Application of Hermite-Rodriguez Functions to Pulse Shaping Analog Filter Design

In this paper, we consider the design of pulse shaping filter using orthogonal Hermite-Rodriguez basis functions. The pulse shaping filter design problem has been formulated and solved as a quadratic programming problem with linear inequality constraints. Compared with the existing approaches reported in the literature, the use of Hermite-Rodriguez functions offers an effective alternative to solve the constrained filter synthesis problem. This is demonstrated through a numerical example which is concerned with the design of an equalization filter for a digital transmission channel.

Authors:

• Mohd Amaluddin Yusoff

Keywords:

• channel equalization filter
• Hermite-Rodriguez
• pulseshaping filter
• quadratic programming.

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