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

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Chapter 12. Complex Data Extensions

12.1. Introduction

In all our previous discussions of statistical signal processing we have assumed that the data consists of a single record of N real data samples. The data is usually presumed to have originated as the result of sampling a real analog temporal waveform at equally spaced instants of time. The intent in this chapter is to address complex data, primarily used in the fields of radar, sonar, and communications. Complex data naturally arises when one is interested in processing a signal that is contained within a given frequency band, with the center frequency of the band at a very high frequency, relative to the bandwidth of the signal. These so-called bandpass signals have continuous-time Fourier ...

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