# K\"ahler information manifolds of signal processing filters in weighted Hardy spaces

@inproceedings{Choi2021KahlerIM, title={K\"ahler information manifolds of signal processing filters in weighted Hardy spaces}, author={Jaehyung Choi}, year={2021} }

We generalize Kähler information manifolds of complex-valued signal processing filters by introducing weighted Hardy spaces and generic composite functions of transfer functions. We prove that the Riemannian geometry induced from weighted Hardy norms for composite functions of its transfer function is the Kähler manifold. Additionally, the Kähler potential of the linear system geometry corresponds to the square of the weighted Hardy norms for composite functions of its transfer function. By…

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