We consider the problem of minimising the number of measurements that sensors report when they are tracking dynamic boundaries or contours. Toward this, we consider spatiotemporal model for the evolution of a dynamic boundary where the y-coordinates are assumed to vary like correlated Brownian motion with drift. Sensors sample the points on the contour and when queried, they report the y-coordinate as measure by them and also the some samples estimates of the model parameters between the querying instants. Using the estimates of the model parameters, the sink interpolates the contour samples in time. For a time t, the estimates and the measured values from the queries is used in a non parametric regression to interpolate in space. The sensors are queried when the confidence in the estimate is below a specified thereshold. The performance of this estimation algorithm is compared with the case when the estimation algorithm does not assume the correlations spatial between the samples on the contour.
Traditional digital circuits use binary logic for implementation which requires more number of data lines to carry information. In contrast to binary, multiple-valued logic (MVL), digital circuits require less number of data lines to represent information. MVL uses more than two levels to represent a number; thereby reducing the number of interconnects. One of its kind is ternary logic, (known as radix-3 system) and uses three different voltage levels, whereas the other quaternary logic (radix-4 system) uses four different voltage levels to represent a number. Various digital circuits are implemented using MVL which potentially reduces the chip area, power consumption, and propagation delay. This article discusses about fundamental concepts of ternary, quaternary system and reviews some of arithmetic and logic circuits using ternary and quaternary logic. This paper also presents different methodologies used to implement arithmetic and logic operations using MVL. It is found that, due to the effective utilization of interconnects, MVL digital circuits provide better performance over binary digital circuits in terms of area, power, and delay.
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