tailieunhanh - Advances in Analog Circuits Part 5

Tham khảo tài liệu 'advances in analog circuits part 5', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Part 2 Design Issues 5 Parallel Preconditioned Hierarchical Harmonic Balance for Analog and RF Circuit Simulation Peng Li1 and Wei Dong2 -Department of Electrical and Computer Engineering Texas A M University 2 Texas Instruments USA 1. Introduction Circuit simulation is a fundamental enabler for the design of integrated circuits. As the design complexity increases there has been a long lasting interest in speeding up transient circuit simulation using paralellization Dong et al. 2008 Dong Li 2009b c Reichelt et al. 1993 Wever et al. 1996 Ye et al. 2008 . On the other hand Harmonic Balance HB as a general frequency-domain simulation method has been developed to directly compute the steady-state solutions of nonlinear circuits with a periodic or quasi-periodic response Kundert et al. 1990 . While being algorithmically efficient densely coupling nonlinear equations in the HB problem formulation still leads to computational challenges. As such developing parallel harmonic balance approaches is very meaningful. Various parallel harmonic balance techniques have been proposed in the past . Rhodes Perlman 1997 Rhodes Gerasoulis 1999 Rhodes Honkala 1999 Rhodes Gerasoulis 2000 . In Rhodes Perlman 1997 a circuit is partitioned into linear and nonlinear portions and the solution of the linear portion is parallelized this approach is beneficial if the linear portion of the circuit analysis dominates the overall runtime. This approach has been extended in Rhodes Gerasoulis 1999 2000 by exposing potential parallelism in the form of a directed acyclic graph. In Rhodes Honkala 1999 an implementation of HB analysis on shared memory multicomputers has been reported where the parallel task allocation and scheduling are applied to device model evaluation matrix-vector products and the standard block-diagonal BD preconditioner Feldmann et al. 1996 . In the literature parallel matrix computation and parallel fast fourier transform inverse fast fourier transform FFT IFFT have also been

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