| Summary: | 碩士 === 國立臺灣大學 === 電信工程學研究所 === 93 === In part I of this dissertation, a structure is proposed to acquire the maximally flat lowpass FIR filter. The advantage is that the multiplication elements are not included. Only the addition and delay elements are required. Afterward, the 1-dimensional multiplierless maximally flat designs are extended to the 2-dimensional cases to acquire the quasi-circular-shaped or quasi-ellipse-shaped maximally flat FIR filters. Moreover, the spectrum-shifted and spectrum-rotated versions of the basic
2-dimensional maximally flat prototypes have been designed.
In part II, we deal with the minimum-phase filters design. First the concepts of the homomorphic systems and complex cepstrum are reviewed. Then several cepstrum-based or non-cepstrum-based approaches are reviewed. Finally, we propose
our minimum-phase filters design based on real cepstrum. This method has many advantages over other existing approaches concerning the complexity of the design process. Moreover, it is emphasized that the resulting magnitude response is the same with the original prototype.
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