Chapter 10. Signal Processing

In this chapter, we will cover the following topics:

  • Analyzing the frequency components of a signal with a Fast Fourier Transform
  • Applying a linear filter to a digital signal
  • Computing the autocorrelation of a time series

Introduction

Signals are mathematical functions that describe the variation of a quantity across time or space. Time-dependent signals are often called time series. Examples of time series include share prices, which are typically presented as successive points in time spaced at uniform time intervals. In physics or biology, experimental devices record the evolution of variables such as electromagnetic waves or biological processes.

In signal processing, a general objective consists of extracting meaningful ...

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