O'Reilly logo

Fundamentals of Statistical Signal Processing: Practical Algorithm Development, Volume III by Steven M. Kay

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Chapter 3. Mathematical Modeling of Signals

3.1. Introduction

As previously mentioned, we will only consider real continuous-time lowpass signals that have been sampled at the Nyquist rate. Bandpass and complex signals are described in Chapter 12. In this chapter typical signal models are discussed while in Chapter 4 we complete the mathematical modeling by describing noise models. It should be noted as illustrated in Figure 3.1, that “One man’s signal is another man’s noise”. Thus, what we designate as a signal could equally well be considered noise. For example, the Doppler-shifted sinusoid introduced in Chapter 2 was used to model a signal. But a sinusoid could also be used to represent noise, in particular, a 60 Hz interference. Hence, our ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required