Statistical analysis of a fast algorithm for frequency estimation is presented. Details of how the analysis was derived with the aid of a symbolic algebra software package, Maple, are given, and some issues involved i...
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Statistical analysis of a fast algorithm for frequency estimation is presented. Details of how the analysis was derived with the aid of a symbolic algebra software package, Maple, are given, and some issues involved in the use of symbolic algebra packages in signal processing research are discussed.< >
The authors develop a path metric for sequential search based on the linear model. The metric forms the heart of an edge-linking algorithm that combines edge elements enhanced by an optimal filter. From a starting nod...
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The authors develop a path metric for sequential search based on the linear model. The metric forms the heart of an edge-linking algorithm that combines edge elements enhanced by an optimal filter. From a starting node, transitions are made to the goal nodes by a maximum likelihood metric. This metric requires only local calculations on the search space and its use in edge linking provides more accurate results than other linking techniques.< >
The problem of using the idle cycles of a number of high-performance workstations, interconnected by a high-speed network, for solving computationally intensive tasks is discussed. The classes of distributed applicati...
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The problem of using the idle cycles of a number of high-performance workstations, interconnected by a high-speed network, for solving computationally intensive tasks is discussed. The classes of distributed applications examined require some form of synchronization among the sub-tasks, hence the need for coscheduling to guarantee that sub-tasks start at the same time and execute at the same pace on a group of workstations. A model of the system that allows the definition of an objective function to be maximized is presented. Then a quadratic time and linear space algorithm is derived for computing the optimal coscheduling.< >
The convergence behavior of type-0 through type-3 stack filters is investigated. It is shown that stack filters of type-0 through type-2 all possess the convergence property; that is, they filter any input signal to a...
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The convergence behavior of type-0 through type-3 stack filters is investigated. It is shown that stack filters of type-0 through type-2 all possess the convergence property; that is, they filter any input signal to a root after consecutive passes of the filter under any appending strategy. A counterexample is given to show that not all type-3 stack filters have this convergence property. The rate of convergence for convergent stack filters is also shown. It is shown that stack filters of type-0 will take at most a single pass to filter any input signal to a root. The rate of convergence of type-1 and type-2 stack filters is shown to be linear in the length of the input signal.< >
We give a characterization for the intractability of hyperelliptic discrete logarithm problem from a viewpoint of computational complexity theory. It is shown that the language of which complexity is equivalent to tha...
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A critical component of any parallelprocessing system is the interconnection network that provides communications among the system's processors and memories. The data manipulator (gamma) network family is an impo...
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A critical component of any parallelprocessing system is the interconnection network that provides communications among the system's processors and memories. The data manipulator (gamma) network family is an important class of multistage interconnection networks that is being studied by various researchers. One interesting property of the data manipulator network family is the existence of multiple paths through the network for most source/ destination pairs. The condition that must be present to have disjoint paths through the network for a given source/ destination pair is shown, where disjoint paths are multiple paths with no links in common. It is derived that the maximum number of disjoint paths for any source/destination pair is two and a method for finding the routing tags that specify these paths is given. For source/destination pairs that have disjoint paths, a single fault cannot prevent communication between that source/ destination pair. The effect of a fault in a given stage of the network on the number of source/destination pairs that can be connected is also discussed. All results are proven mathematically.
We address the problem of reconstructing a smooth curve from sparse and noisy information that is invariant to the choice of the coordinate system. Tikhonov regularization is used to form a well-posed mathematical pro...
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We address the problem of reconstructing a smooth curve from sparse and noisy information that is invariant to the choice of the coordinate system. Tikhonov regularization is used to form a well-posed mathematical problem statement, and conditions for an invariant reconstruction are given. The resulting functional minimization problem is shown to be nonconvex. Approximations to the invariant functional are often used to form a convex problem that can be solved efficiently. Two common approximations, those of cubic and weighted cubic splines, are detailed, and examples are given to show that the approximations are often invalid. To form a valid approximation to the invariant functional we propose a two-step algorithm. The first step forms a piecewise-linear curve, which is invariant to the coordinate system. This piecewise-linear curve is then used to construct a parameterization of the curve for which we can make a valid approximation to the invariant functional. Examples are given to demonstrate the effectiveness of the algorithm, and two example applications for which the invariant property is important are given.
The use of star graphs as a viable interconnection scheme for parallelcomputers has been examined by a number of authors. An attractive feature of this class of graphs is that it has sublogarithmic diameter and has a...
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Experimentation aimed at determining the potential benefit of mixed-mode SIMD/MIMD parallel architectures is reported. The experimentation is based on timing measurements made on the PASM system prototype at Purdue ut...
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(纸本)9780897914123
Experimentation aimed at determining the potential benefit of mixed-mode SIMD/MIMD parallel architectures is reported. The experimentation is based on timing measurements made on the PASM system prototype at Purdue utilizing carefully coded synthetic variations of a well-known algorithm. The synthetic algorithms used to measure and evaluate this system were based on bitonic sorting of sequences stored in the processing elements. This computation was mapped to both the SIMD and MIMD modes of parallelism, as well as two hybrids of the SIMD and MIMD modes. The computations were coded in these four ways and experiments were performed that explore the trade-offs among them. The results of these experiments are presented and are discussed with special consideration of the effects of the system's architecture. The goal is to (as much as possible) obtain implementation independent analyses of the attributes of mixed-mode parallelprocessing with respect to the computational characteristics of the application being examined. The results are used to gain insight into the impact of computation mode on synchronization and data-conditional aspects of system performance.
Experimentation aimed at determining the potential benefit of mixed-mode SIMD/MIMD (single instruction, multiple data/multiple instruction, multiple data) parallel architectures is reported. The experimentation is bas...
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Experimentation aimed at determining the potential benefit of mixed-mode SIMD/MIMD (single instruction, multiple data/multiple instruction, multiple data) parallel architectures is reported. The experimentation is based on timing measurements made on the PASM (Partitionable SIMD/MIMD) system prototype utilizing carefully coded synthetic variations of a well-known algorithm. The synthetic algorithms used to measure and evaluate this system were based on bitonic sorting of sequences stored in the processing elements. This computation was mapped to both the hybrids of the SIMD and MIMD modes. The computations were coded in these four ways and experiments were performed that explore the tradeoffs among them. The results of these experiments are presented and discussed, with special consideration of the effects of the system's architecture. The goal is to obtain implementation-independent analyses of the attributes of mixed-mode parallelprocessing with respect to the computational characteristics of the application being examined.< >
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