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.
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