The Synthesis of Electric Networks According to Prescribed Transient Conditions

By use of the Laplace transform a network function may be obtained yielding a prescribed transient response. The procedure is based directly on the prescribed function of time, without consideration of amplitude or delay as a function of frequency. An example is given in which the Poisson-Stieltjes integral is employed for the physical realization of a network function which involves a transcendental term. In conclusion, certain questions are raised for further research in applied mathematics.