• Complex-Valued Nonlinear Adaptive Filters With Applications in α-Stable Environments 

      Talebi, Sayed Pouria; Werner, Stefan; Mandic, Danilo (Journal article; Peer reviewed, 2019)
      A nonlinear adaptive filtering framework for processing complex-valued signals is derived. The introduced adaptive filter extends the fractional-order framework of the authors for dealing with real-valued signals to the ...
    • Distributed adaptive filtering of alpha-stable signals 

      Talebi, Sayed Pouria; Werner, Stefan; Mandic, Danilo (Journal article; Peer reviewed, 2018)
      A cost-effective framework for distributed adaptive filtering of α-stable signals over sensor networks is proposed. First, the filtering paradigm of α-stable signals through multiple observations made over a network of ...
    • Fractional-order correntropy adaptive filters for distributed processing of alpha-stable signals 

      Gogineni, Vinay Chakravarthi; Talebi, Sayed Pouria; Werner, Stefan; Mandic, Danilo (Peer reviewed; Journal article, 2020)
      This work revisits the problem of distributed adaptive filtering in multi-agent sensor networks. In contrast to classical approaches, the formulation relaxes the Gaussian assumption on the signal and noise to the generalized ...
    • Fractional-order correntropy filters for tracking dynamic systems in alpha-stable environments 

      Gogineni, Vinay Chakravarthi; Talebi, Sayed Pouria; Werner, Stefan; Mandic, Danilo (Peer reviewed; Journal article, 2020)
      In an increasing number of modern filtering applications, the encountered signals consist of frequent sharp spikes, that cannot be accurately modeled using Gaussian random processes. Modeling the behavior of such signals ...
    • A joint particle filter for quaternion-valued alpha-stable signals via the characteristic dunction 

      Talebi, Sayedpouria; Werner, Stefan; Xia, Yili; Took, Clive Cheong; Mandic, Danilo (Chapter, 2022)
      The filtering paradigm is revisited through the perspective of characteristic functions. This results in the derivation of a novel particle filtering technique for sequential estimation/tracking of quaternion-valued α ...
    • Quaternion-valued distributed filtering and control 

      Talebi, Sayed Pouria; Werner, Stefan; Mandic, Danilo (Peer reviewed; Journal article, 2020)
      This article presents a unified framework for filtering and control of quaternion-valued state vector processes through multiagent networked systems. To achieve this goal, the filtering problem in sensor networks is ...
    • Tracking dynamic systems in alpha-stable environments 

      Talebi, Sayed Pouria; Werner, Stefan; Mandic, Danilo (Chapter, 2019)
      In order to accommodate for modern adaptive filtering applications, the classic adaptive filtering paradigm is considered from a more general perspective. The new formulation allows for time dependent variations in the ...