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RFIC Design by Mathematics

Abstract : Design by Mathematics is an inventive design approach dedicated to high performance integrated circuits. It is based on mathematical principles and techniques, such as Riemann’s integration or Fourier’s transformation. These mathematical tools are used to optimize a specific signal processing and conditioning. A given tool behavior is then copied as much as possible within a silicon implementation, yielding to mixed-signal integrated circuits that demonstrate innovative system architectures and disruptive approaches. While using Design by Mathematics does not imply one will achieve better performances than when using classical design techniques, it offers a substitute that can counteract key technical bottlenecks and pave the way to new opportunities. In this talk several Design by Mathematics examples will be presented, focusing on wireless systems. These systems include next generation standards such as 5G and its carrier aggregation technique in the radiofrequency range. Fourier’s and Walsh’s transformations will used, as well as Fourier’s recombination and Riemann’s integration, for either the receiver path or the transmitter path of a system.
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Contributor : Circuits And Systems Equipe <>
Submitted on : Sunday, July 2, 2017 - 10:16:11 AM
Last modification on : Saturday, March 14, 2020 - 12:36:18 PM


  • HAL Id : hal-01552331, version 1


Francois Rivet, Yann Deval. RFIC Design by Mathematics. Emerging Technologies Communications Microsystems Optoelectronics Sensors (ET CMOS), May 2017, Varsovie, Poland. ⟨hal-01552331⟩



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