2.1 INTRODUCTION
Linear systems are those that satisfy both homogeneity and additivity.
(i) Homogeneity: Let x be the input to a linear system and y the corresponding output, as shown in Fig. 2.1. If the input is doubled (2x), then the output is also doubled (2y). In general, a system is said to exhibit homogeneity if, for the input nx to the system, the corresponding output is ny (where n is an integer). Thus, a linear system enables us to predict the output.
FIGURE 2.1 A linear system
(ii) Additivity: For two input signals x1 and x2 applied to a linear system, let y1 and y2 be the corresponding output signals. Further, if (x1 + x2) is the ...
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