Title :
Formation of narrow pulses in a nonlinear lossy LC ladder network
Author :
Ghafouri-Shiraz, H. ; Shum, P.
Author_Institution :
Sch. of Electron. & Electr. Eng., Birmingham Univ., UK
fDate :
3/1/1996 12:00:00 AM
Abstract :
We have analyzed the propagation of soliton in a nonlinear lossy LC ladder network by using a novel method called the Fourier Series Analysis Technique. Based on the measured C-V characteristic of the nonlinear capacitor used, we obtained a Korteweg-deVries (KdV) equation with a loss term. Experimental work has been carried out to investigate the effect of applying a DC bias voltage across the nonlinear capacitors on the pulsewidth and peak amplitude of the electrical pulse obtained along the network. A good agreement has been obtained between the theoretical and experimental results
Keywords :
Fourier series; ladder networks; losses; nonlinear network analysis; passive networks; solitons; C-V characteristic; DC bias voltage; Fourier series analysis; Korteweg-deVries equation; electrical pulse; lossy LC ladder network; narrow pulse formation; nonlinear LC ladder network; nonlinear capacitor; peak amplitude; pulsewidth; soliton propagation; Capacitance-voltage characteristics; Capacitors; Fourier series; Inductors; Intelligent networks; Nonlinear equations; Propagation losses; Solitons; Transmission line theory; Voltage;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
