November 2010
Intermediate to advanced
288 pages
8h 34m
English
book
Notes on Digital Signal Processing: Practical Recipes for Design, Analysis and Implementation
by C. Britton Rorabaugh
Content preview from Notes on Digital Signal Processing: Practical Recipes for Design, Analysis and Implementation
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Note 60. Complex and Analytic Signals
An understanding of complex and analytic signals is an essential foundation for the development of many advanced signal processing techniques.
A real-valued signal always has a magnitude spectrum that is symmetric about f = 0, as depicted in Figure 60.1(a). Many different digital receiver architectures depend upon the abilities to (1) eliminate either all of the positive-frequency content or all of the negative-frequency content in such a signal’s spectrum, and then (2) shift the surviving spectral band so that it is concentrated around zero frequency, as shown in Figure 60.1(c). A continuous-time signal having a spectrum that is zero-valued for all negative frequencies, as in Figure 60.1(b), is called an ...
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