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Notes on Digital Signal Processing: Practical Recipes for Design, Analysis and Implementation by C. Britton Rorabaugh

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Note 26. Unmodified Periodogram

This note presents the definition and basic properties of the unmodified periodogram. The unmodified periodogram is the simplest of the classical, nonparametric, DFT-based methods that are used to estimate the power spectrum of a discrete-time signal. Examples of its performance against various signal combinations and noise conditions are also presented.

For a discrete-time signal, x[n], the unmodified periodogram, SU [m], is computed as the normalized, squared magnitude of the N-point DFT for an L-sample segment of the signal that has been padded with NL zeros (see Note 16: Exploring DFT Resolution for a discussion of zero-padding in the DFT):

26.1

where X [m] is the slightly modified DFT given by

26.2 ...

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