| Summary: | 碩士 === 國立臺灣大學 === 電信工程學研究所 === 92 === In this thesis, we consider three kinds of digital filters with filter coefficients taking on -1, 0, +1 only. One is variable fractional delay FIR filter and the others are IIR allpass filter and filter banks. We design these two kinds of digital filters with continuous coefficients using WLS algorithm and Karmarkar algorithm, in minmax criteria methods are proposed..
When we implement a filter of conventional structure, we always need multibit multipliers. But the circuit complexity and high cost of multibit multipliers always confuse us. Thus, we adopt a new filter structure [25] whose main part consists of a transversal filter with tap coefficients restricted to -1, 0, +1 only and cascaded with an appropriate recursive network with some specific resetting function. Therefore, it is not necessary for transversal filter to use multipliers; the adopted configuration is suitable for hardware implementation. We apply the new structure to the design of the digital filter we discuss above.
In this thesis, we design variable delay FIR filter, IIR allpass filter, and IIR filter banks. The design examples are demonstrated to illustrate the effectiveness of the new structure.
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