Quaternion-Valued Adaptive Filtering

Frequency domain quaternion adaptive filters: Algorithms and convergence performance

Recently, adaptive fltering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three dfferent quaternion-valued adaptive algorithms operating in the frequency domain.

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