Synthesis of Negative Group Delay Using Lossy Coupling Matrix

2017/08/08 by Ranjan Das, Qingfeng Zhang, Das, Ranjan +1 · 1 citation
Computer Science · Engineering · Materials Science · Physics and Astronomy · #Advanced MIMO Systems Optimization #Applied Physics (physics.app-ph) #Cooperative Communication and Network Coding #FOS: Physical sciences #Metamaterials and Metasurfaces Applications #physics.app-ph

paper · pdf · doi:10.48550/arxiv.1708.02343

arxiv created 2017/08/08 · openalex publication_date 2017/08/08 · arxiv updated 2017/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, a systematic synthesis approach is proposed for achieving negative group delay responses using lossy coupling matrix. It is mathematically proved that, for a passive and reciprocal network, loss is the necessary condition to realize a negative group delay. Also, the optimum strategy is to place zeros and poles of the transfer function both on the left complex plane. A closed-form relation between the group delay and magnitude is then derived based on this strategy, and followed by a complete synthesis approach using coupling matrix. Two numerical and one experimental examples are finally given to illustrate the proposed synthesis method.

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