Study and experimentation of a 6-dB attenuation low-pass NGD circuit

Because of its counterintuitive nature, the Negative Group Delay (NGD) remains as an uncommon and unfamiliar electronic function. For this reason, the design and analysis of NGD circuits are not well-known for most of electronic designers. This paper initiates a basic and easy to understand theory, in addition to a design methodology for the low-pass NGD function. The circuit theory on the low-pass NGD function is described using an NGD passive topology which is constituted by a RC-parallel network with a resistive load. The NGD analysis and synthesis equations in function of NGD specifications are provided and a proof-of-concept of 6-dB low-pass NGD circuits has been designed, simulated, fabricated and tested. Frequency and time domain analyses have been performed to validate the low-pass NGD function. Theoretical and simulated results are in very good agreement and an NGD has been obtained in measurement for the proposed structure.

[1]  Rui L. Aguiar,et al.  A time‐delay technique to improve GBW on negative feedback amplifiers , 2008, Int. J. Circuit Theory Appl..

[2]  H. F. Li,et al.  Optimised synthesis of delay-insensitive circuits using time-sharing , 1994 .

[3]  Blaise Ravelo,et al.  Negative Group Delay Theory of a Four-Port RC-Network Feedback Operational Amplifier , 2019, IEEE Access.

[4]  Kaushik Roy,et al.  Slope Interconnect Effort: Gate-Interconnect Interdependent Delay Modeling for Early CMOS Circuit Simulation , 2009, IEEE Transactions on Circuits and Systems I: Regular Papers.

[5]  Rui L. Aguiar,et al.  A time-delay technique to improve GBW on negative feedback amplifiers , 2008 .

[6]  E. C. Heyde,et al.  Theoretical methodology for describing active and passive recirculating delay line systems , 1995 .

[7]  Hongmei Liu,et al.  A Broadband Switch-Less Bi-Directional Amplifier with Negative-Group-Delay Matching Circuits , 2018, Electronics.

[8]  M. Kitano,et al.  Demonstration of negative group delays in a simple electronic circuit , 2002 .

[9]  Gerrit Groenewold,et al.  Noise and Group Delay in Active Filters , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[10]  Leonid Belostotski,et al.  RF Analog Beamforming Fan Filters Using CMOS All-Pass Time Delay Approximations , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[11]  Li-Gang Wang,et al.  High fidelity of electric pulses in normal and anomalous cascaded electronic circuit systems , 2019, Results in Physics.

[12]  M. Kitano,et al.  Negative group delay and superluminal propagation: an electronic circuit approach , 2003, quant-ph/0302166.

[13]  Chang-Hua Lien,et al.  Global exponential stability for uncertain bidirectional associative memory neural networks with multiple time-varying delays via LMI approach , 2008 .

[14]  Zainulabideen Jamal Khalifa,et al.  A new CFOA-based negative group delay cascadable circuit , 2018 .

[15]  Chang-Hua Lien,et al.  Global exponential stability for uncertain bidirectional associative memory neural networks with multiple time‐varying delays via LMI approach , 2008, Int. J. Circuit Theory Appl..

[16]  Huaicheng Yan,et al.  Optimal Tracking Performance of NCSs with Time-delay and Encoding-decoding Constraints , 2020 .

[17]  Jianwu Wang,et al.  Time-domain nature of group delay* , 2015 .

[18]  Morgan W. Mitchell,et al.  Causality and negative group delays in a simple bandpass amplifier , 1998 .

[19]  Morgan W. Mitchell,et al.  NEGATIVE GROUP DELAY AND FRONTS IN A CAUSAL SYSTEM : AN EXPERIMENT WITH VERY LOW FREQUENCY BANDPASS AMPLIFIERS , 1997 .

[20]  Blaise Ravelo,et al.  Time-Domain Experimentation of NGD ActiveRC-Network Cell , 2019, IEEE Transactions on Circuits and Systems II: Express Briefs.

[21]  B. Raveloa Delay modeling of high-speed distributed interconnect for the signal integrity prediction , 2012 .

[22]  Ryo Ishikawa,et al.  Synthesis for Negative Group Delay Circuits Using Distributed and Second-Order RC Circuit Configurations , 2009, IEICE Trans. Electron..

[23]  Richa Negi,et al.  Delay-Dependent Stability Analysis of Discrete Time Delay Systems with Actuator Saturation , 2012 .

[24]  Jong-Gwan Yook,et al.  Effect of Group Delay in RF BPF on Impulse Radio Systems , 2007, IEICE Trans. Commun..

[25]  Aravind Chamarti,et al.  Transmission line delay‐based radio frequency identification (RFID) tag , 2007 .

[26]  Jeremy N. Munday,et al.  Superluminal time advance of a complex audio signal , 2004 .

[27]  G. Bridges,et al.  Bilateral Gain-Compensated Negative Group Delay Circuit , 2011, IEEE Microwave and Wireless Components Letters.

[28]  B. Ravelo,et al.  First-order low-pass negative group delay passive topology , 2016 .

[29]  Sung-Mo Kang,et al.  A global delay model for domino cmos circuits with application to transistor sizing , 1990, Int. J. Circuit Theory Appl..

[30]  N. S. Bukhman,et al.  On the Negative Delay Time of a Narrow-Band Signal as It Passes Through the Resonant Filter of Absorption , 2004 .

[31]  Blaise Ravelo,et al.  Recovery of Microwave-Digital Signal Integrity with NGD Circuits , 2013 .

[32]  Blaise Ravelo,et al.  Similitude between the NGD function and filter gain behaviours , 2014, Int. J. Circuit Theory Appl..

[33]  S. V. Narasimhan,et al.  Channel blind identification based on cyclostationarity and group delay , 2005, Signal Process..