Formal Verification of Analog and Mixed Signal Designs in Mathematica

Zaki, Mohamed H.; Al-Sammane, Ghiath; Tahar, Sofiène

doi:10.1007/978-3-540-72586-2_37

Cited by 3 publications

(2 citation statements)

References 4 publications

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“…In [4] and [20], Zaki et al used symbolic simulation and SRE to verify properties of continuous Analog and Mixed Signal (AMS) systems. They show that the speed of verification and the coverage of the verification can be enhanced using their method.…”

Section: Related Workmentioning

confidence: 99%

On the Verification of a WiMax Design Using Symbolic Simulation

Al-Akhras¹,

Tahar²,

Nicolescu

et al. 2013

Electron. Proc. Theor. Comput. Sci.

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In top-down multi-level design methodologies, design descriptions at higher levels of abstraction are incrementally refined to the final realizations. Simulation based techniques have traditionally been used to verify that such model refinements do not change the design functionality. Unfortunately, with computer simulations it is not possible to completely check that a design transformation is correct in a reasonable amount of time, as the number of test patterns required to do so increase exponentially with the number of system state variables. In this paper, we propose a methodology for the verification of conformance of models generated at higher levels of abstraction in the design process to the design specifications. We model the system behavior using sequence of recurrence equations. We then use symbolic simulation together with equivalence checking and property checking techniques for design verification. Using our proposed method, we have verified the equivalence of three WiMax system models at different levels of design abstraction, and the correctness of various system properties on those models. Our symbolic modeling and verification experiments show that the proposed verification methodology provides performance advantage over its numerical counterpart

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Section: Related Workmentioning

confidence: 99%

On the Verification of a WiMax Design Using Symbolic Simulation

Al-Akhras¹,

Tahar²,

Nicolescu

et al. 2013

Electron. Proc. Theor. Comput. Sci.

Self Cite

View full text Add to dashboard Cite

show abstract

“…In [2], [23], the authors propose an induction verification approach for AMS designs using symbolic methods. The procedure is iterative in the sense that if the proof is obtained, then the property is verified.…”

Section: Related Workmentioning

confidence: 99%

Combining Symbolic Simulation and Interval Arithmetic for the Verification of AMS Designs

Zaki

Al-Sammane

Tahar

et al. 2007

Formal Methods in Computer Aided Design (FMCAD'07)

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Abstract-Analog and mixed signal (AMS) designs are important integrated circuits that are usually needed at the interface between the electronic system and the real world. Recently, several formal techniques have been introduced for AMS verification. In this paper, we propose a difference equations based bounded model checking approach for AMS systems. We define model checking using a combined system of difference equations for both the analog and digital parts, where the state space exploration algorithm is handled with Taylor approximations over interval domains. We illustrate our approach on the verification of several AMS designs including ∆Σ modulator and oscillator circuits.

show abstract

Combining Symbolic Simulation and Interval Arithmetic for the Verification of AMS Designs

Zaki

Al-Sammane

Tahar

et al. 2007

Formal Methods in Computer Aided Design (FMCAD'07)

Self Cite

View full text Add to dashboard Cite

Analog and mixed signal (AMS) designs are important integrated circuits that are usually needed at the interface between the electronic system and the real world. Recently, several formal techniques have been introduced for AMS verification. In this paper, we propose a difference equations based bounded model checking approach for AMS systems. We define model checking using a combined system of difference equations for both the analog and digital parts, where the state space exploration algorithm is handled with Taylor approximations over interval domains. We illustrate our approach on the verification of several AMS designs including ∆Σ modulator and oscillator circuits.

show abstract

Formal Verification of Analog and Mixed Signal Designs in Mathematica

Cited by 3 publications

References 4 publications

On the Verification of a WiMax Design Using Symbolic Simulation

On the Verification of a WiMax Design Using Symbolic Simulation

Combining Symbolic Simulation and Interval Arithmetic for the Verification of AMS Designs

Combining Symbolic Simulation and Interval Arithmetic for the Verification of AMS Designs

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