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DESIGN AND ANALYSIS OF ANALOG FILTERS A Signal ...

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A <strong>Signal</strong> Processing Perspective 15<br />

1.4 HISTORICAL PERSPECTIVE<br />

Analog electric filters have been in use since the very early days of electrical<br />

engineering. Simple resonant filters, although perhaps not explicitly called such at the<br />

time, were used in radio communications before the introduction of the first active<br />

devices. For example, an early interference suppression circuit introduced by<br />

Marconi, called the X Stopper, was actually a bandpass filter (Blake, 1974).<br />

However, it appears that the first systematic design approaches date from the<br />

first couple decades of this century when K.W. Wagner in Germany, and George<br />

Ashley Campbell (Campbell, 1911; Campbell, 1922) in the United States, independently<br />

developed such approaches to filter design (Darlington, 1984; Stephenson,<br />

1985; Van Valkenburg, 1982). 9 Other methods (such as insertion-loss synthesis)<br />

were introduced by Darlington in the United States and Cauer in Germany in the<br />

1930s (Cauer, 1939; Darlington, 1939) with contributions also by Brune (Brune,<br />

1931; Brune, 1932). Also during the 1930s and 1940s, the beginnings of active filter<br />

design occurred, as introduced by Black, Bode (Bode, 1945), and others.<br />

During this same time period analog filter design procedures were formalized,<br />

such as what is now known as the Butterworth filter (Butterworth, 1930), and elliptic<br />

filters (Cauer, 1931; Norton, 1937; Weinberg, 1962). Bessel filters, based upon<br />

Bessel (lived 1784-1846) polynomials (Krall and Frink, 1949; Grosswald, 1951;<br />

Burchnall, 1951), were introduced by Thomson and Storch (Thomson, 1949;<br />

Thomson, 1959; Storch, 1954). Chebyshev filters, and inverse Chebyshev (also<br />

called Chebyshev type II) filters, based upon Chebyshev polynomials (Chebyshev,<br />

1899), were developed during the 1950s (Cauer, 1958; Henderson and Kautz, 1958;<br />

Stephenson, 1985; Storer, 1957; Weinberg, 1962). 10<br />

In more recent years there has been development in analog filter design<br />

primarily along three lines: (1) introducing additional filter transfer function types<br />

exhibiting refinements, in some sense, compared with classical filters, (2) introducing<br />

computer-aided procedures for simulation, optimization, etc., and (3) circuit<br />

implementation. Since (1) is of primary concern with the emphasis of this book, with<br />

a signal processing perspective, only it will be expanded on in this historical review.<br />

Although it would not be useful to attempt an exhaustive list of filter transfer function<br />

types, a few of the more significant ones (in the author's opinion) will serve to<br />

indicate this further development. The author apologizes in advance for any<br />

significant filter transfer function types inadvertently left out. The order of mention<br />

is mostly chronological within two groupings: (1) general, where the primary concern<br />

9<br />

A brief biographical sketch of Campbell, with some discussion of his early contributions to filter design,<br />

is given by Brittain (1992).<br />

10<br />

A brief biographical sketch of Cauer, with a tribute to his contributions, has been given by Fettweis<br />

(1995).<br />

Section 1.4 Historical Perspective

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