Reactance network shaping a sinusoidal pulse with sinusoidal envelope of finite duration

The paper describes the procedure to synthesize a loaded by resistor reactance network that has an impulse or a step response described by a sinusoidal pulse with sinusoidal envelope of finite duration. The real and imaginary parts of the Laplace transform of the output response are expanded in infinite products. Then, using a finite number of terms in these products one can obtain a realizable transfer function.

[1]  W. E. Thomson.  The synthesis of a network to have a sine-squared impulse response , 1952 .

[2]  Xiaomin Chen,et al.  Monocycle shapes for ultra wideband system , 2002, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353).

[3]  E. Guillemin,et al.  What is Network Synthesis? , 1952, Transactions of the IRE Professional Group on Circuit Theory.

[4]  Murphy F. Gardner,et al.  Transients In Linear Systems Studied By The Laplace Transformation Volume I Lumped Constant Systems , 1942 .

[5]  Louis Weinberg,et al.  Network Analysis and Synthesis , 1962 .