This manuscript of ''Habilitation à diriger les Recherches'' (Habilitation to conduct researches) gives me the opportunity to take stock of the last 14 years on my associate professor activities and on my research works in the field of signal processing for digital communications, particularly for radio-mobile communications. The purpose of this signal processing is generally to obtain a robust transmission, despite the passage of digital information through a communication channel disrupted by the mobility between the transmitter and the receiver (Doppler effect), the phenomenon of echoes (multi-path propagation), the addition of noise or interference, or by limitations in bandwidth, in transmitted power or in signal-to-noise ratio. In order to recover properly the digital information, the receiver needs in general to have an accurate knowledge of the channel state. Much of my work has focused on receiver synchronization or more generally on the dynamic estimation of the channel parameters (delays, phases, amplitudes, Doppler shifts, ...). We have developed estimators and studied their performance in asymptotic variance, and have compared them to minimum lower bound (Cramer-rao or Bayesian Cramer Rao bounds). Some other studies have focused only on the recovering of information (''detection'' or ''equalization'' task) by the receiver after channel estimation, or proposed and analyzed emission / reception schemes, reliable for certain scenarios (transmit diversity scheme for flat fading channel, scheme with high energy efficiency, ...).
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机译：这份“适应能力研究”（Habilitationàdiriger les Recherches）手稿（进行研究的能力）使我有机会回顾过去14年的副教授活动以及我在数字通信信号处理领域的研究工作，特别是用于无线电移动通信。这种信号处理的目的通常是获得鲁棒的传输，尽管数字信息通过通信信道的传输受到发射机和接收机之间的移动性（多普勒效应），回声现象（多径传播），噪声或干扰的增加，或由于带宽，发射功率或信噪比的限制。为了正确地恢复数字信息，接收器通常需要对信道状态有准确的了解。我的大部分工作都集中在接收器同步上，或更一般地，集中在信道参数（延迟，相位，幅度，多普勒频移等）的动态估计上。我们已经开发了估计器，并研究了它们在渐近方差中的表现，并将它们与最小下限（Cramer-rao或贝叶斯Cramer Rao边界）进行了比较。其他一些研究仅侧重于信道估计后接收机对信息的恢复（“检测”或“均衡”任务），或者提出并分析了在某些情况下可靠的发射/接收方案（针对平坦的衰落信道，具有高能效的方案，...）。
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