Investigation on Selection of Optimal Mother Wavelet ... - Science Direct

Available online at www.sciencedirect.com

ScienceDirect Procedia Engineering 181 (2017) 531 – 537

WK,QWHUQDWLRQDO&RQIHUHQFH,QWHUGLVFLSOLQDULW\LQ(QJLQHHULQJ,17(5(1*

,QYHVWLJDWLRQRQ6HOHFWLRQRI2SWLPDO0RWKHU:DYHOHWLQ0RGH 6KDSHEDVHG'DPDJH'HWHFWLRQ([HUFLVH 1DUHVK*-DLVZDOD 'HHSDN:3DQGHE a

PVG’s College of Engineering & Technology, Pune-411046, India b College of Engineering, Pune-411005, India

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© 2017 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license ‹7KH$XWKRUV3XEOLVKHGE\(OVHYLHU/WG (http://creativecommons.org/licenses/by-nc-nd/4.0/). 3HHUUHYLHZXQGHUUHVSRQVLELOLW\RIWKHRUJDQL]LQJFRPPLWWHHRI,17(5(1* Peer-review under responsibility of the organizing committee of INTER-ENG 2016 Keywords:'DPDJHGHWHFWLRQ0RGH6KDSH6LJQDO3URFHVVLQJ:DYHOHWV

,QWURGXFWLRQ 6WUXFWXUDOGHJUDGDWLRQRIWKHFULWLFDOVWUXFWXUHVEHFDXVHRIGDPDJHVVXFKDVFUDFNVGHODPLQDWLRQVHWFRUEHFDXVH RI DJHLQJ DUH LQHYLWDEOH LQ DHURVSDFH DHURQDXWLFDO PHFKDQLFDO DQG FLYLO HQJLQHHULQJ GXULQJ WKHLU VHUYLFH OLIH 7R 



&RUUHVSRQGLQJDXWKRU7HOID[ E-mail address:QJMBPHFK#SYJFRHWDFLQ

1877-7058 © 2017 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). Peer-review under responsibility of the organizing committee of INTER-ENG 2016

doi:10.1016/j.proeng.2017.02.430

532

Naresh G. Jaiswal and Deepak W. Pande / Procedia Engineering 181 (2017) 531 – 537

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݂ሺ‫ݐ‬ሻ ߰ሺ‫ݐ‬ሻ ܽǡ ܾ ߰෠ሺ‫ݐ‬ሻ

VLJQDOWREHDQDO\]HG PRWKHUZDYHOHW GLODWLRQDQGWUDQVODWLRQSDUDPHWHU IRXULHUWUDQVIRUPRI߰ሺ‫ݐ‬ሻ

1XPHULFDO0RGDO$QDO\VLV 7R DVFHUWDLQ WKH HIIHFWLYHQHVV RI YDULRXV ELRUWKRJRQDO DQG UHYHUVH ELRUWKRJRQDO ZDYHOHWV LQ GDPDJH LGHQWLILFDWLRQ ILQLWH HOHPHQW PRGDO DQDO\VLV DQG VXEVHTXHQW FRQWLQXRXV ZDYHOHW DQDO\VLV LV GRQH IRU FDQWLOHYHU PRGHO7KHGDPDJHLVVLPXODWHGDVWKLQWUDQVYHUVHFXW7RLQWHQVLI\WKHVHYHULW\RIGDPDJHWKHFXWVDUHPDGHGHHSHU

533

Naresh G. Jaiswal and Deepak W. Pande / Procedia Engineering 181 (2017) 531 – 537

7KH FDQWLOHYHU EHDP OHQJWK‫ ܮ‬ൌ ͷͲͲ݉݉  FURVV VHFWLRQܾ ൈ ݄ ൌ ͷͲ݉݉ ൈ ͷ݉݉Ǥ7KH PDWHULDO SURSHUWLHV DUH  @ '0RQWDOYmR1000DLD$055LEHLUR$UHYLHZRIYLEUDWLRQEDVHGVWUXFWXUDOKHDOWKPRQLWRULQJZLWKVSHFLDOHPSKDVLVRQFRPSRVLWH PDWHULDOV6KRFNDQG9LEUDWLRQ'LJHVW  ± >@ 690RGDN7..XQGUD%&1DNUD&RPSDUDWLYHVWXG\RIPRGHOXSGDWLQJPHWKRGVXVLQJVLPXODWHGH[SHULPHQWDOGDWD&RPSXWHUVDQG 6WUXFWXUHV  ± >@ '33DWLO6.0DLWL([SHULPHQWDOYHULILFDWLRQRIDPHWKRGRIGHWHFWLRQRIPXOWLSOHFUDFNVLQEHDPVEDVHGRQIUHTXHQF\PHDVXUHPHQWV -RXUQDORI6RXQGDQG9LEUDWLRQ   >@ &6+DPH\:/HVWDUL34LDR*6RQJ([SHULPHQWDOGDPDJHLGHQWLILFDWLRQRIFDUERQHSR[\FRPSRVLWHEHDPVXVLQJFXUYDWXUHPRGH VKDSHV6WUXFWXUDO+HDOWK0RQLWRULQJ  ± >@ $.3DQGH\0%LVZDVDQG006DPPDQ'DPDJHGHWHFWLRQIURPFKDQJHVLQFXUYDWXUHPRGHVKDSHV-RXUQDORI6RXQGDQG9LEUDWLRQ    >@ 70:KDOHQ7KHEHKDYLRURIKLJKHURUGHUPRGHVKDSHGHULYDWLYHVLQGDPDJHGEHDPOLNHVWUXFWXUHV-RXUQDORIVRXQGDQGYLEUDWLRQ    >@ :-@&-/X@&&&KDQJ/:&KHQ9LEUDWLRQGDPDJHGHWHFWLRQRID7LPRVKHQNREHDPE\VSDWLDOZDYHOHWEDVHGDSSURDFK$SSOLHG$FRXVWLFV   ± >@$.DWXQLQ,GHQWLILFDWLRQRIPXOWLSOHFUDFNVLQFRPSRVLWHEHDPVXVLQJGLVFUHWHZDYHOHWWUDQVIRUP6FLHQWLILF3UREOHPVRI0DFKLQHV 2SHUDWLRQDQG0DLQWHQDQFH  ±

537