12

Sequences and series

12.1 Introduction

Sequences have two main applications: serving as a digital representation of a signal after analog to digital (A/D) conversion or as a method of solving a numerical problem by getting a sequence of answers, each one being closer to the exact, correct solution.

The advance of digital communications has resulted from the increased accuracy in reproduction of the stored or transmitted signal in digital form. For instance, the reproduction of the stored signal by a compact disc player is far superior to the analog reproduction of the old vinyl records. It is also very convenient to be able to apply filters and other processing techniques in digital form using computers or dedicated microprocessors.

Sequences are ...

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