Wooden furnishings has something very all natural concerning it. There is this sense of heat, of nature and of elegance that could be be located in hardwood furnishings. Wood is actually born from the earth. It feeds the fire, breaks down in to ashes and also drafts away. It is extremely near the human presence […]

## 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 1 and 2 of Network Synthesis with examples

Foster’s Form of Synthesis Foster has given two types of network synthesis for one-port reactive network Series combination of parallel LC networks The 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 […]

## Network Synthesis Part-1 Lecture Notes

Network Synthesis Lecture Notes Network analysis: You are given a network then you analyze the behavior (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 behavior. Let us consider the network equations in terms […]

## Positive Real Function (prf)

Positive Real Function (prf) We know that the driving point impedance (Z(s) and driving point admittance (Y(s))are of the following type: N(s) = P(s) / Q(s) The function is prf if: N(s) is real for s real Q(s) is Hurwitz polynomial If N(s) has poles on (jw) axis, poles are simple and residues thereof are […]

## Routh Hurwitz Polynomial

Properties of the Routh 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 […]

## Magnitude and Phase angle of the coefficients in the network function

## Stability of a system based on Pole-zero

Stability of a system from Pole-zero concept Given a polynomial N(s) = P(s) / Q(s) By factorizing the numerator and denominator polynomials, we can easily show that the polynomial becomes zero when the ‘s’ terms in the numerator polynomial have the values s=0, -z1,-z2…….-zn, thus the roots of numerator define the zeros. Also, the roots […]

## Concepts of Network functions (driving point and transfer function)

General Terminologies of Two-Port networks: Network: A network is an interconnection of passive elements and dependent sources. There are no active or independent sources inside the box. The network is treated to be part of the square box shown in the figure. Terminal: A terminal is the endpoint of the conductor which is connected to […]

## 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 […]