# Elements of Network Synthesis

## Transmission Zero

Transmission Zero: The Transmission Zero functions describe the transmission of signal from one end to other end. The Fig. 7.28 shows the transfer of signal from one network to other through a capacitor C. There is a transmission through the capacitor producing finite output for finite input, at all the frequencies. But at s = …

## Elements of Transfer Function Synthesis

Elements of Transfer Function Synthesis: A transfer function is generally defined to specify the properties of a two port network. Hence Elements of Transfer Function Synthesis is also known as two port synthesis. Consider a two port network as shown in the Fig. 7.26. V1 and I1 are voltage and current at port 1 while …

## RL Driving Point Impedance

RL Driving Point Impedance: The RL networks consist of only R and L components. There is no capacitor present in such networks. The RL Driving Point Impedance of such networks is denoted as ZRL(s). The properties of driving point impedance function of RL networks [ZRL(s)] and the driving point admittance function of RC networks [YRC …

## RC Driving Point Impedance function

RC Driving Point Impedance function: As the name indicates, the RC networks consist of only R and C components. There is no inductor in RC networks. The RC Driving Point Impedance function is denoted as ZRC(s). The properties of RC Driving Point Impedance function and the properties of driving point admittance function of RL network …

## LC Immittance Function

LC Immittance Function: The LC Immittance Function can be LC impedance functions denoted as ZLC(s) or LC admittance functions denoted as YLC(s). A LC network does not contain power dissipative components i.e. resistances and only consists of reactive elements L and C components. Hence such network is also called a reactance network or lossless network. …

## Driving Point Immittance Function

Driving Point Immittance Function: The immitance function must be positive real function so that its synthesis can be done to obtain an electrical network, using passive elements. We have discussed the tests to confirm the positive realness of a given function. Let us study now how to synthesize the given Driving Point Immittance Function (impedance …

## Positive Real Function

Positive Real Function: Let us study another class of functions called positive real functions. The significance of positive real functions is that if the driving point immitance (i.e. admittance or impedance) is a positive real function then only it is physically realizable using passive R, L and C components. Hence immitance function must be checked …

## Hurwitz Polynomial

Hurwitz Polynomial: For a polynomial P(s) to be a Hurwitz polynomial, it has to satisfy following basic properties, The polynomial P(s) is real when ‘s’ is real. The roots of the polynomial P(s) have real parts which are either zero or negative. In addition to these basic properties, Hurwitz polynomial has to satisfy few more …

## Realisability of One Port Network

Realisability of One Port Network: Realisability of One Port Network – Consider the network function H(s) which is the ratio of Laplace transform of the output R(s) to the Laplace transform of the excitation E(s). In the synthesis, we are going to obtain a network from the given network function which may be admittance function …

## Elements of Network Synthesis

Elements of Network Synthesis: Elements of Network Synthesis – For any network, three things are associated with it. These are network elements, input i.e. excitation to the network and output i.e. response from the network. In the network analysis, the network elements are known and excitation is also known. Using number of methods, the networks …