2026-09-19T07:08:39Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/616172022-01-13T07:54:29Zcom_1721.1_7582com_1721.1_7581col_1721.1_131023
Steven B. Leeb.
Remscrim, Zachary (Zachary N.)
Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science.
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
2011-03-07T15:24:25Z
2011-03-07T15:24:25Z
2010
2010
http://hdl.handle.net/1721.1/61617
704796915
Thesis (M. Eng.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2010.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 195-197).
The calculation of the Discrete Fourier Transform (DFT) of a discrete time signal is a fundamental problem in discrete-time signal processing. This thesis presents algorithms that use methods from number theory and algebra to exploit additional constraints about a signal to aid in the calculation of its DFT. First, an algorithm is presented that estimates the DFT of an unquantized signal given only a quantized version of that signal. Second, an algorithm to estimate the value of one subset of DFT coefficients from knowledge of another subset of DFT coefficients, for an appropriately constrained class of waveforms, is presented and analyzed. Thirdly, an algorithm to classify electrical loads on the basis of a subset of the DFT coefficients of load current is demonstrated. Finally, an embedded system that calculates DFT coefficients of measured current and makes this information available in convenient forms is considered.
by Zachary Remscrim.
M.Eng.
197 p.
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by
copyright. They may be viewed from this source for any purpose, but
reproduction or distribution in any format is prohibited without written
permission. See provided URL for inquiries about permission.
http://dspace.mit.edu/handle/1721.1/7582
Electrical Engineering and Computer Science.
Mathematical methods for non-intrusive load monitoring
The theory and application of non-intrusive load monitoring
Thesis
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<Abstract>The calculation of the Discrete Fourier Transform (DFT) of a discrete time signal is a fundamental problem in discrete-time signal processing. This thesis presents algorithms that use methods from number theory and algebra to exploit additional constraints about a signal to aid in the calculation of its DFT. First, an algorithm is presented that estimates the DFT of an unquantized signal given only a quantized version of that signal. Second, an algorithm to estimate the value of one subset of DFT coefficients from knowledge of another subset of DFT coefficients, for an appropriately constrained class of waveforms, is presented and analyzed. Thirdly, an algorithm to classify electrical loads on the basis of a subset of the DFT coefficients of load current is demonstrated. Finally, an embedded system that calculates DFT coefficients of measured current and makes this information available in convenient forms is considered.</Abstract>
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