sum_^N s_i \cdot 2^ where s_i represents a value 0 or 1 depending on the state of the ''ith'' switch.
For a conventional DAC or R-2R network, the output signal value (its voltage) would be:
:V_ = a \cdot (\mathrm + b ) \cdot V_ where a and b are design constants and where V_ typically is a constant reference voltage.
(DA-converters that are designed to handle a variable input voltage are
termed multiplying DAC.)
In contrast, the logarithmic ladder network discussed in this article creates a behavior as:
:\log (V_ / V_) = a \cdot (\mathrm + b ) where V_ is a variable input signal.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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