Improved design of digital filters satisfying a combined loss and delay specification

Lawson, S.S.; Wicks, T.

doi:10.1049/ip-g-2.1993.0036

Cited by 4 publications

(2 citation statements)

References 6 publications

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“…The framework takes an initial filter design, e.g., one designed using a classical numeric approach or a modern symbolic approach [2], and finds the pole-zero locations that optimize a weighted combination of properties subject to constraints on the properties. Some of the previous multicriteria filter optimization techniques, such as [3], only optimize for one property subject to constraints on multiple properties. Another technique applies sequential quadratic programming (SQP) methods to optimize loss and delay in digital filter designs [3].…”

Section: Introductionmentioning

confidence: 99%

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An automated framework for multicriteria optimization of analog filter designs

Damera-Venkata

Evans

1999

IEEE Trans. Circuits Syst. II

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This paper presents an extensible framework for designing analog filters that exhibit several desired behavioral properties after being realized in circuits. In the framework, we model the constrained nonlinear optimization problem as a sequential quadratic programming (SQP) problem. SQP requires real-valued constraints and objective functions that are differentiable with respect to the free parameters (pole-zero locations). We derive the differentiable constraints and a weighted differentiable objective function for simultaneously optimizing the behavioral properties of magnitude response, phase response, peak overshoot, and the implementation property of quality factors. We use Mathematica to define the algebraic equations for the constraints and objective function, compute their gradients symbolically, and generate standalone MATLAB programs to perform the multicriteria optimization. Providing closed-form gradients prevents divergence in the SQP procedure. The automated approach avoids errors in algebraic calculations and errors in transcribing equations into software. The key contributions are: 1) an extensible, automated, multicriteria filter optimization framework; 2) an analytic approximation for peak overshoot; and 3) three novel filter designs. We have released the source code for the framework on the Internet.

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Section: Introductionmentioning

confidence: 99%

“…Some of the previous multicriteria filter optimization techniques, such as [3], only optimize for one property subject to constraints on multiple properties. Another technique applies sequential quadratic programming (SQP) methods to optimize loss and delay in digital filter designs [3].…”

Section: Introductionmentioning

confidence: 99%

An automated framework for multicriteria optimization of analog filter designs

Damera-Venkata

Evans

1999

IEEE Trans. Circuits Syst. II

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On establishing the bounds for binary scaled coefficients of fifth and seventh order polyphase half-band filters

Kale

Murphy

Patel

Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94

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Joint optimization of multiple behavioral and implementation properties of analog filter designs

Damera-Venkata¹,

Evans²,

Lutovac³

et al.

ISCAS '98. Proceedings of the 1998 IEEE International Symposium on Circuits and Systems (Cat. No.98CH36187)

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This paper presents an extensible framework for optimizing analog filter designs for multiple behavioral and implementation properties. We demonstrate the framework using the behavioral properties of magnitude response, phase response, and peak overshoot, and the implementation property of quality factors. We represent the analog filter in terms of its poles and zeroes. We match the constrained non-linear optimization problem to a sequential quadratic programming (SQP) problem, and develop symbolic mathematical software to translate the SQP formulation into working MATLAB programs to optimize analog filter designs. The automated approach avoids errors in algebraic calculations and errors in transcribing the mathematical equations in software. The packages are freely distributable.

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Improved design of digital filters satisfying a combined loss and delay specification

Cited by 4 publications

References 6 publications

An automated framework for multicriteria optimization of analog filter designs

An automated framework for multicriteria optimization of analog filter designs

On establishing the bounds for binary scaled coefficients of fifth and seventh order polyphase half-band filters

Joint optimization of multiple behavioral and implementation properties of analog filter designs

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