Bartlett's method

Bartlett's method

In physics, engineering, and applied mathematics, Bartlett's method, named after M.S. Bartlett, is used for estimating power spectra. Bartlett's method provides a way to reduce the variance of the periodogram in exchange for a reduction of resolution, compared to standard periodograms. Common applications of Bartlett's method are frequency response measurements and general spectrum analysis.

Definition and Procedure

Bartlett’s method consists of the following steps:
# The original N point data segment is split up into K data segments of length M
# For each segment, compute the periodogram by computing the discrete Fourier transform, and then computing the squared magnitude of the result.
# Average the result of the squared periodograms above for the K data segments.
## The averaging reduces the variance, compared to the original N point data segment.

The end result is an array of power measurements vs. frequency "bin".

ee also

*M. S. Bartlett
*Welch method is a method that uses a modified version of Bartlett’s method.

References

* Proakis, J.G., and Manolakis, D.G., Digital Signal Processing, Upper Saddle River, NJ: Prentice-Hall, 1996, pp 910-911.


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