Wavelet-based SPC procedure for complicated functional data

References

• Bakshi , BR . 1999 . Multiscale analysis and modeling using wavelets . J. Chemometr. , 13 : 415 – 434 .
   Web of Science ®Google Scholar
• Daubechies , I . 1992 . Ten Lectures in Wavelets , Philadelpia, PA : Wiley .
   Google Scholar
• Ding , Y , Elsayed , EA , Kumara , S , Lu , JC , Niu , F and Shi , J . 2004 . Distributed sensing for quality and productivity improvement . IEEE Trans. Autom. Sci. Eng. , in revision
   Google Scholar
• Donoho , DL and Johnstone , IM . 1994 . Ideal spatial adaptation by wavelet shrinkage . Biometrika , 81 : 425 – 455 .
   Web of Science ®Google Scholar
• Donoho , DL and Johnstone , IM . 1995 . Adapting to unknown smoothness via wavelet shrinkage . J. Am. Stat. Assoc. , 90 : 1200 – 1224 .
   Web of Science ®Google Scholar
• Fan , J . 1996 . Test of significance based on wavelet thresholding and neyman's truncation . J. Am. Stat. Assoc. , 91 : 674 – 688 .
   Web of Science ®Google Scholar
• Ganesan , R , Das , TK , Sikder , AK and Kumar , A . 2003 . Wavelet based indentification of delamination emission signal . IEEE Trans. Semicond. Manuf. , 16 : 677 – 685 .
   Web of Science ®Google Scholar
• Gardner , MM , Lu , JC , Gyurcsik , RS , Wortman , JJ , Hornung , BE , Heinisch , HH , Rying , EA , Rao , S , Davis , JC and Mozumder , PK . 1997 . Equipment fault detection using spatial signatures . IEEE Trans. Compon. Packag. Manuf. Technol. C , 20 : 295 – 303 .
   Google Scholar
• Hall , P , Poskitt , DS and Presnell , D . 2001 . A functional data-analytic approach to signal discrimination . Technometrics , 43 : 1 – 9 .
   Web of Science ®Google Scholar
• Jeong , MK . 2004 . Wavelet-based methodology in data mining for complicated functional data , Atlanta, GA : Georgia Institute of Technology . PhD thesis
   Google Scholar
• Jeong , MK , Chen , D and Lu , JC . 2003 . Thresholded scalogram and its application in process fault detection . App. Stochast. Models Bus. Ind. , 19 : 231 – 244 .
   Google Scholar
• Jeong , MK , Lu , JC , Huo , X , Vidakovic , B and Chen , D . 2005 . Wavelet-based data reduction techniques for fault detection and classification . Technometrics , (to appear)
   PubMedGoogle Scholar
• Jin , J and Shi , J . 1999 . Feature-preserving data compression of stamping tonnage information using wavelets . Technometrics , 41 : 327 – 339 .
   Web of Science ®Google Scholar
• Jin , J and Shi , J . 2001 . Automatic feature extraction of waveform signals for in-process diagnostic performance improvement . J. Intell. Manuf. , 12 : 257 – 268 .
   Web of Science ®Google Scholar
• Jones , MC and Rice , JA . 1992 . Displaying the important features of large collections of similar curves . Am. Stat. , 46 : 140 – 145 .
   Web of Science ®Google Scholar
• Kang , L and Albin , SL . 2000 . On-line monitoring when the process yields a linear profile . J. Qual. Technol. , 32 : 418 – 426 .
   Web of Science ®Google Scholar
• Kasashima , N , Mori , K , Ruiz , GH and Taniguchi , N . 1995 . On-line failure detection in face milling using discrete wavelet transform . Ann. CIRP , 44 : 483 – 487 .
   Google Scholar
• Lada , EK , Lu , JC and Wilson , JR . 2002 . A wavelet based procedure for process fault detection . IEEE Trans. Semicond. Manuf. , 15 : 79 – 90 .
   Web of Science ®Google Scholar
• Lawless , JF , MacKay , RJ and Robinson , JA . 1999 . Analysis of variation transmission in manufacturing process—Part I . J. Qual. Technol. , 31 : 131 – 142 .
   Web of Science ®Google Scholar
• Mallat , SG . 1989 . A theory for multiresolution signal decomposition: the wavelet representation . IEEE Trans. Pattern Anal. Mach. Intell. , 11 : 674 – 693 .
   Web of Science ®Google Scholar
• Montgomery , DC . 2001 . Introduction to Statistical Quality Control , 4th ed. , New York : Wiley .
   Google Scholar
• Mori , K , Kasashima , N , Yoshioka , T and Ueno , Y . 1996 . Prediction of spalling on a ball bearing by applying the discrete wavelet transform to vibration signals . Wear , 195 : 162 – 168 .
   Google Scholar
• Nair , VN , Taam , W and Ye , KQ . 2002 . Analysis of functional responses from robust design studies . J. Qual. Technol. , 34 : 355 – 370 .
   Web of Science ®Google Scholar
• Ramsay , JO and Silverman , BW . 1997 . Functional Data Analysis , New York : Springer .
   Google Scholar
• Rao , RM and Bopardikar , AS . 1998 . Wavelet Transforms: Introduction to Theory and Applications , Reading, MA : Addison-Wesley .
   Google Scholar
• Rying , EA , Bilbro , GL and Lu , JC . 2002 . Focused local learning with wavelet neural networks . IEEE Trans. Neural Netw. , 13 : 304 – 319 .
   PubMedGoogle Scholar
• Serfling , RJ . 1980 . Approximation Theorems of Mathematical Statistics , New York : Wiley .
   Google Scholar
• Vidakovic , B . 1999 . Statistical Modeling by Wavelets , New York : Wiley .
   Google Scholar
• Zhou , W . 1998 . Structured wavelet antenna signal modeling and random scale generalized linear model , North Carolina State University . PhD thesis
   Google Scholar