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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences 2008 E91-A(2):554-556; doi:10.1093/ietfec/e91-a.2.554
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Copyright © 2008 The Institute of Electronics, Information and Communication Engineers

Special Section on Analog Circuit Techniques and Related Topics -- Letters

A Polyphase Transfer Function Design Based on Frequency Transformation from Prototype LPF

Cosy MUTO1

1 The author is with the Center for Human Quality of Life through IT, Kyushu Institute of Technology, Kitakyushu-shi, 808-0196 Japan. E-mail: muto{at}lsse.kyutech.ac.jp

In this paper, a frequency transformation for designing polyphase transfer functions is proposed. A modification to the bilinear LP-LP transformation, which assigns both stopband edges on negative frequency range whereas passband edges are on positive one, results polyphase transfer functions. Design examples show validity of the proposed method.

Key Words: polyphase filter, complex filter, frequency transformation, Zolotarev approximation


Manuscript received June 11, 2007. Manuscript revised August 27, 2007.

Reference

[1] M.J. Gingell, The synthesis and application of polyphase filters with sequence asymmetric properties, Ph.D. Thesis, University of London, 1975.

[2] K. Wada and Y. Tadokoro, "Approximate design of RC polyphase filters with amplitude characteristics being flat in passbands and equiripple in stopbands," IEICE Trans. Fundamentals (Japanese Edition), vol.J88-A, no.12, pp.1478–1486, Dec. 2005.

[3] H. Tanabe and H. Tanimoto, "Design considerations for polyphase filters with simultaneously equal ripple both in stopband and passband," IEICE Trans. Fundamentals, vol.E89-A, no.2, pp.461–464, Feb. 2006.

[4] C. Muto, "A second-order active polyphase filter based on quadrature phase splitter," The Papers of Technical Meeting on Electronic Circuits, IEE Japan, ECT-04-14, Jan. 2004.

[5] C. Muto, "On a design of third order equi-ripple polyphase transfer function without calculating elliptic functions or integrals," The Papers of Technical Meeting on Electronic Circuits, IEE Japan, ECT-06-83, Oct. 2006.

[6] C. Muto, "A new extended frequency transformation for complex analog filter design," IEICE Trans. Fundamentals, vol.E83-A, no.6, pp.934–940, June 2000.

[7] C. Muto and N. Kambayashi, "A leapfrog synthesis of complex analog filters," IEICE Trans. Fundamentals, vol.E76-A, no.2, pp.210–216, Feb. 1993.

[8] H. Tanabe and H. Tanimoto, "Transfer function preserving transformations on equal-ripple RC polyphase filters for reducing design efforts," IEICE Trans. Fundamentals, vol.E90-A, no.2, pp.333–338, Feb. 2007.

[9] A.I. Zverev, Handbook of filter synthesis, John Wiley, New York, 1967.

[10] T. Kowase and Y. Shinada, "Circuit realization of bilinear complex coefficients transfer functions and its application," IEICE Trans. Fundamentals (Japanese Edition), vol.J77-A, no.8, pp.1186–1188, Aug. 1994.


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This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrow Request Permissions
Google Scholar
Right arrow Articles by MUTO, C.
Right arrow Search for Related Content
Social Bookmarking
 Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?