Cauer Form of Circuit Realization

Cauer Form of Circuit Realization Cauer introduced two forms of circuit realization from the network function. These are known as Cauer 1st Form of network/circuit realization : The network function used for realization is such that of n>m,where n is the degree of numerator (P(s)) polynomial and m is the degree of the denominator polynomial. […]

Foster’s Form of Network Synthesis

Foster’s Form of Synthesis Foster has given two type of network synthesis for one-port reactive network Series combination of parallel LC networks Parallel combination of series LC networks Foster 1st Form When numerator polynomial is of higher degree than the denominator polynomial The first element capacitor is represented by A0/s The last element Inductor is […]

Network Synthesis-Part-1

Network Synthesis Network analysis: You are given a network then you analyse the behaviour (output) by applying certain excitation. Network Synthesis: You know the output response for certain excitation, then you are required to find appropriate Z(s) or Y(s) that will give that desired behaviour. Let us consider the network equations in terms of impedance […]

Routh Hurwitz Polynomial

Properties of the Hurwitz Polynomial: A polynomial to be Hurwitz when- P(s) is real when s ir real The roots of P(s) have real parts which are zero or negative. Properties of Hurwitz polynomial P(s) = ansn + an-1sn-1 +…………….a1s + a0 are: Coefficient of s must be positive Both odd and even parts of […]

Open Circuit and Short Circuit impedance and Image Impedance

Open circuit and Short circuit impedance of a two-port network in terms of ABCD parameters   From the generalized ABCD parameter equation V1=AV2 – BI2 I1=CV2 – DI2 Applying Open circuit at port-2; I2=0 we get V1= AV2;                               I1= CV2 Z1O   =   V1/I1= A/C   ——————————(i) Applying the short circuit at port-2; V2=0, we get V1= […]

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