Theoretical Analysis of Lp Mean Comparators
نویسنده
چکیده
In certain signal processing applications there is a need for fast implementations of sorting networks. Digital implementations of sorting networks that rely on a Digital Signal Processor core are not as efficient as their analog counterparts. This paper deals with theLp comparators for which simple analog implementations exist that employ operational amplifier-based adders, logarithmic and antilogarithmic multipliers. From a statistical point of view, the Lp comparators are based on the nonlinear means. Their probability density function and the first and second-order moments are derived for independent uniformly distributed inputs. Lp comparators provide estimates of the minimum and maximum of their inputs. Therefore, they introduce errors. A proper approach to compensate for the estimation errors is proposed.
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On the Theoretical properties of Lp mean comparators
Digital implementations of sorting networks that rely on a Digital Signal Processor core are not as eecient as their analog counterparts. This paper deals with the L p comparators for which simple analog implementations exist. From a statistical point of view, the L p compara-tors are based on the nonlinear means. Their probability density function and the rst and second-order moments are deriv...
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