Decompose power consumption using Wavelet

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I'm doing a project of decomposing the total power consumption signal to identify/ recognize each individual type of appliance being used. I would like to know if wavelet packet decomposition in MATLAB be able to do such task. If so, please guide for methodology.
My input data set (3 sec/sample) are the following: 1. The total power consumption of appliances (turning on/off randomly). 2. Power consumption of each individual appliance at the same time frame. That is, the sum of data for each appliance is equal to the total power consumption data in item 1.
Thanks.
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Ali Bou Haidar
Ali Bou Haidar 2016-8-23
I have a similar task at hand. I am trying to desegregate the total power consumption into individual appliance consumption knowing the total number of appliances and assuming two states (ON or OFF). I am trying to implement the Hidden Markov Model or the Factorial Hidden Markov model. Can you provide any help with that? So far I have managed to generate the transition and observation matrices using both the 'hmm.m' and 'fhmm.m'. I am trying to use the 'hmmgenerate.m' do you know if it's applicable? If not what can I use instead?

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Ali Bou Haidar
Ali Bou Haidar 2016-8-23
I have a similar task at hand. I am trying to desegregate the total power consumption into individual appliance consumption knowing the number of appliances being available. I am trying to implement the Hidden Markov Model or the Factorial Hidden Markov model. Can you provide any help with that?

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