Stochastic finite elements: a spectral approach
Stochastic finite elements: a spectral approach
High-level transformations for minimizing syntactic variances
DAC '93 Proceedings of the 30th international Design Automation Conference
On the Optimality of the Discrete Karhunen--Loève Expansion
SIAM Journal on Control and Optimization
Embedded ISA support for enhanced floating-point to fixed-point ANSI-C compilation
CASES '00 Proceedings of the 2000 international conference on Compilers, architecture, and synthesis for embedded systems
A system-level energy minimization approach using datapath width optimization
ISLPED '01 Proceedings of the 2001 international symposium on Low power electronics and design
A stochastic projection method for fluid flow. I: basic formulation
Journal of Computational Physics
Proceedings of the 40th annual Design Automation Conference
Determining appropriate precisions for signals in fixed-point IIR filters
Proceedings of the 40th annual Design Automation Conference
FRIDGE: An Interactive Code Generation Environment for HW/SW CoDesign
ICASSP '97 Proceedings of the 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '97) -Volume 1 - Volume 1
An analytical approach for dynamic range estimation
Proceedings of the 41st annual Design Automation Conference
Moment-Based Power Estimation in Very Deep Submicron Technologies
Proceedings of the 2003 IEEE/ACM international conference on Computer-aided design
Time Series Analysis and Its Applications (Springer Texts in Statistics)
Time Series Analysis and Its Applications (Springer Texts in Statistics)
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 04
Combined word-length optimization and high-level synthesis of digital signal processing systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Bitwidth cognizant architecture synthesis of custom hardware accelerators
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
A non-parametric approach for dynamic range estimation of nonlinear systems
Proceedings of the 42nd annual Design Automation Conference
A unified framework for statistical timing analysis with coupling and multiple input switching
ICCAD '05 Proceedings of the 2005 IEEE/ACM International conference on Computer-aided design
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It has been widely recognized that the dynamic range information of an application can be exploited to reduce the datapath bitwidth of either processors or ASICs, and therefore the overall circuit area, delay and power consumption. While recent advances in analytical dynamic range estimation can deliver results accurate enough to account for both spatial and temporal correlation, the reported methods are only valid for linear systems. In this paper, we use a powerful mathematical tool, called polynomial chaos, which enables not only the orthogonal decomposition of random processes, but also the propagation of random processes through nonlinear systems with difficult constructs such as multiplications, divisions and conditionals. We show that when applied to interesting nonlinear applications such as adaptive filters, polynomial filters and rational filters, this method can produce complete, accurate statistics of each internal variable, thereby allowing the synthesis of bitwidth with the desired tradeoff between circuit performance and signal-to-noise ratio.