High-Pass Negative Group Delay RC-Network Impedance

This brief describes a synthesis of high-pass negative group delay (NGD) network impedance. The fundamental expression of the high-pass NGD canonical transfer function is established. Based on the circuit impedance equivalent principle, the high-pass NGD first-order network that is constituted by RC lumped elements is identified. The identified topology basic NGD characteristics are formulated and analyzed. Then, the associated synthesis method in function of the desired NGD optimal level and cutoff frequency is established. The theory is validated by design, simulations, and measurements of proof-of-concept prototypes. A good agreement between the theoretical prediction and experimental results showing high-pass NGD response from 1 MHz with minimal level of about -10 ns is observed. The high-pass NGD function operates at high frequencies with first-order circuit.