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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 = …

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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. …

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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 …

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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 …

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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 …

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