Signal reconstruction from a periodic nonuniform set of samples using H (infinity) optimization
Ha Thai Nguyen, Minh N. Do · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2007
We study the problem of signal reconstruction from a periodical nonuniform set of samples. The considered system takes samples of delayed versions of a continuous signal at low sampling rate, with different fractional delays for different channels. We design IIR synthesis filters so that the overall system approximates a sampling system of high sampling rate using techniques from model-matching problem in control theory with available software (such as Matlab). Unlike traditional signal processing methods, our approach uses techniques from control theory which convert systems with fractional delays into H-norm-equivalent discrete-time systems. The synthesis filters are designed so that they minimize the H(infinity) norm of the error system. As a consequence, the induced error is uniformly small over all (band-limited and band-unlimited) input signals. The experiments are also run for synthesized images.