Abstract
Hybrid filter bank (HFB) analog-to-digital systems permit wideband, high frequency conversion. This paper presents mixed norm optimal design of digital synthesis filters of a HFB. The mixed norm is a convex combination of the 2-norm and the Chebyshev norm with a weighting parameter. Robust HFB design method based on worst-case ellipsoidal uncertainty in analog filters errors is also proposed. Both the problems can be solved using semidefinite programming. The proposed mixed norm method allows designers to select the best suitable filters among a family of synthesis filters for specific applications, and the robust design method is more insensitive to analog filters errors than the nominal minimax design.
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