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. […]
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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
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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
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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
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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
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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
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Transfer Function of Terminated Two Port Network: A ratio of voltage or current at one port to the voltage or current at the other port is called a Transfer Function of Terminated Two Port Network. In the last sections, we have studied how to obtain two port network parameters. In this section, we will study
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Bridged T Network Analysis: Consider Bridged T Network Analysis as shown in the Fig. 6.15 (a). We can consider bridged T network as a parallel connection of the two networks as shown in the Fig. 6.15 (b). The y-parameters of the overall network can be obtained by adding y-parameters of networks connected in parallel. The
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Lattice Network: The lattice network is one of the common four terminal networks. These networks are generally used in filter sections and also used as symmetrical attenuators. Consider the lattice network shown in the Fig. 6.12 (a). The arms with impedances Za and Zd are called series arms while the arms with impedances Zb and
π or pi Network in Network Analysis: Consider following two port ’π’ or pi Network type network with assumed voltages V1 and V2 and current I1 end I2 as shown in Fig. 6.11. Let the y-parameters of the above network are represented as follows, We know that, y-parameter for any network can be calculated by
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