Computationally efficient decimators, interpolators, and narrow transition-band linear-phase finite impulse response (FIR) filters

TL;DRAbstract

In many digital-filtering applications, it is crucial that the shape of the waveform to be filtered is preserved. This desirable property is owned by a class of digital filters, collectively referred to as linear-phase digital filters.\n\n\nIn very large scale integration (VLSI) applications, the designs requiring the smallest number of multipliers are of particular interest, since depending on the application, less multipliers is tantamount to a smaller or a less power consuming VLSI chip. To this end, there has been a constant effort to come up with designs requiring minimum possible number of multipliers to meet a predefined specification.\n\n\nTwo important classes of digital filters, decimators and interpolators, have been a focus of the above-mentioned effort. Decimators and interpolators are integral parts of a multirate digital signal processing (DSP) system, and because of vast applications of such systems, decimators and interpolators are found virtually in every DSP-utilizin

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