When x(t), the input to N, is known, and when h(t),the impulse response of N, is known, the y(t), the output or response function, is expressed by

The two-sided or bilateral Laplace transform The one-sided Laplace transform or direct Laplace transform

We consider each term of the Fourier aeries representing the voltage as a single source. The equivalent impedance of the network at no is used to compute the current at that harmonic. XL(n) =noL and XC() =-1/noC The sum of these individual responses is the total response i

14-5 Waveform synthesis Synthesis is a combination of so as form a whole

1.A functionf(t) is said to be even iff(t)=(-t). They are symmetrical with respect to the vertical axis. (bn=0)

Any periodic waveform f(t)f(t) can be expressed by a Fourier series provided that (1) If it is discontinuous, there are only a finite number of discontinuous in the period T (2)It has a finite average value over the period T (3)It has a finite number of positive and negative maximums in the period T

current of one port into the voltage of the otherport and vice verse. U1 =-ais \2 =ai..gyration constant

the open-circuit reverse voltage gainthe open-circuit transfer admittancethe short-circuit transfer impedancethe short-circuit reverse current gain

are parameters The matrix from of parameter equations:

parameters equivalents admittance parameters. They parameter equivalents matrix form: