Coupling matrix sign reversal transformation

Ranjan Das; Qingfeng Zhang; Abhishek Kandwal

doi:10.1109/IEEE-IWS.2018.8400848

Coupling matrix sign reversal transformation

Ranjan Das, Qingfeng Zhang, Abhishek Kandwal

Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review

Abstract

This paper explores a new transformation of coupling matrix (CM) called sign reversal technique. It is mathematically proved that, sign reversal transformation holds S-parameter invariant property by preserving eigen values and eigen vectors of original CM. It is also showed that, sign reversal operation offer another type of similarity transformation. Proposed sign reversal technique is independent of filter order and coupling topology. Also, this technique is equally applicable to resonating as well as non-resonating nodes which provide more degree of freedom for design. Two different lossless filter examples are examined to verify this technique. Finally, a 4^th-order inline bandpass filter is designed and simulated to illustrate sign reversal technique in bandpass frequency domain.

Original language	English
Title of host publication	2018 IEEE MTT-S International Wireless Symposium, IWS 2018 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1-3
Number of pages	3
ISBN (Electronic)	9781538663462
DOIs	https://doi.org/10.1109/IEEE-IWS.2018.8400848
Publication status	Published - 29 Jun 2018
Externally published	Yes
Event	2018 IEEE MTT-S International Wireless Symposium, IWS 2018 - Chengdu, China Duration: 6 May 2018 → 9 May 2018

Publication series

Name	2018 IEEE MTT-S International Wireless Symposium, IWS 2018 - Proceedings

Conference

Conference	2018 IEEE MTT-S International Wireless Symposium, IWS 2018
Country/Territory	China
City	Chengdu
Period	6/05/18 → 9/05/18

Keywords

coupling matrix (CM)
eigen value
lossless filter
S-parameter
Similar matrices
similarity transformation

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10.1109/IEEE-IWS.2018.8400848

Cite this

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title = "Coupling matrix sign reversal transformation",

abstract = "This paper explores a new transformation of coupling matrix (CM) called sign reversal technique. It is mathematically proved that, sign reversal transformation holds S-parameter invariant property by preserving eigen values and eigen vectors of original CM. It is also showed that, sign reversal operation offer another type of similarity transformation. Proposed sign reversal technique is independent of filter order and coupling topology. Also, this technique is equally applicable to resonating as well as non-resonating nodes which provide more degree of freedom for design. Two different lossless filter examples are examined to verify this technique. Finally, a 4th-order inline bandpass filter is designed and simulated to illustrate sign reversal technique in bandpass frequency domain.",

keywords = "coupling matrix (CM), eigen value, lossless filter, S-parameter, Similar matrices, similarity transformation",

author = "Ranjan Das and Qingfeng Zhang and Abhishek Kandwal",

note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 2018 IEEE MTT-S International Wireless Symposium, IWS 2018 ; Conference date: 06-05-2018 Through 09-05-2018",

year = "2018",

month = jun,

day = "29",

doi = "10.1109/IEEE-IWS.2018.8400848",

language = "English",

series = "2018 IEEE MTT-S International Wireless Symposium, IWS 2018 - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "1--3",

booktitle = "2018 IEEE MTT-S International Wireless Symposium, IWS 2018 - Proceedings",

}

Das, R, Zhang, Q & Kandwal, A 2018, Coupling matrix sign reversal transformation. in 2018 IEEE MTT-S International Wireless Symposium, IWS 2018 - Proceedings. 2018 IEEE MTT-S International Wireless Symposium, IWS 2018 - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 1-3, 2018 IEEE MTT-S International Wireless Symposium, IWS 2018, Chengdu, China, 6/05/18. https://doi.org/10.1109/IEEE-IWS.2018.8400848

Coupling matrix sign reversal transformation. / Das, Ranjan; Zhang, Qingfeng; Kandwal, Abhishek.
2018 IEEE MTT-S International Wireless Symposium, IWS 2018 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2018. p. 1-3 (2018 IEEE MTT-S International Wireless Symposium, IWS 2018 - Proceedings).

Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review

TY - GEN

T1 - Coupling matrix sign reversal transformation

AU - Das, Ranjan

AU - Zhang, Qingfeng

AU - Kandwal, Abhishek

PY - 2018/6/29

Y1 - 2018/6/29

N2 - This paper explores a new transformation of coupling matrix (CM) called sign reversal technique. It is mathematically proved that, sign reversal transformation holds S-parameter invariant property by preserving eigen values and eigen vectors of original CM. It is also showed that, sign reversal operation offer another type of similarity transformation. Proposed sign reversal technique is independent of filter order and coupling topology. Also, this technique is equally applicable to resonating as well as non-resonating nodes which provide more degree of freedom for design. Two different lossless filter examples are examined to verify this technique. Finally, a 4th-order inline bandpass filter is designed and simulated to illustrate sign reversal technique in bandpass frequency domain.

AB - This paper explores a new transformation of coupling matrix (CM) called sign reversal technique. It is mathematically proved that, sign reversal transformation holds S-parameter invariant property by preserving eigen values and eigen vectors of original CM. It is also showed that, sign reversal operation offer another type of similarity transformation. Proposed sign reversal technique is independent of filter order and coupling topology. Also, this technique is equally applicable to resonating as well as non-resonating nodes which provide more degree of freedom for design. Two different lossless filter examples are examined to verify this technique. Finally, a 4th-order inline bandpass filter is designed and simulated to illustrate sign reversal technique in bandpass frequency domain.

KW - coupling matrix (CM)

KW - eigen value

KW - lossless filter

KW - S-parameter

KW - Similar matrices

KW - similarity transformation

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M3 - Conference Proceeding

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T3 - 2018 IEEE MTT-S International Wireless Symposium, IWS 2018 - Proceedings

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BT - 2018 IEEE MTT-S International Wireless Symposium, IWS 2018 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2018 IEEE MTT-S International Wireless Symposium, IWS 2018

Y2 - 6 May 2018 through 9 May 2018

ER -

Coupling matrix sign reversal transformation

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Keywords

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