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Conventional Optimization

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Fundamentals of Differential Beamforming

Part of the book series: SpringerBriefs in Electrical and Computer Engineering ((BRIEFSELECTRIC))

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Abstract

With conventional optimization techniques, we can derive a large class of differential beamformers as it is shown in this chapter. From some classical quadratic criteria, we introduce the w-hypercardioid and the w-supercardioid of any order. We also propose robust versions of them. We reveal how to design the dipole and the cardioid of any order, by exploiting the fact that they have a unique null of maximum multiplicity but at different positions. We also present some other differential beamformers that can compromise between the white noise gain and the directivity factor.

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References

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Correspondence to Jacob Benesty .

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Benesty, J., Chen, J., Pan, C. (2016). Conventional Optimization. In: Fundamentals of Differential Beamforming. SpringerBriefs in Electrical and Computer Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-1046-0_5

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  • DOI: https://doi.org/10.1007/978-981-10-1046-0_5

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-1045-3

  • Online ISBN: 978-981-10-1046-0

  • eBook Packages: EngineeringEngineering (R0)

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