Wednesday, September 14, 2011

Part 3 - Future Development of State Of The Art Statistical Method in Signal Analysis

‘Rivers of Statistic’
M-Z-N


       Mesokurtosis-Zonal-Nonparametric (M-Z-N) is the latest signal analysis to be developed.
       In M-Z-N method, the signal data will be divided into desired number of segment, M

Example divison a of signal data

       RMS value for each segment will be calculated.
       M-Z-N coefficient is defined as :-





where xi is the discrete data values ​​ of i-th sample in a segment, rms is the root mean square value for a segment, M is the number of segments, and N is the number of data in a segment.

       M-Z-N method had been applied in study of acoustic signal characteristic in impact testing.(Hilmi 2011)
       The structure borne ultrasonic and air borne ultrasonic signal of a low carbon steel 1050 is analyzed by M-Z-N method.

M-Z-N coefficient for SBU and ABU of low carbon steel 1050



       From this study, we had discover that M-Z-N coefficient increase with increment of impact magnitude.

MoZAK


       Generally, in translational motion, as the camera approaches an object, the degree of complexity of the edges of the object image will change.
       This principle can be used to estimate the distance to a targeted object.
       This work introduces a novel statistical method, named Moment of Zoomed-Algorithm Kurtosis (MoZAK), which is based on the I-kaz method, as an indicator for controlling the motion system.
       Generally, Mozak coefficient is defined as :-



=    coentroid to edge distance data
k  =   kurtosis
std =  standard deviation
c  = analysis order 



       The MoZAK parameter, ʓc which represents the degree of complexity of image edges, is used to indicate if further actuation of the motor, or otherwise, is required.
       This study is done using two approach to get a effective method to estimate motor motor movement so that no collision will occur between camera and targeted object. The approaches are:
                                I.            Comparison of conventional statistical methods (standard deviation and kurtosis) with MoZAK method.
                             II.            Varying order of statistical analysis and MoZAK method.






  •       Results indicate that the MoZAK method presents a viable distance estimator compared to conventional statistical methods.
  •       Generally, 4th moment statistical analysis at the 2nd order able to give coefficient changes that is proportional to image sequence.



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