| Summary: | This paper presents a novel miniaturization approach by co-designing together a filter and an antenna. Indeed, contrary to a classical filter-antenna design, which presents a <inline-formula> <tex-math notation="LaTeX">$50~\Omega $ </tex-math></inline-formula> transition between the filter and the antenna, the co-design methodology proposed in this paper will prove that both the antenna and the filter can be optimized on a complex impedance. For this impedance, different from <inline-formula> <tex-math notation="LaTeX">$50~\Omega $ </tex-math></inline-formula>, the antenna volume can be reduced by more than 50% while presenting a high radiation efficiency. Moreover, the filter performance will be optimized on complex impedance loads without being affected compared to a classical <inline-formula> <tex-math notation="LaTeX">$50~\Omega $ </tex-math></inline-formula> filter. This new approach will be detailed and compared to a classical one in order to validate the improvement achieved by this co-design methodology. Prototypes have been manufactured and measurements confirm the benefits observed during the design phase.
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