Nt1310 Unit 5 Lab Report

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1. Find out all of the local extremaof the original signal. Then, calculate the ith mean valueand the ith envelope estimateof each two successive extremaand respectively by the two equations as follows. (4) , and . (5)
2.These local means can be smoothed using moving average method to form a smoothly varying continuous local mean function. The envelope estimate is smoothed in the same way as the local means to get the the local envelope function.
3. Subtract the local mean function from the raw signaland the resulting signal is represented by. Then, the result is divided by the envelope estimate to produce a frequency modulated signal. The frequency modulated signal …show more content…
(6)
If the envelope estimateofis calculated and does not equal to 1. That is,is not a purely frequency modulated signal, is considered as a new original signal and step 1-3 are repeated. The iteration process is stopped until is a purely frequency modulated signal, that is . So . (7)
4. Multiply the all envelope estimates obtained from the iteration process and then the corresponding envelope is given by . (8)
The first PF signalis obtained by the product the envelope signal and the purely frequency modulated signal. (9)
5. Subtract the signalfrom the original signaland a new signalis gained which is considered as a new row signal. Repeat the whole steps to get the second PF component . The iteration process continues k times untilbecomes constant or monotonic. The process can be described as . (10)
So, the original signalcan be expressed as
. (11)

B.Application of Energy Entropy
Information Entropy can be used to reflect the uniformity of probability distribution of system information. That is, the greater the entropy value is, the greater the disorder degree of the information of a system
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