最佳化正數列頻譜近似

Abstract

本篇論文研究的主題在找出一串有限長度的正數列，使其頻譜能夠最佳近似於一個已經給定的非負頻譜。文中藉由一個簡單的濾波器結構開始，用此濾波器結構所產生的優點，以此優點做為我們尋找正數列的開始。也就是重新改變此濾波器的結構，來獲得我們所想要的正數列頻譜。

The purpose of this thesis is searching for a finite-length positive sequence so that its spectrum can optimally approximate to a given spectrum. In this text, we begin with a simple filter structure and use the advantage of this filter structure. By using this advantage of the filter structure, we can find a finite-length positive sequence. We change this filter structure slightly to obtain the spectrum of the positive sequence which we want.