Network Analysis & Circuits

Chapter 9: Network Functions; Poles and Zeros

9.1 INTRODUCTION

In this chapter we introduce the concept of transfer functions relating currents and voltages in different sections of a network. These functions are mathematically similar to the transform impedance or admittance functions and are included in the broader category of functions called network functions.

Terminal Pairs or Ports. Any network may be represented schematically by a rectangle or box as shown in Figure 9.1. A network may be used for a variety of purposes. Thus consider its use as a load connected to some other network. In order to connect it to the active network, there must be available two terminals of this passive network. Figure 9.1 shows a network with one pair of terminals 1-1 ? or with one port. Such a network may be called a one-port network or one terminal-pair network. When such a one-port network is connected to an energy source or an active network at its pair of terminals, the energy source provides the driving force for this one-port network and the pair of terminals constitute the driving-point of the network. One pair of terminals is known as a port.


Figure 9.1: One-port network driven by a source

Figure 9.2 shows a two-port network or two terminal-pair network. In this case, port 1 is connected to the driving force or the input and is called the input port or the driving port. On the other hand, port 2 ( i.e., terminal-pair 2-2 ?), is...

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