Similitude between the NGD function and filter gain behaviours

This paper deals with the similitude between the behaviours of linear filter gain and negative group delay NGD function. The transposition method of low-pass/high-pass, low-pass/band-pass and low-pass/band-stop NGD circuits is established. To the best of the author knowledge, it acts as the first paper devoted on the NGD function generalized theory. The introduced transform relationships simplify the synthesis of any NGD circuits from simple elementary low-pass NGD topologies. Families of innovative NGD topologies are identified. To verify the relevance of the concept proposed, frequency- and time-domain analysis results from realistic proofs of concept demonstrating the feasibility of developed NGD transforms were performed. Thanks to the NGD phenomenon, the possibility of the ultra-wideband pulse signals propagating in time-advance is verified. Finally, potential applications of NGD circuits are discussed. Copyright © 2013 John Wiley & Sons, Ltd.

[1]  L. J. Wang,et al.  Transparent anomalous dispersion and superluminal light-pulse propagation at a negative group velocity , 2001 .

[2]  R. Ishikawa,et al.  Group Delay Equalized UWB InGaP/GaAs HBT MMIC Amplifier Using Negative Group Delay Circuits , 2009, IEEE Transactions on Microwave Theory and Techniques.

[3]  B. Ravelo,et al.  NGD circuit using a microwave amplifier for the signal integrity improvement , 2012, 2012 Asia-Pacific Symposium on Electromagnetic Compatibility.

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

[5]  Nobutaka Kuroki,et al.  Delay-compensation techniques for ultra-low-power subthreshold CMOS digital LSIs , 2009, 2009 52nd IEEE International Midwest Symposium on Circuits and Systems.

[6]  Greg E. Bridges,et al.  Asymptotic Limits of Negative Group Delay in Active Resonator-Based Distributed Circuits , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[7]  Greg E. Bridges,et al.  Transient-imposed limitations of negative group delay circuits , 2010, 2010 14th International Symposium on Antenna Technology and Applied Electromagnetics & the American Electromagnetics Conference.

[8]  N. Fang,et al.  Ultrasonic metamaterials with negative modulus , 2006, Nature materials.

[9]  Mo Mojahedi,et al.  Broadband negative group delay microstrip phase shifter design , 2009, 2009 IEEE Antennas and Propagation Society International Symposium.

[10]  Morgan W. Mitchell,et al.  Superluminality and amplifiers , 1996 .

[11]  Blaise Ravelo,et al.  An FET-based microwave active circuit with dual-band negative group delay , 2011 .

[12]  M. Nakayama,et al.  Negative Group Delay Circuit for Feed-Forward Amplifier , 2007, 2007 IEEE/MTT-S International Microwave Symposium.

[13]  G. Eleftheriades,et al.  Transmission line models for negative refractive index media and associated implementations without excess resonators , 2003, IEEE Microwave and Wireless Components Letters.

[14]  R. Chiao,et al.  Superluminal (but causal) propagation of wave packets in transparent media with inverted atomic populations. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[15]  Blaise Ravelo,et al.  Baseband NGD circuit with RF amplifier , 2011 .

[16]  Blaise Ravelo,et al.  Cancellation of Delays in the High-Rate Interconnects with UWB NGD Active Cells , 2011 .

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

[18]  K. Dholakia,et al.  Toroidal optical dipole traps for atomic Bose-Einstein condensates using Laguerre-Gaussian beams , 2000 .

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

[20]  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.

[21]  C. Garrett,et al.  Propagation of a Gaussian Light Pulse through an Anomalous Dispersion Medium , 1970 .

[22]  Symon K. Podilchak,et al.  High speed metamaterial-inspired negative group delay circuits in CMOS for delay equalization , 2009 .

[23]  Jeremy N. Munday,et al.  Observation of negative group delays within a coaxial photonic crystal using an impulse response method , 2007 .

[24]  Blaise Ravelo,et al.  Investigation on Microwave Negative Group Delay Circuit , 2011 .

[25]  B. Segard,et al.  Observation of negative velocity pulse propagation , 1985 .

[26]  Giovanni Campardo,et al.  A Reduced Output Ringing CMOS Buffer , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.

[27]  Nicholas Chako,et al.  Wave propagation and group velocity , 1960 .

[28]  Blaise Ravelo,et al.  Demonstration of negative signal delay with short-duration transient pulse , 2011 .

[29]  B. Ravelo,et al.  Equalization of digital/mixed-signal disturbances with an negative group delay circuit , 2012, 2012 16th IEEE Mediterranean Electrotechnical Conference.

[30]  Blaise Ravelo,et al.  Neutralization of LC- and RC-Disturbances with Left-Handed and NGD Effects , 2013 .

[31]  A. Sommerfeld,et al.  Lectures on theoretical physics , 1950 .

[32]  Yang Liu,et al.  Microwave/digital signal correction with integrable NGD circuits , 2012, 2012 IEEE/MTT-S International Microwave Symposium Digest.

[33]  Steven Chu,et al.  Linear Pulse Propagation in an Absorbing Medium , 1982 .

[34]  Stepan Lucyszyn,et al.  Negative group delay synthesiser , 1993 .

[35]  L. J. Wang,et al.  Gain-assisted superluminal light propagation , 2000, Nature.

[36]  Daniel Solli,et al.  Superluminal effects and negative group delays in electronics, and their applications. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[37]  M. Markus,et al.  On-off intermittency and intermingledlike basins in a granular medium. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[38]  W. Robertson,et al.  Breaking the sound barrier: Tunneling of acoustic waves through the forbidden transmission region of a one-dimensional acoustic band gap array , 2002 .

[39]  Yehea I. Ismail,et al.  Serial-link bus: a low-power on-chip bus architecture , 2005, ICCAD-2005. IEEE/ACM International Conference on Computer-Aided Design, 2005..