This paper is concerned with the analysis and design of an adaptive filter governed by an LMS algorithm with finite-bit power-of-two quantization of the error signal. Both the input data and the optimal filter weights...
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This paper is concerned with the analysis and design of an adaptive filter governed by an LMS algorithm with finite-bit power-of-two quantization of the error signal. Both the input data and the optimal filter weights are assumed stationary. An expression of the steady-state error power is derived. According to this expression, the error power is linearly increasing in the step size-mu and exponentially decreasing in the number of quantizer bits B. A practically interesting result is the derivation of a threshold value of B above which the error power is constant versus B. The threshold is a decreasing function of the noise power. Expressions of B and mu that achieve a given tolerable value of the error power with the fastest convergence and the minimum hardware complexity are provided.
A new shape design sensitivity formula for magnetostatic problems is derived analytically employing the material derivative concept in continuum mechanics. In order to express the design sensitivity as a function of s...
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A new shape design sensitivity formula for magnetostatic problems is derived analytically employing the material derivative concept in continuum mechanics. In order to express the design sensitivity as a function of shape variation only, the adjoint variable is defined. Since the formula is expressed as boundary integration of state and adjoint variables over deformed boundary, the boundary element method is employed to evaluate the variables accurately on the boundary. The proposed algorithm is applied to the pole-shape optimization of a quadrupole magnet through which the validity is proved.
A three-dimensional shape optimization algorithm is developed by combining the design sensitivity analysis and the boundary element method. For the design sensitivity analysis, the implicit differentiation is taken to...
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A three-dimensional shape optimization algorithm is developed by combining the design sensitivity analysis and the boundary element method. For the design sensitivity analysis, the implicit differentiation is taken to the boundary integral equation with respect to the design variable. The proposed algorithm is validated by applying it to the pole shape optimization of the three-dimensional electromagnets.
An algorithm, based on Monte Carlo techniques, is presented for the design and analysis of a crystal controlled oscillator. A digital computer simulates the oscillator as its circuit components change in accordance wi...
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An algorithm, based on Monte Carlo techniques, is presented for the design and analysis of a crystal controlled oscillator. A digital computer simulates the oscillator as its circuit components change in accordance with their probability distributions. Selection of the final oscillator design is based on the probability of circuit failure as calculated by the computer. This method should yield improved frequency stability and reduced cost compared with results obtained from conventional design methods.
In top-down circuit design, a principal task is to partition and map design constraints on a normal operating range of a collection of subblocks. This problem is propagated through each hierarchical level until the so...
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In top-down circuit design, a principal task is to partition and map design constraints on a normal operating range of a collection of subblocks. This problem is propagated through each hierarchical level until the solutions for all levels are found. This top-down parameter assignment and instantiation of subblocks may eventually break down at some level due to an unrealizable circuit. Then the process has to be restarted a number of times before a realizable partition can be produced. An application of interval analysis in the design environment is presented to assure in advance that this process will always yield a solution. The presented methodology and corresponding algorithm can be used in hierarchical design strategies. At each hierarchical level, the solution space, if nonempty, is valid for all lower levels and is in agreement with decisions taken earlier in the hierarchy.< >
A method is presented for the limit analysis of indeterminate space trusses utilizing the static equilibrium equation and linear programming techniques. Special emphasis is given to obtaining collapse loads for self-s...
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A method is presented for the limit analysis of indeterminate space trusses utilizing the static equilibrium equation and linear programming techniques. Special emphasis is given to obtaining collapse loads for self-supporting lattice transmission towers. A piece-wise step-by-step linear solution employing the stiffness matrixhas been the usual way of handling this problem. The static equilibrium equation has several advantages over the stiffness matrix equation for limit analysis: a direct solution can be obtained in one step; tension onlymembers can be given zero compression capacities; and spatially unstable joints can be stabilized by assigning zero capacity members to them. A very efficient computer program was written by rewriting the linear programming equality constraints in a condensed form and exploiting its sparsity (zero terms). Example problems with the computer program are discussed to demonstrate the analysis method. Potential application of the general theory to the design problem may have substantial advantages over current methods.
The pattern matching problem remains in survival since past decades and becomes more sophisticated due to exponential increase in size of text databases. An effective deterministic classical algorithm is always expect...
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The pattern matching problem remains in survival since past decades and becomes more sophisticated due to exponential increase in size of text databases. An effective deterministic classical algorithm is always expected to be at least O (N) time. Quantum computations are enough capable of performing exponential operations in single step of execution, so the quantum algorithms are effective. In general, the quantum pattern matching solution is possible in O (root N) time as its design is based on Grover's quantum search algorithm. To our knowledge, quantum algorithms for single pattern matching are available with limitations, and no algorithm has designed for multiple pattern matching. The main objective is to design quantum algorithm for both single and multiple patterns on a processing architecture of quantum random access memory (QuRAM). This gives a significant advantage to process large text databases in an efficient manner. Our complexity analysis justifies that the quantum algorithmic solutions achieve computational speedup over classical methods. We summarize the emergence of quantum-based pattern matching algorithms to process biological applications. The simulation is additionally done to validate and analyze the performance of proposed quantum algorithms. Lastly, we justify that our algorithms outperform the classical and quantum solutions and they are competent for implementing over quantum computer.
This paper considers the use of sensitivity and error analysisalgorithms for combined estimation and control systems to conduct trade-off studies for sensor equipment packages for a simple longitudinal inal motion VT...
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This paper considers the use of sensitivity and error analysisalgorithms for combined estimation and control systems to conduct trade-off studies for sensor equipment packages for a simple longitudinal inal motion VTOL hover controller. Simulation results indicate that in many problems the extra effort expended in model identification ation is justified in order to reduce the sensitivity of the system performance to implementation tolerances. The results of the hover controller design problem demonstrate the use of the algorithms as an aid in design decision making.
The aim of this paper is to discuss the reliability of a new algorithm based on the augmented Lagrangian method (ALM) coupled with the boundary element method (BEM) for design optimization in electromagnetics. These m...
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The aim of this paper is to discuss the reliability of a new algorithm based on the augmented Lagrangian method (ALM) coupled with the boundary element method (BEM) for design optimization in electromagnetics. These methods, implemented as a computer code, have been applied for the solution of electrostatic problems. Two analytical problems are considered and the convergence of the ALM for different starting points has been noted. Also, the algorithm is robust with respect to the number of design variables. Moreover, two electrostatic problems have been solved and the efficiency of the ALM coupled with the BEM has been observed.
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