LLVM: A Compilation Framework for Lifelong Program Analysis & Transformation
Proceedings of the international symposium on Code generation and optimization: feedback-directed and runtime optimization
Automated fixed-point data-type optimization tool for signal processing and communication systems
Proceedings of the 41st annual Design Automation Conference
On the Fixed-Point Accuracy Analysis and Optimization of FFT Units with CORDIC Multipliers
ARITH '11 Proceedings of the 2011 IEEE 20th Symposium on Computer Arithmetic
Simulation-based word-length optimization method for fixed-pointdigital signal processing systems
IEEE Transactions on Signal Processing
Combined word-length optimization and high-level synthesis of digital signal processing systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Wordlength optimization for linear digital signal processing
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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Fixed-point format is essential to most efficient Digital Signal Processing (DSP) implementations. The conversion of an algorithm specification to fixed-point precision targets the minimization of the implementation cost while guaranteeing a minimal processing accuracy. However, measuring such processing accuracy can be extremely time consuming and lead to long design cycles. In this paper, we study reference approaches to measure fixed-point errors of Linear Time-Invariant (LTI) systems without feedback. Unsurprisingly, we find the existing analytical approach significantly faster than a straightforward simulation-based estimation. However, we also show that such analytical approach can incur high estimation errors for some particular bitwidth configurations. Accordingly, we propose a new hybrid approach, which is able to reduce by up to 4 times the error of the analytical estimation, while still being more than 10 times faster than the simulation-based estimation.