A Geometric Approach to Group Delay Network Synthesis

Radioengineering

卷:25

关键词: All-pass circuits;    approximation problem;    analog signal processing;    delay ripple equalisation;    group delay engineering;    linear phase filters;   

DOI  :  

来源: DOAJ

【 摘 要 】

All-pass networks with prescribed group delay are used for analog signal processing and equalisation of transmission channels. The state-of-the-art methods for synthesising quasi-arbitrary group delay functions using all-pass elements lack a theoretical synthesis procedure that guarantees minimum-order networks. We present an analytically-based solution to this problem that produces an all-pass network with a response approximating the required group delay to within an arbitrary minimax error. For the first time, this method is shown to work for any physical realisation of second-order all-pass elements, is guaranteed to converge to a global optimum solution without any choice of seed values as an input, and allows synthesis of pre-defined networks described both analytically and numerically. The proposed method is also demonstrated by reducing the delay variation of a practical system by any desired amount, and compared to state-of-the-art methods in comparison examples.

【 授权许可】

Unknown