Efficient Wide-Band FIR LTI Systems Derived Via Multi-Rate Techniques and Sparse Bandpass Filters

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.