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              <p>Dans cet article, on s'intéresse à l'optimisation jointe d'un signal et de son filtre désadapté associé. Ce problème a déjà été traité dans la littérature, mais de manière cyclique : l'optimisation se fait sur une des deux séquences, l'autre étant fixée, et inversement. Cet article propose deux algorithmes-avec deux problèmes d'optimisation-réalisant une optimisation jointe. Le premier introduit une fonction objectif avec un gabarit, qui permet de contrôler le niveau des lobes secondaires et la perte en gain de traitement. Le second utilise la propriété d'existence d'un filtre désadapté optimal minimisant l'ISL (Integrated Sidelobe Level). Les simulations effectuées montrent l'intérêt d'une optimisation jointe, et présentent des profils de lobes secondaires intéressants, notamment sur leur répartition selon l'algorithme considéré. Abstract-This paper deals with the joint optimization of a signal and its associated mismatched filter. This question has already been adressed in the literature, by alternatively solving two optimization problems, one per sequence. In this article, two algorithms-and thus, two optimization problems-are introduced in order to optimize jointly both sequences. The first objective function contains a pattern, that allows to control the loss-in-processing gain and the sidelobe level. The other includes the optimal mismatched filter that minimizes the ISL (Integrated Sidelobe Level). A gradient descent is applied in both cases. As expected, simulations show that a joint optimization performs better than a separate one. Besides, while sidelobe levels are quite interesting in both cases, an optimization of the ISL presents amazingly low levels around the mainlobe.</p>
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