By Ramachandran Vaidyanathan
Dynamic Reconfiguration: Architectures and Algorithms bargains a finished remedy of dynamically reconfigurable desktop architectures and algorithms for them. The insurance is extensive ranging from basic algorithmic thoughts, ranging throughout algorithms for a big selection of difficulties and purposes, to simulations among versions. The presentation employs a unmarried reconfigurable version (the reconfigurable mesh) for many algorithms, to let the reader to distill key principles with out the bulky info of a myriad of versions. as well as algorithms, the publication discusses issues that supply a greater realizing of dynamic reconfiguration reminiscent of scalability and computational strength, and more moderen advances corresponding to optical types, run-time reconfiguration (on FPGA and similar platforms), and imposing dynamic reconfiguration. The publication, that includes many examples and a wide set of workouts, is a wonderful textbook or reference for a graduate path. it's also an invaluable connection with researchers and method builders within the quarter.
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Extra resources for Dynamic Reconfiguration: Architectures and Algorithms
For completeness, we state these results as the following lemmas, leaving their proofs as exercises. 7 The prefix sums of N bits can be computed on an (N+1)×N R-Mesh in O(1) time. Initially, each processor of row 0 holds an input bit. 8 For any m > 1, the modulo m prefix sums of N bits can be computed on an (m + 1) × 2N R-Mesh in O(1) time. Initially, each even-indexed processor of row 0 holds an input bit. 7 by establishing that for any an (m + 1) × 2N R-Mesh can find the prefix sums of N bits in time.
One approach is to use different algorithms for different relative sizes of the problem and model instances. A better approach is to design the algorithm to accelerate its efficiency as it transitions from the com putational advantages of a large model instance to the more modest resource reuse ability of a small instance. The ability of the algorithm to adapt to different problem and model instance sizes is called its de gree of scalability. A designer of algorithms for reconfigurable models must therefore keep an eye on its degree of scalability, in addition to conventional measures such as speed and efficiency.
For constant and we have the following recurrence. 19). 4 give the following result. 10 For puted on an R-Mesh in of row 0 holds an input bit. the prefix sums of N bits can be comtime. Initially, each processor Efficiency Acceleration. Many R-Mesh algorithms trade efficiency for running time. Often the cost of a small decrease in time is a dis proportionately large increase in the size of the R-Mesh. In these situa tions, a small increase in time buys a much larger savings in the R-Mesh size.