Optimisation of the Transient response of a Digital Filter

Abstract

The paper presents a theoretical analysis of the method that enablesoptimisation of the transient response of a digital filter or of anarbitrary discrete system, by pre-setting the initial conditions of theinner state description. For a particular design of a filter, it isenough to once evaluate coefficients, multiply them by the magnitude ofthe first sample of the signal and do filtration by using these initialconditions. The method was verified using the simulated, and NMRsignals to maintain spectrum baselines correction, and will also beused for the study of an optimum filtration of the NMR signal with avariable instantaneous frequency.