A systematic framework for mapping a class of iterative algorithms onto processor array architectures is presented. The iterative algorithm is directly mapped on the array without the requirement of transforming it in...
详细信息
A systematic framework for mapping a class of iterative algorithms onto processor array architectures is presented. The iterative algorithm is directly mapped on the array without the requirement of transforming it into any intermediate form, such a uniform recurrent equation (URE). The principles of Lamport's coordinate method are used. The important subclass of algorithms known as weak single assignment codes (WSACs) is treated in an optimal way. Due to the structure of the algorithm and/or the multidimensional mapping, the resulting architectures can be either regular arrays (RAs) or piecewise regular arrays (PRAs).< >
Carrier-blind and non-data-aided (NDA) feedforward solutions for symbol timing recovery are particularly important for initial acquisition in burst modems; the Oerder and Meyr (O&M) algorithm is perhaps the most p...
详细信息
Carrier-blind and non-data-aided (NDA) feedforward solutions for symbol timing recovery are particularly important for initial acquisition in burst modems; the Oerder and Meyr (O&M) algorithm is perhaps the most prominent example in this respect. Since usually operated with an oversampling rate of four, alternatives using only two samples per symbol have been suggested in the open literature. On the other hand, Moeneclaey and Batsele introduced an error detector for blind NDA recovery in feedback loops, based on only one sample per symbol. In the current paper, it is shown that this approach can be successfully applied to a feedforward solution. In this context, two estimator variants are developed exhibiting no self-noise effect for M-ary PSK schemes, whereas it turns out that this does not hold true for nonconstant modulus constellations.
Modern VLSI manufacturing technology has kept shrinking down to the nanoscale level with a very fast trend. Integration with the advanced nano-technology now makes it possible to realize advanced parallel iterative al...
详细信息
ISBN:
(纸本)9781424445219
Modern VLSI manufacturing technology has kept shrinking down to the nanoscale level with a very fast trend. Integration with the advanced nano-technology now makes it possible to realize advanced parallel iterative algorithms directly which was almost impossible 10 years ago. In this paper, we want to discuss the influences of evolving VLSI technologies for iterative algorithms and present design strategies from an algorithmic and architectural point of view. We can simplify the parallel implementation of the iterative algorithm (i.e., processor elements of the multiprocessor array) in any way as long as the convergence is guaranteed. However, the modification of the algorithm (processors) usually increases the number of required iterations which also means that the switch activity of interconnects is increasing. We implemented a 3times3 Jacobi EVD array with the mu-CORDIC PE in both 0.18 mum and 45 nm technologies in order to further study the trade-off between the performance/complexity of processors and the load/throughput of interconnects. Our experimental results show that using the mu-CORDIC PE is beneficial concerning the design criteria since it yields smaller chip area, faster overall computation timing and less energy consumption per operation than the full CORDIC PE.
Summary form only given. Signal reconstruction from a limited set of linear measurements of a signal and prior knowledge of signal characteristics expressed as convex constraint sets were treated. The problem was pose...
详细信息
Summary form only given. Signal reconstruction from a limited set of linear measurements of a signal and prior knowledge of signal characteristics expressed as convex constraint sets were treated. The problem was posed in Hilbert space as the determination of the minimum norm element in the intersection of convex constraint sets and a linear variety with finite codimension. A finite parameterization for the optimal solution was derived, and the optimal parameter vector was shown to satisfy a system of nonlinear equations in a finite-dimensional Euclidean space. iterative algorithms for determining the parameters were obtained, and convergence was shown to be quadratic for many applications. The results were applied to example multidimensional reconstruction problems.< >
Presents the first parallel algorithms for solving row-continuous or generalized birth-death (GBD) Markov chains on distributed memory MIMD multiprocessors. These systems are characterized by very large transition pro...
详细信息
Presents the first parallel algorithms for solving row-continuous or generalized birth-death (GBD) Markov chains on distributed memory MIMD multiprocessors. These systems are characterized by very large transition probability matrices, decomposable in heterogeneous tridiagonal blocks. The parallelization of three aggregation/disaggregation iterative methods is carried out by a unique framework that keeps into account the special matrix structure. Great effort has been also devoted to define a general algorithm for approximating the optimum workload. Various computational experiments show that Vantilborgh's (1985) method is the fastest of the three algorithms on any data set dimension.< >
iterative tomographic algorithms have been applied to the reconstruction of a two-dimensional object with internal defects from its projections. Nine distinct algorithms with varying numbers of projections and project...
详细信息
iterative tomographic algorithms have been applied to the reconstruction of a two-dimensional object with internal defects from its projections. Nine distinct algorithms with varying numbers of projections and projection angles have been considered. Each projection of the solid object is interpreted as a path integral of the light-sensitive property of the object in the appropriate direction. The integrals are evaluated numerically and are assumed to represent exact data. Errors in reconstruction are defined as the statistics of difference between original and reconstructed objects and are used to compare one algorithm with respect to another. The algorithms used in this work can be classified broadly into three groups, namely the additive algebraic reconstruction technique (ART), the multiplicative algebraic reconstruction technique (MART) and the maximization reconstruction technique (MRT). Additive ART shows a systematic convergence with respect to the number of projections and the value of the relaxation parameter. MART algorithms produce less error at convergence compared to additive ART but converge only at small values of the relaxation parameter. The MRT algorithm shows an intermediate performance when compared to ART and MART. An increasing noise level in the projection data increases the error in the reconstructed field. The maximum and RMS errors are highest in ART and lowest in MART for given projection data. Increasing noise levels in the projection data decrease the convergence rates. For all algorithms, a 20% noise level is seen as an upper limit, beyond which the reconstructed field is barely recognizable. (C) 1997 Published by Elsevier Science Ltd. All rights reserved.
The authors address the use of DP (dynamic precision) in fixed point iterative numerical algorithms. These algorithms are used in a wide range of numerically intensive scientific applications. One such algorithm, Mull...
详细信息
The authors address the use of DP (dynamic precision) in fixed point iterative numerical algorithms. These algorithms are used in a wide range of numerically intensive scientific applications. One such algorithm, Muller's method, detects complex roots of an arbitrary function. This algorithm was implemented in DP on various architectures, including a MasPar MP-1 massively parallel processor and a Cray Y-MP vector processor. The results show that the use of DP can lead to a significant speedup of iterative algorithms on multiple-range architectures.< >
A discrete model for radar imaging is developed, and, based on this model, the maximum entropy algorithm is adapted to radar imaging. Although such iterative algorithms are usually time-consuming, it is shown that, if...
详细信息
A discrete model for radar imaging is developed, and, based on this model, the maximum entropy algorithm is adapted to radar imaging. Although such iterative algorithms are usually time-consuming, it is shown that, if the algorithms are appropriately simplified, it is possible to realize them even in real time. The efficiency of iterative algorithms is shown through computer simulations.< >
Reconstruction artifacts in cone beam tomography are studied for filtered backprojection (Feldkamp) and iterative EM algorithms. The filtered backprojection algorithm uses a voxel-driven, interpolated backprojection t...
详细信息
Reconstruction artifacts in cone beam tomography are studied for filtered backprojection (Feldkamp) and iterative EM algorithms. The filtered backprojection algorithm uses a voxel-driven, interpolated backprojection to reconstruct the cone beam data, whereas the iterative EM algorithm performs ray-driven projection and backprojection operations for each iteration. Two weighting schemes for the projection and backprojection operations in the EM algorithm are studied. One weights each voxel by the length of the ray through the voxel and the other equates the value of a voxel to the functional value of the midpoint of the line intersecting the voxel, which is obtained by interpolating between eight neighboring voxels. Cone beam reconstruction artifacts such as rings, bright vertical extremities, and slice-to-slice cross-talk are not found with parallel beam and fan beam geometries. When using filtered backprojection and iterative EM algorithms, the line-length weighting is susceptible to ring artifacts which are improved by using interpolated projector-backprojectors.< >
Imagery data acquired in practice to support tactical surveillance and tracking missions in hostile environments typically suffer from a variety of degradations making it essential to subject the data to digital postp...
详细信息
Imagery data acquired in practice to support tactical surveillance and tracking missions in hostile environments typically suffer from a variety of degradations making it essential to subject the data to digital postprocessing aimed at restoration and superresolution before they can be used for any image exploitation tasks (visualization, target detection and characterization, etc.). A number of novel iterative techniques for resolution enhancement are presently being developed, with statistical optimization and set-theoretic estimation offering two popular approaches for algorithm design. The challenges posed by the processing needs of tactical imagery data often require greater capabilities than what the existing algorithms can offer, however, and typically require more enhanced procedures to achieve satisfactory restoration and superresolution. We outline three such enhancements: parallel projection implementation with adaptive relaxation, use of scene-derived information for constraint set design, and a hybrid statistical and set-theoretic estimation procedure. The restoration and superresolution performance of an iterative algorithm that incorporates these enhancements is illustrated by application to tactical imagery data [images acquired from state-of-the-art synthetic aperture radar (SAR) and passive millimeter-wave (PMMW) sensors]. (C) 2004 Society of Photo-optical Instrumentation Engineers.
暂无评论