NDLI: A new filter synthesis technique-the hourglass

Content Provider	IEEE Xplore Digital Library
Author	Bennett, B.J.
Copyright Year	1974
Abstract	A synthesis procedure called the hourglass algorithm is discussed. This algorithm produced filters that have better passband and stopband characteristics than conventional maximally flat filters. It is argued that its use throughout filter design unifies, simplifies, and systematizes synthesis procedures. The improvement in the passband achieved by the hourglass over the maximally-flat filter is due to the distribution of reflection coefficient zeros throughout the passband. The improvement in the stopband occurs because the natural modes of the hourglass are nearer the passband and farther from the stopband than the corresponding maximally-flat natural modes. These conditions are the result of reciprocal location of the reflection coefficient zeros with respect to the transmission zeros. The technique yields filters comparable to the classical constant-k filters with m-derived end sections. As opposed to the classical filters, the specified magnitude at the band edge may be realized exactly. Simple transformation of the zeros of hourglass designs leads to standard Chebyshev, Chebyshev rational fraction, and elliptic (Cauer) designs. Several filter design examples are provided to illustrate the method.<>
Starting Page	1469
Ending Page	1477
Page Count	9
File Size	830233
File Format	PDF
ISSN	00984094
Volume Number	35
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1988-12-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Passband Filtering theory Chebyshev approximation Reflection Frequency Polynomials Band pass filters Poles and zeros Network synthesis Transfer functions
Content Type	Text
Resource Type	Article
Subject	Engineering

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