Digital filter design
Hermite neural network correlation and application
IEEE Transactions on Signal Processing
Gaussian filters and filter synthesis using a Hermite/Laguerre neural network
IEEE Transactions on Neural Networks
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In this paper, we investigate the design of pulse shaping filter for ultra-wideband (UWB) communication systems. We used Linear FM and Hermite-Rodriguez basis functions. The design problem is formulated as a general nonlinear optimization problem with frequency domain constraints. Such a formulation is quite flexible and can accommodate both frequency and time domain design specifications and constraints. Computationally effective approaches to solving the nonconvex optimization are proposed. An example of designing a pulse meeting FCC requirements is presented to illustrate the effectiveness of the proposed method.