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Analysis of continuous-to-discrete transformation effect on a synthesis filter bank project

A new approach to design a hybrid filter bank, which can be utilized to develop ultra-fast analog-to-digital converters is presented. A bilinear transform and an impulse invariance method have been taken into analysis. Both methods allow to determine equivalent discrete filter bank for each subband of an input signal. Based on a characteristics of these filters, one can calculate the coefficients of discrete synthesis filter bank that allow you to compose a discrete signal in the whole band. Depending on the selected continuous-to-digital transformation a numerical effects have been analyzed. Properly selected conditions of both transformations allow under certain circumstances to minimize the influence of errors caused by these transformations, which lead to the minimization of the distortion level of the discrete signal at the output of the hybrid filter bank.