ibm research reportibrahim elfadel, a. e. ruehli ibm research division thomas j. watson research...
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RC22284 (W0112-050) December 18, 2001Electrical Engineering
IBM Research Report
A comparative study of two transient analysis algorithms forlossy transmission lines with frequency-dependent data
Ibrahim Elfadel, A. E. RuehliIBM Research Division
Thomas J. Watson Research CenterP.O. Box 218
Yorktown Heights, NY 10598
H-M HuangIBM Microelectronics Division
Route 52, Hopewell Junction, N.Y.12533
A. Dounavis, M.S. NakhlaDepartment of Electronics,
Carleton University, Ottawa ON, K1S 5B6, Canada
Research DivisionAlmaden - Austin - Beijing - Delhi - Haifa - India - T. J. Watson - Tokyo - Zurich
LIMITED DISTRIBUTION NOTICE: This report has been submitted for publication outside of IBM and will probably be copyrighted if accepted for publication. It has been issued as a Research Reportfor early dissemination of its contents. In view of the transfer of copyright to the outside publisher, its distribution outside of IBM prior to publication should be limited to peer communications and specific requests.After outside publication, requests should be filled only by reprints or legally obtained copies of the article (e.g. , payment of royalties). Copies may be requested from IBM T. J. Watson Research Center , P. O. Box 218, Yorktown Heights, NY 10598 USA (email: [email protected]). Some reports are available on the internet at http://domino.watson.ibm.com/library/CyberDig.nsf/home .
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single line, d = 2.5cm, near end
MoCMPA: order 4MPA: order 8
Voltage (volt)
Time (ns)0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1.00
1.10
0.00 2.00 4.00 6.00 8.00 10.00
single line, d = 2.5cm, far end
MoCMPA: order 4MPA: order 8
Voltage (volt)
Time (ns)0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1.00
1.10
1.20
0.00 2.00 4.00 6.00 8.00 10.00A�BDC AFE�C
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B KWM"T�h}[lkLM2X B U5M2Z B [lJ�KNM"H:Zv[lk B [[lkLM6~dKNM\XNJLn)[9hFKNTDU B VLV�KNT.��HYU B [lH:ZLI B cLH:XW[lKWH E J�[lM�c��^V B K B U5M\[lM\KX�~�X�[lM\U]|H:[Nk B"� ZLH:[NM6��cLHYU5M�ZLXWHYTDZ B ngT�ZLM so� Za_7e�f>��TDZLM9] B ~�T�h z B Z z M\nYHYZ�I"[lkLM\XNM#TDX z HYn:n B [NHYTDZLX�HYXS[NT2HYZ z KNM B XNMP[lk�Me B c-�M B VLVLKNT.��HYU B [NHYTDZvT�KNcLM\K�� s f+X�H:Zd[lkLM z B XNM5T�h-n:JLU5VgM\c��}��cLM\n B ~dn:HYZLM\XPJLXNM\c�[lT{U5T�cLM\n�nYT�XNXNn:M�XWX[lK B ZLXWU�H:XNXNH:TDZ�nYH:ZLM�X\��TDZ�MPXNkLTDJ�nYc�M6��V�M z [�[lk B [j[lkLMPn:TDZLIDM\K-[lk�Mmn:HYZLM<��[NkLMPkLHYI�kLM�KS[NkLM#e B c'�MmT�KNcLM\KjZLM�M\cLM�c[lT z B V�[NJLKNM"[NkLM"H:ZLH:[NH B n�n:HYZLMmcLM�n B ~ s G�H:IDJLKNM y XNk�T@]|XPI�T�T�c B I�KNM�M\U�M\Zr[ E M6[^]-M\M�Z�_aTbR B ZLc�_aegf�hFTDK B
nYH:ZLM9T�h�nYM\ZLI�[lk{�>u�p/�D����hFT�K B kLH:IDkLM\K��^T�KNcLM\KjU�T�cLM�ng]|H:[lk{��u�w�� so� kLHYX|ZLM\M�cahFT�KjkLHYIDk�M�KjTDKWcLM�K�e B c-�M
z B Z B nYXWT E M�JLZLc�M�KNX�[lT�T�c�H:Z nYH:IDkr[mT�hj[lkLM�h B z [�[lk B [2_7egfqHYX ELB XNM\c�TDZ B K B [lH:TDZ B n}M6��V B ZLXNH:TDZ�T�hj[lk�M[lK B ZLX�hFM�KmU B [NKNH¡�d¢ A�£@CPB KNTDJ�ZLc�[NkLM�V�TDH:Zb[��du1���¤]|kLM\KNM��7KNM\VLKNM\XNM�Zr[NX"[lkLM5nYH:ZLM2nYM\ZLI�[lk s�¥ M\Z z M<��nYTDZ�InYH:ZLM�XS]|H:nYngKNM�¦bJLH:KNM#U5TDKNM9[NM�KNU5XjHYZ�[NkLM#M6��V B ZLXWHYTDZ�[lT§IDM6[ B Z B z�z M�V�[ B�E nYM B V�VLKNT.��HYU B [lH:TDZ s
� kLMmU B ��H:U"JLU B�E XWTDnYJ�[NM9¨ B nYJLMPT<h¤[NkLM#cLH:©gM�KWM�Z z M E M\[^]'M�M\Z7[lk�M>_{TbRª] B ¨DM\hFT�KNU B ZLc�[lk�M>_aegfi] B ¨DM��hFTDKWU«T@¨�M�K5[lkLMaXNHYU>JLn B [NHYTDZ¬H:Zb[NM�K�¨ B n�H:X§IDH:¨�M�ZH:Z®G�H:IDJLKWM7¯`hFTDK E T�[Nk°[NkLM7ZLM B K�M\ZLc A±BrC2B ZLc®[NkLM{h B KM�Z�c AFE�C6s¬� kLM\XNMa[^]'T�VLnYT�[NX2XNJLU5U B KNH:²�M�¦bJLH:[NM�]-M\nYnS[lk�M E M�k B ¨�H:TDK2T�h9_7egf�KNM\n B [NH:¨DM³[NT�_aTbR s}� kLM\~XNk�T@]1[lk B [2hFTDK B IDH:¨�M�Z¬nYH:ZLM³nYM\ZLI�[Nk [lkLM�]'TDKNX�[W� z B XNM�cLH)©´M\KNM\Z z M E M\[^]'M�M�Z_aTbR B ZLc°_7egfµcLM z KWM B XWM�X
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single line, d = 10cm, near end
MoCMPA:order 12MPA:order 20
Voltage (volt)
Time (ns)0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1.00
1.10
0.00 2.00 4.00 6.00 8.00 10.00
single line, d = 10cm, far end
MoCMPA: order 12MPA: order 20
Voltage (volt)
Time (ns)0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1.00
1.10
1.20
0.00 2.00 4.00 6.00 8.00 10.00���� �"!#
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C*+=3G+=8*C*+>8�9r1�8�H"),+>�B(*+=8*Y=� S _\Kg+hM�%78*+JM�+>8*'9LK�%76��AWfR�X��:�|��_\Kg+h$&�lE�e U %�8*C*(*Y:9 � 8*Y=+ � 8*C�),+>65%76~9 � 8*Y=+
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_\K*+rC*%7+=M7+>Y:9L)5%7YlM71�6,6[9 � 8*'�+>8�9P%�6\ª~«B¬tJW®Xg��X�X�a�- S _\K*+oY>1�(g3*M7+=C�M7%�8*+�%76[C*)5%�n�+=8 � 8gC�M71 � C*+>C � 6k6,K*1�;[8b%�8
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4 6 8 10 12 14 16 18 20 22 2410
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40
50
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80
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5cm10cm15cm
4 6 8 10 12 14 16 18 20 22 240
50
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150
200
250
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imum
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coupled line, d = 10cm, active, near end
MoCMPA: order 20
Voltage (volt)
Time (ns)0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1.00
1.10
0.00 2.00 4.00 6.00 8.00 10.00
coupled line, d = 10cm, active, far end
MoCMPA: order 20
Voltage (volt)
Time (ns)0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1.00
1.10
1.20
1.30
0.00 2.00 4.00 6.00 8.00 10.00Õ�Ö�× Õ"Ø#×
Ù&Ú�Û�Ü*Ý,ÞJßgà�á�â�ã4ä Ö Ý5Ú7å,â�æ Ø Þ:ç<è�Þ=Þ>æ`éAâ�á Ö ægê�é�ëzìîí"â�Ý�çLïgÞ]ð>â�Ü*ägñ7Þ>ê�ñ7Ú�æ*ÞJâ�í�ò�óôìPð=ç,Ú�õ�Þ4ñ�Ú7æ*Þà ÕZÖ�× æ*Þ Ö ÝÞ>ægê Õ"Ø#× í Ö Ý\Þ>æ*êtó
Ù&Ú�Û�Ü*Ý,Þoòió©ö\ï*Þ�Ú7æ*ä*Ü�ç[å,Ú7Û�æ Ö ñ÷Ú�æBç,â]çLï*Þ Ö ð:çLÚ�õ�Þ�ñ7Ú7ægÞ�å5è[ÚsçLð{ï*Þ=åkí"Ý5â�ã§øJçLâcù�õ�â�ñsç[Ú7æxú�ø�ägå>ó
ö\ï*Þhé�ëzìûã Ö ð=Ý,â�ã4â�êgÞ>ñ&Ügå,Þ>ê�çLâcã4â�êgÞ>ñQç,ï*Ú7ålð=â�Ü*ä*ñ�Þ>ê�ñ7Ú�æ*ÞJï Ö åoâ�Ý,ê*Þ=Ýoú�øgó]Ù&Ú�Û�Ü*Ý5Þ]ß.å,ï*â�è[å�Þ:ü�ð>Þ=ñ7ñ�Þ>æ�ç
Ö Û�Ý5Þ>Þ=ãhÞ=æBç Ø Þ:ç<è�Þ=Þ>æVéAâBá Ö æ*ê�é�ëzìýí"â�ÝPç,ï*Þ Ø Þ>ï Ö õiÚ7â�ÝPâ�í Ø âçLïbçLïgÞ]æ*Þ Ö Ý Ö æ*êbí Ö ÝmÞ>æ*ê�â�í©ç,ï*Þ Ö ð=ç,Ú�õ�Þ
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ö\ï*Ú�åxÞTü Ö ãhägñ7Þ�Ú7ñ�ñ7Ü*å~çLÝ Ö çLÞ>åOç,ï*Þ�í Ö ð=çcçLï Ö ç Ø â�ç,ï®éxâBá Ö æ*ê é�ëzì ð Ö æ ã4â�êgÞ>ñPí"Ý5Þ � Ü*Þ>ægð=ÿ��<ê*Þ=äGÞ=æ*ê*Þ=æBç
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coupled line, d = 10cm, quiet, near end
MoCMPA: order 20
Voltage (volt) x 10-3
Time (ns)-70.00
-60.00
-50.00
-40.00
-30.00
-20.00
-10.00
0.00
10.00
20.00
30.00
0.00 2.00 4.00 6.00 8.00 10.00
coupled line, d = 10cm, quiet, far end
MoCMPA: order 20
Voltage (volt) x 10-3
Time (ns)-100.00
-80.00
-60.00
-40.00
-20.00
0.00
20.00
40.00
60.00
80.00
0.00 2.00 4.00 6.00 8.00 10.00HJI�K H�LMK
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0 1 2 3 4 5 6 7 8 9 10−70
−60
−50
−40
−30
−20
−10
0
10
20
30
Time (ns)
Vol
tage
(m
Vol
ts)
MPA: order 20 Modified MPA: order 9
0 1 2 3 4 5 6 7 8 9 10−70
−60
−50
−40
−30
−20
−10
0
10
20
30
Time (ns)
Vol
tage
(m
Vol
ts)
MPA: order 20 Modified MPA: order 9
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