Design of a Generalized Chebyshev Filter With a Sloped Passband

This paper introduces a novel filtering equalizer concept, which enables the design of a desired passband slope while maintaining filtering characteristics. The mathematical equations used to design for a given slope are provided, and the design methodology of the required filtering polynomials is also shown. A third-order lumped-element filtering equalizer with a 3 dB slope along the passband is designed, fabricated, and measured to verify the theory and design methodology. The proposed filter equalizer concept has the potential to both increase the flatness of an overall system response and thus decrease the error vector magnitude (EVM) while also decreasing the cost, size, weight, and power (C-SWaP) of future RF and microwave systems.