Chapter 2

Complex Numbers and Exponentials

Abstract

This chapter introduces the importance of complex numbers and exponentials which are an integral part of digital communications and digital signal processing (DSP). The reason of delving deep into this area leads the readers to two-dimensional number plane, which help to understand DSP. The operators such as addition, subtraction, and multiplication take people through the complex side of numbers which are explained in two dimensions. The use of complex conjugate and complex exponential—in the number plane—allows readers understand the relationship of basic characteristics of numbers and its treatment. The chapter further looks into measuring angles in radians, which leads to the use of pi ...

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