UAF42
4
APPLICATIONS INFORMATION
The UAF42 is a monolithic implementation of the proven
state-variable analog filter topology. Pin-compatible with
the popular UAF41 Analog Filter, it provides several
improvements.
Slew Rate of the UAF42 has been increased to 10V/µs
versus 1.6V/µs for the UAF41. Frequency • Q product of
the UAF42 has been improved, and the useful natural
frequency extended by a factor of four to 100kHz. FETinput op amps on the UAF42 provide very low input bias
current. The monolithic construction of the UAF42 provides
lower cost and improved reliability.
DESIGN PROGRAM
Application Bulletin AB-035 and a computer-aided design
program, available from Burr-Brown, make it easy to design
and implement many kinds of active filters. The DOScompatible program guides you through the design process
and automatically calculates component values.
Low-pass, high-pass, band-pass and band-reject (notch)
filters can be designed. The program supports the three most
commonly used all-pole filter types: Butterworth, Chebyshev
and Bessel. The less-familiar Inverse Chebyshev is also
supported, providing a smooth passband response with ripple
in the stop-band.
With each data entry, the program automatically calculates
and displays filter performance. This allows a spreadsheetlike “what if” design approach. For example, you can quickly
determine, by trial and error, how many poles are required
for a desired attenuation in the stopband. Gain/phase plots
may be viewed for any response type.
s
2
+ s ωn/Q + ω
n
2
ALPω
n
2
VO(s)
=
VI(s)
s
2
+ s ωn/Q + ω
n
2
AHPs
2
VHP(s)
=
VI(s)
s
2
+ s ωn/Q + ω
n
2
ABP(ωn/Q) s
V
BP
(s)
=
VI(s)
s
2
+ s ωn/Q + ω
n
2
ABR(s2 +ω
n
2
)
V
BR
(s)
=
VI(s)
(1)
(2)
(3)
(4)
The basic building element of the most commonly used filter
types is the second-order section. This section provides a
complex-conjugate pair of poles. The natural frequency, ω
n
,
and Q of the pole pair determines the characteristic response
of the section. The low-pass transfer function is
The high-pass transfer function is
The band-pass transfer function is
A band-reject response is obtained by summing the low-pass
and high-pass outputs, yielding the transfer function
The most commonly used filter types are formed with one or
more cascaded second-order sections. Each section is designed for ω
n
and Q according to the filter type (Butterworth,
Bessel, Chebyshev, etc.) and cutoff frequency. While tabulated data can be found in virtually any filter design text, the
design program eliminates this tedious procedure.
Second-order sections may be non-inverting (Figure 1) or
inverting (Figure 2). Design equations for these two basic
configurations are shown for reference. The design program
solves these equations, providing complete results, including component values.