2012
DOI: 10.1007/s10470-011-9820-5
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Analysis and design of the true piecewise approximation logarithmic amplifiers

Abstract: This paper describes the theory of operation, mathematical analysis, modeling and circuit design of the true piecewise approximation logarithmic amplifiers. These logarithmic amplifiers can be realized by the series linear limit and parallel summation methods. Both of these methods are discussed in this paper and their transfer functions are extracted. In addition, making use of the proposed formulas, a new mathematical approach is proposed for improving the characteristics of the parallel summation method. Al… Show more

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Cited by 13 publications
(3 citation statements)
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References 24 publications
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“…Logarithmic characteristics [ 16 ]: In KPI time series, there are many outliers related to zero value. When the relevant data of the system suddenly become zero, there is likely to be an exception.…”
Section: Time Series Anomaly Detection Modelmentioning
confidence: 99%
“…Logarithmic characteristics [ 16 ]: In KPI time series, there are many outliers related to zero value. When the relevant data of the system suddenly become zero, there is likely to be an exception.…”
Section: Time Series Anomaly Detection Modelmentioning
confidence: 99%
“…Each LLA is a non-linear amplifier with two output voltages [ 35 ], namely, a pseudo-logarithmic output, V Log , which represents a (pseudo) logarithmic conversion of the corresponding input signal, and a limited output, V LA , which varies linearly with the input voltage (linear operation) for sufficiently low input levels and is a saturated signal for higher input levels, which represent most of the amplifier input dynamic range. To achieve the necessary input dynamic range, the LLA is implemented with a successive-detection architecture, specifically using a parallel-summation technique [ 36 ].…”
Section: Methodsmentioning
confidence: 99%
“…The dynamic range of amplifier is (A + 1) N . Equation (8) can be simplified as : centercenterVo=Kylog10ViKx1emcenterKy=VLlog10A+11emcenterKx=VLAA+1N+1A…”
Section: Circuit Designmentioning
confidence: 99%