Network Analysis and 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 9.1 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 connected to the load and is called the output port or the load port.

FIGURE 9.2 Two-port network driven by an energy source.


Figure 9.3 shows a general n-port network. Here the driving force
(energy source) may be connected to one or more ports and other networks
may be connected at the remaining ports.

FIGURE 9.3 General n-port network.

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