**Education**

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Ph.D. Electrical Engineering*

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University of Illinois, Urbana-Champaign, 1964*

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M.S. Electrical Engineering*

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Ohio University, 1961*

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B.S. Electrical Engineering*

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Ohio University, 1960*

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**Research Interests:**

Current research interests are in the areas of circuits and systems, including broadband matching, applied graph theory, active networks, net theory, operations research, feedback analysis, signal processing, and filters. Also of special interest are the theory of algorithms and, in particular, the applications of graph theory to VLSI layout and parallel computations.

**Publications, 1990 - Present:**

W.K. Chen, *Linear Networks and Systems: Algorithms and Computer-Aided
Implementations*. Singapore: World Scientific Publishing Co. Pte. Ltd.,
1990.

Volume 1. *Fundamentals*. 337 pp. and 280 illustrations.

Volume 2. *Fourier Series and Transforms*. 529 pp. and 254
illustrations.

W.K. Chen, *Active Network Analysis*, Singapore: World Scientific
Publishing Co. Pte. Ltd., 642 pp., 398 illustrations, 1991.

W.K. Chen, X.Y. Wu, S.M. Wu and Z.M. Wang, *Modern Network Analysis*.
Beijing, China: The People's Posts and Telecommunications Publishing Co., 1343
pp., 739 illustrations, 1992.

W.K. Chen, *Active Network Analysis: Problems and Solutions*, Singapore:
World Scientific Publishing Co. Pte. Ltd., 306 pp., 119 illustrations, 1993.

W.K. Chen, *Linear Networks and Systems: Problems and Solutions*,
Singapore: World Scientific Publishing Co. Pte. Ltd., 457 pp., 511
illustrations, 1994.

W.K. Chen (editor-in-chief), *The Circuits and Filters Handbook*, Boca
Raton, FL: The CRC Press, and New York: The IEEE Press, 2879 pp., 2030
illustrations, 1995.

Y.S. Zhu and W.K. Chen, *Computer-Aided Design of Communication
Networks*, Singapore: World Scientific Publishing Co. Pte. Ltd., xxx pp.,
xxx, illustrations, 1996.

W.K. Chen and K. Wang, "Placement," pp. 96-120, in *Progress in Computer
Aided VLSI Design*, G. Zobrist (editor), Norwood, NJ: Ablex Publishing
Corp., Chapter 3, Vol. 5, 1993.

W.K. Chen, "Dimensional Analysis," pp. 204-223, in* Kirk-Othmer Encyclopedia
of Chemical Technology*, M. Howe-Grant and J. I. Kroschwitz (editors), New
York: Wiley-Interscience, Fourth Edition, Vol. 8, 1993.

W.K. Chen, "State Variables," pp. 169-178, in *The Electrical Engineering
Handbook*, R. C. Dorf (editor), Littleton, CA: CRC Press, 1993.

W.H. Liang, W.K. Chen, and S.Q. Gao, "Applications of Lattice Theory to Graph
Decomposition," *Circuits, Systems and Signal Processing*, Vol. 9, No. 2,
pp. 181-195, 1990.

Y.S. Zhu and W.K. Chen, "On the Design of Butterworth or Chebyshev Broadband
Impedance-Matching Networks," *Circuits, Systems and Signal Processing*,
Vol. 9, No. 1, pp. 55-73, 1990.

J.A. Gong and W.K. Chen, "On the Design of a Multiplexer with a Common
Junction," *Circuits, Systems and Signal Processing*, Vol. 9, No. 1, pp.
75-97, 1990.

W.K. Chen and R.S. Liang, "A General n-port Network Reciprocity Theorem,"
*IEEE Transactions on Education*, Vol. 33, No. 4, pp. 360-362, November
1990.

W.K. Chen and Q.Z. Zha, "The Synthesis of Chebyshev Broad-Band
Impedance-Matching Ladder Networks," *Journal of the Franklin Institute*,
Vol. 327, No. 3, pp. 377-402, 1990.

Z.X. Lin and W.K. Chen, "A New Approach to Cascade Synthesis," *Journal of
the Franklin Institute*, Vol. 328, No. 1, pp. 85-101, January 1991.

Q.Z. Zha and W.K. Chen, "Broad-band Impedance Matching of the RLC Generator and
Load," *Journal of the Franklin Institute*, Vol. 328, No. 2/3, pp.
317-337, February/March 1991.

M.D. Tong and W.K. Chen, "On Linear Multivariable and Multiloop Feedback
Networks," *IEEE Transactions on Circuits and Systems*, Vol. CAS-38, No.
8, pp. 869-874, August 1991.

W.K. Chen and J. Lu, "On the Assignment of Loop Sets to Graphs," *IEEE
Transactions on Circuits and Systems*, Vol. CAS-38, No. 9, pp. 1090-1092,
September 1991.

H.Y. Wang and W.K. Chen, "An Extension of a Dual Theorem on the Summation of
Return Differences,"* IEEE Transactions on Circuits and Systems*, Vol.
CAS-38, No. 9, pp. 1110-1113, September 1991.

Y.S. Zhu and W.K. Chen, "A CAD Method for the Design of a Doubly-Matched
Broadband Network Having Complex Transmission Zeros," *Journal of Circuits,
Systems and Computers,* Vol. 1, No. 4, pp. 401-415, 1991.

H.Y. Wang, W.J. Su and W.K. Chen, "The Indefinite-Admittance Matrix of a
Constrained Network," *Journal of the Franklin Institute*, Vol. 329, No.
2, pp. 333-346, 1992.

J.A. Gong and W.K. Chen, "Computer-Aided Design of a Singly-Matched (S-M)
Multiplexer with a Common Junction," *IEEE Transactions on Microwave Theory
and Techniques*, Vol. 41, No. 5, pp. 886-890, May 1993.

Y.S. Zhu and W.K. Chen, "On Real and Complex Normalization," *Circuits,
Systems, and Signal Processing*, Vol. 12, No. 4, pp. 579-587, 1993.

M.D. Tong and W.K. Chen, "A Novel Proof of the Souriau-Frame-Faddeev
Algorithm," *IEEE Transactions on Automatic Control*, Vol. 38, No. 9, pp.
1447-1448, 1993.

J.L. Wan and W.K. Chen, "On Consistency of the Complex Normalized Scattering
Matrix of Multi-Port Networks," *Journal of the Franklin Institute*, Vol.
332, No. 3, pp. 441-451, 1993.

Y.S. Zhu and W.K. Chen, "A Useful Identity in Circuit Theory," *Journal of
the Franklin Institute*, Vol. 330, No. 6, pp. 1051-1061, 1993.

Y.S. Zhu and W.K. Chen, "A Real-Frequency Approach to the Design of a Low-Pass
High-Pass Reactance-Ladder Diplexer, "*Journal of Circuits, Systems and
Computers*, Vol. 3, No. 4, pp. 773-795, 1993.

X.Y. Wu, H. Chen, W. Tan and W.K. Chen, "The Improvement of the Hardware Design
of Artificial CNN and a Fast Algorithm of CNN Component Detector," *Journal
of the Franklin Institute*, Vol. 330, No. 6, pp. 1005-1015, 1993.

X.Y. Wu, C. Liu and W.K. Chen, "A Unified Method for Fast Modeling of DC-DC
Switching Converters,"*Journal of the Franklin Institute*, Vol. 330, No.
6, pp. 1017-1049, 1993.

B. Zhu, X. Wu, W. Zhuang, and W.K. Chen, "A New One-and-Half Layer Channel
Routing Algorithm Based on Assigning Resources for CMOS Gate Array," *IEEE
Transactions on Computer-Aided Design of Integrated Circuits and Systems*,
Vol. 12, No. 2, pp. 250-264, February 1993.

A. Lu, X. Wu, W. Zhuang, and W.K. Chen, "A New Global Routing Subsystem for
CMOS Gate Arrays," *IEE Proceedings: Part G Circuits, Devices and
Systems*, Vol. 141, No. 5, pp. 421-426, October 1994.

Q.Z. Zha and W.K. Chen, "Synthesis of an *n*-Port Matching Network"
*Journal of the Franklin Institute*, Vol. 331B, No. 4, pp. 449-461,
1994.

J.L. Wan and W.K. Chen, "Unified Theory of Compatible Impedances," *IEE
Proceedings: Part G Circuits, Devices and Systems*, Vol. 142, No. 1, pp.
15-20, February 1995.

J.L. Wan and W.K. Chen, "A Set of Youla's Equivalent Constraints on Broadband
Matching," *IEEE Transactions on Circuits and Systems*, *Series*
*I*, Vol. CAS-42, No. 5, pp. 285-288, May 1995.

Y.S. Zhu and W.K. Chen, "The *U*-Function under Lossless Nonreciprocal
Imbedding," *Circuits, Systems and Signal Processing*, Vol. 13, No. x,
pp. xxx-xxx, 1995.

X.Y. Wu, Y.S. Xia, J. Li, and W.K. Chen, "A High Performance Neural Network for
Solving Linear and Quadratic Programming Problems," *IEEE Transactions on
Neural Networks*, Vol. xx, No. x, pp. xxx-xxx, 1996.

B.F. Wang and W.J. Zhang and W.K. Chen, "A Systematic Design of Multilayer
Composite-Glass with Thin Film Metallic Layer," *IEEE Transactions on
Microwave Theory and Techniques*, Vol. xx, No. x, pp. xxx-xxx-, 1996.

S. Shinoda, W.K. Chen, T. Yasuda, Y. Kajitani, and W. Mayeda, "A Necessary and
Sufficient Condition for Any Tree of a Connected Graph to be a DFS-Tree of One
of Its 2-Isomorphic Graphs," *Proceedings of the IEEE International Symposium
on Circuits and Systems*, New Orleans, Louisiana, pp. 2841-2844, May 1-3,
1990.

H. Tang and W.K. Chen, "Generation of Rectangular Duals of a Planar
Triangulated Graph by Elementary Transformations," *Proceedings of the IEEE
International Symposium on Circuits and Systems*, New Orleans, Louisiana,
pp. 2857-2860, May 1-3, 1990.

Q.Z. Zha and W.K. Chen, "Broadband Impedance Matching of the RLC Generator and
Load," *Proceedings of the IEEE International Symposium on Circuits and
Systems*, New Orleans, Louisiana, pp. 2774-2777, May 1-3, 1990.

W.K. Chen and Q.Z. Zha, "Factorizations and Complex Normalization of Scattering
Matrices," *Proceedings of the Thirty-Fourth Midwest Symposium on Circuits
and Systems*, Monterey, California, pp. 716-718, May 14-17, 1991.

W.K. Chen, "The Use of the Matrix Signal-Flow Graph in State-Space Formulation
of Feedback Theory," *Proceedings of the IEEE International Symposium on
Circuits and Systems*, Singapore, pp. 1005-1008, June 11-14, 1991.

Q.Z. Zha and W.K. Chen, "Synthesis of an n-Port Matching Network,"
*Proceedings of the IEEE International Symposium on Circuits and Systems*,
Singapore, pp. 1259-1262, June 11-14, 1991.

W.K. Chen and Q.Z. Zha, "State-Space Formulation of Feedback Theory,"
*Proceedings of the IEEE International Symposium on Circuits and Systems*,
Singapore, pp. 2893-2896, June 11-14, 1991.

W.K. Chen and H.Y. Wang, "On Complementarity of a Semi-Indefinite Network,"
*Proceedings of the IEEE International Symposium on Circuits and Systems*,
San Diego, California, pp. 1756-1759, May 10-13, 1992. IEEE Publication No.
92CH3139-3.

Y.S. Zhu and W.K. Chen, "A CAD Method for the Design of a Doubly-Matched
Broadband Network Having Complex Transmission Zeros," *Proceedings of the
IEEE International Symposium on Circuits and Systems*, San Diego,
California, pp. 1965-1968, May 10-13, 1992. IEEE Publication No. 92CH3139-3.

H. Tang and W.K. Chen, "Floorplanning via Graph Dualization with Subsets of
Rectangular and L-Shaped Modules," *Proceedings of the Thirty-Fifth Midwest
Symposium on Circuits and Systems*, Washington, D.C., pp. 1040-1043, August
9-12, 1992.

T. Takahashi, K. Tochihara, C. Yamada, M. Sengoku, T. Abe, and W.K. Chen,
"Minimum Order of Unique-Center with Specified Radius and Diameter, "
*Proceedings of the IEEE Asia-Pacific Conference on Circuits and Systems*,
Sydney, Australia, pp. 74-78, December 8-11, 1992.

W.K. Chen, "Broadband Matching: Theory and CAD Solutions," *Proceedings of
the International Computer Symposium*, Taichung, Taiwan, pp. 1085-1092,
December 13-15, 1992.

J.A. Gong and W.K. Chen, "On the Design of a Doubly-Matched (D-M) Diplexer with
a Common Junction," *Proceedings of the IEEE International Symposium on
Circuits and Systems,* Chicago, Illinois, pp. 1002-1005, May 3-6, 1993.
IEEE Publication No. 93CH3299-5.

K. Wang and W.K Chen, "A Class of Zero Wasted Area Floorplan for VLSI Design,"
*Proceedings of the IEEE International Symposium on Circuits and Systems*,
Chicago, Illinois, pp. 1762-1765, May 3-6, 1993. IEEE Publication No.
93CH3299-5.

W.K. Chen and D.Q. Dai, "Relaxation Algorithm for Load Flow Calculation in
Power Systems," *Proceedings of the International Symposium on Circuits and
Systems*, Chicago, Illinois, pp. 2640-2643, May 3-6, 1993. IEEE Publication
No. 93CH3299-5.

J.L. Wan and W.K. Chen, "On Passive and Active Compatible Impedances,"
*Proceedings of the International Symposium on Circuits and Systems*,
Chicago, Illinois, pp. 2689-2692, May 3-6, 1993. IEEE Publication No.
93CH3299-5.

W.S. Zhou, Y.S. Zhu, and W.K. Chen, "The U-Function under Lossless
Nonreciprocal Imbedding," *Proceedings of the International Symposium on
Circuits and Systems*, Chicago, Illinois, pp. 2701-2704, May 3-6, 1993.
IEEE Publication No. 93CH3299-5.

Y.S. Zhu and W.K. Chen, "A Real-Frequency Approach to the Design of a
Butterworth Diplexer," *Proceedings of the Thirty-Sixth Midwest Symposium on
Circuits and Systems*, Detroit, Michigan, pp. 784-787, August 16-18, 1993.
IEEE Publication No. 93CH3381-1.

R. Gudipati and W.K. Chen, "Explicit Formulas for Element Values of the
Lowpass, Highpass and Bandpass Ladders with Butterworth or Chebyshev Response,"
*Proceedings of the Thirty-Sixth Midwest Symposium on Circuits and
Systems*, Detroit, Michigan, pp. 645-648, August 16-18, 1993. IEEE
Publication No. 93CH3381-1.

K. Wang and W.K. Chen, "Optimum Area Minimization for Nonslicing Floorplans,"
*Proceedings of the Thirty-Sixth Midwest Symposium on Circuits and
Systems*, Detroit, Michigan, pp. 522-525, August 16-18 1993. IEEE
Publication No. 93CH3381-1.

J.L. Wan and W.K. Chen, "A Set of Youla's Equivalent Constraints on Broadband
Matching," *Proceedings of the International Symposium on Circuits and
Systems*, London, England, Volume 5, pp. 165-168, May 30 - June 2, 1994.
IEEE Publication No. 94CH3435-5.

K. Wang and W.K. Chen, "Floorplan Area Optimization Using Network Analogous
Approach," *Proceedings of the International Symposium on Circuits and
Systems*, Seattle, Washington, pp. 167-170, April 29 - May 3, 1995. IEEE
Publication No. 95CH35771.

R. Gudipati and W.K. Chen, "Explicit Formulas for the Design of Broadband
Matching Bandpass Equalizers with Chebyshev Response," *Proceedings of the
International Symposium on Circuits and Systems*, Seattle, Washington, pp.
1644-1647, April 29-May 3, 1995. IEEE Publication No. 95CH35771.

M.D. Tong and W.K. Chen, "Application of Return Difference Matrix to Stability
Analysis for Multivariable Feedback Networks," *Proceedings of the
International Symposium on Circuits and Systems*, Seattle, Washington, pp.
1656-1659, April 29-May 3, 1995. IEEE Publication No. 95CH35771.

W.K. Chen, "Squaring Rectangles and VLSI Layouts," *Proceedings of the
International Conference on Neural Networks and Signal Processing*, Nanjing,
China, pp. xxx-xxx, December 10-13, 1995.