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This correspondence introduces efficient realizations of wide-band LTI systems. They are single-rate realizations but derived via multi-rate techniques and sparse bandpass filters. The realizations target mid-band systems with narrow don't-care bands near the zero and Nyquist frequencies. Design examples for fractional-order differentiators demonstrate substantial complexity savings as compared to the conventional minimax-optimal direct-form realizations.
Date of Publication: July 2012