Improved Range Analysis in Fixed-Point Polynomial Data-Path

Grailoo, Mahdieh; Forouzandeh, Behjat

doi:10.1109/tcad.2017.2666607

Cited by 6 publications

(4 citation statements)

References 9 publications

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“…In this paper, a Buck and a Full-bridge converters' models are proposed, which can be implemented in FPGAs to compare different design alternatives for both FlP and FxP numerical formats. Word length optimization for the FxP format has been studied to avoid overflows, optimize the hardware, and keep the accuracy [46,47]. The main contribution of this paper is the comparison of the synthesis results obtained by different design approaches for implementing the same model, regardless of the used signal format, to reveal the differences between several design alternatives.…”

Section: Regarding Resolution Sp Flp Should Have Enough Resolution For Most Applicationsmentioning

confidence: 99%

Comparison of Different Design Alternatives for Hardware-in-the-Loop of Power Converters

et al. 2021

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This paper aims to compare different design alternatives of hardware-in-the-loop (HIL) for emulating power converters in Field Programmable Gate Arrays (FPGAs). It proposes various numerical formats (fixed and floating-point) and different approaches (pure VHSIC Hardware Description Language (VHDL), Intellectual Properties (IPs), automated MATLAB HDL code, and High-Level Synthesis (HLS)) to design power converters. Although the proposed models are simple power electronics HIL systems, the idea can be extended to any HIL system. This study compares the design effort of different coding methods and numerical formats considering possible synthesis tools (Precision and Vivado), and it comprises an analytical discussion in terms of area and speed. The different models are synthesized as ad-hoc modules in general-purpose FPGAs, but also using the NI myRIO device as an example of a commercial tool capable of implementing HIL models. The comparison confirms that the optimum design alternative must be chosen based on the application (complexity, frequency, etc.) and designers’ constraints, such as available area, coding expertise, and design effort.

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Section: Regarding Resolution Sp Flp Should Have Enough Resolution For Most Applicationsmentioning

confidence: 99%

Comparison of Different Design Alternatives for Hardware-in-the-Loop of Power Converters

et al. 2021

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“…In the flattening-based method, the window size and the resolution are considered ( , ε) = (10,1). As illustrated in the table, the ranges are under-estimated in all benchmarks.…”

Section: Resultsmentioning

confidence: 99%

“…Static analysis, however, uses static characteristics of the inputs which are propagated through the system. So, it has recently gained much interest due to safety, no data dependency, and higher efficiency [1][2][3][4][5][6][7][8]. In static analysis, one of the most significant categories is self-validated numerical (SVN) methods.…”

Section: Related Workmentioning

confidence: 99%

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AIOSC: Analytical Integer Word-length Optimization Based on System Characteristics for Recursive Fixed-Point Linear Time Invariant Systems

Grailoo

Alizadeh

2020

IJE

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The integer word-length optimization known as range analysis (RA) of the fixed-point designs is a challenging problem in high level synthesis and optimization of linear-time-invariant (LTI) systems. The analysis has significant effects on the resource usage, accuracy and efficiency of the final implementation, as well as the optimization time. Conventional methods in recursive LTI systems suffer from inaccurate range estimations due to dependency to symmetry or non-symmetry of the input range over zero, and involvement with parameter adjustments. The under estimations endanger the range safety, and generate a great error due to overflows. On the other hand, the over estimations increase the hardware costs, as well as weaken the signal, if the over estimated ranges are utilized in down-scaling. Therefore, in this paper, we propose an efficient, safe and more precise RA method to measure the range of both recursive and non-recursive fixed-point LTI systems through analytical formulation. Our main idea is to obtain the input sequences for which variables in the LTI system would be maximum and minimum. By applying these sequences to the system, the upper and lower bounds of the intended variables are obtained as the range. The proposed method enhances the bitwidths accuracy more than 34% in average in comparison with the state-of-the-arts. The results also show about 37% and 6% savings in the area and delay, respectively.

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Precision analysis with analytical bit‐width optimisation process for linear circuits with feedbacks

Lamini

Tagzout²,

Belbachir

et al. 2018

IET Circuits, Devices & Systems

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Finding the best possible word length to accuracy trade off seems to be an obvious design task. However, the literature and carful design reviews show that word lengths are often overestimated to put the data accuracy at the safe side. This study proposes a mathematical process to balance that trade off. It describes an analytical optimisation technique that considers every interconnection and it shows clear improvement with respect to published results. To allow reproducibility of their work, detailed procedures are provided. Implementation results are presented for different configurations of infinite impulse response filters. More, the impact of the proposed bit-width optimisation on the filter poles and zeros is provided to show the effectiveness of the proposed solution. Their solution provides overall improvement going up to 17% of the circuit's area with respect to existing methods. The proposed technique for uniform fractional bits allocation runs in a negligible time independently of the targeted accuracy.

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Improved Range Analysis in Fixed-Point Polynomial Data-Path

Cited by 6 publications

References 9 publications

Comparison of Different Design Alternatives for Hardware-in-the-Loop of Power Converters

Comparison of Different Design Alternatives for Hardware-in-the-Loop of Power Converters

AIOSC: Analytical Integer Word-length Optimization Based on System Characteristics for Recursive Fixed-Point Linear Time Invariant Systems

Precision analysis with analytical bit‐width optimisation process for linear circuits with feedbacks

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