MAX260/MAX261/MAX262
Microprocessor Programmable
Universal Active Filters
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can also perform this last step. The desired f0s and Qs
are stated, and the appropriate digital coefficients are
supplied.
Cascading Filters
In some designs, such as very narrow band filters, sev-
eral second-order sections with identical center fre-
quency can be cascaded. The total Q of the resultant
filter is:
Q is the Q of each individual filter section, and N is the
number of sections. In Table 6, the total Q and band-
width are listed for up to five identical second-order
sections. B is the bandwidth of each section.
In high-order bandpass filters, stages with different f0s
and Qs are also often cascaded. When this happens,
the overall filter gain at the bandpass center frequency
is not simply the product of the individual gains
because f0, the frequency where each sections gain is
specified, is different for each second-order section.
The gain of each section at the cascaded filter's center
frequency must be determined to obtain the total gain.
For all-pole filters the gain, H(f0), as each second-order
section's f0is divided by an adjustment factor, G, to
obtain that section's gain, H(f0BP), at the overall center
frequency:
H1(f0BP) = H(f01) / G1= Section 1’s Gain at f0BP
where F1= f01 / fOBP
G1, Q1, and f01 are the gain adjustment factor, Q, and
f0for the first of the cascaded second-order sections.
The gain of the other sections (2, 3, etc.) at f0BP is
determined the same way. The overall gain is:
H(f0Bp) = H1(f0BP) x H2(f0BP) x etc.
For cascaded filters with zeros (fZ) such as elliptics, the
gain adjustment factor for each stage is:
where F1Z = fz1 / f0BP, and F1is the same as above.
Application Hints
Power Supplies
The MAX260/MAX261/MAX262 can be operated with a
variety of power supply configurations, including +5V to
+12V single supply or ±2.5V to ±5V dual supplies.
When a single supply is used, V-is connected to sys-
tem ground and the filter's GND pin should be biased
at V+/2. The input signal is then either capacitively cou-
pled to the filter input or biased to V+/2. Figure 16
shows circuit connections for single-supply operation.
When power supplies other than ±5V are used, CMOS
input logic levels (HIGH = V+, LOW = GND or V-) are
required for WR, D0, D1, A0–A3, OLKA, and CLKB.
With ±5V supplies, either TTL or CMOS levels can be
used. Note, however, that power consumption at ±5V is
reduced if CLKAand CLKBare driven with ±5V, rather
than TTL or 0 to 5V levels. Operation with +5V or ±2.5V
power lowers power consumption, but also reduces
bandwidth by approximately 25% compared to +12V or
±5V supplies.
Best performance is achieved if V+and V-are bypassed
to ground with 4.7µF electrolytic (Tantalum is preferred.)
and 0.1µF ceramic capacitors. These should be located
as close to the supply pins as possible. The lead length
of the bypass capacitors should be shortest at the V+
and V-pins. When using a single supply, V+and GND
should be bypassed to V-as shown in Figure 16.
Output Swing and Clipping
MAX260/MAX261/MAX262 outputs are designed to
drive 10kΩloads. For the MAX261 and MAX262, all fil-
ter outputs swing to within 0.15V of each supply rail
with a 10kΩload. In the MAX260 only, an internal sam-
ple-hold circuit reduces voltage swing at the N/HP/AP
output compared to LP and BR. N/HP/AP, therefore,
swings to within 1V (10kΩload) of either rail on the
MAX260.
To ensure that the outputs are not driven beyond their
maximum range (output clipping), the peak amplitude
response, individual section gains (HOBP, HOLP,
HOHP), input signal level, and filter offset voltages must
be carefully considered. It is especially important to
check unused outputs for clipping (i.e., the lowpass
output in a bandpass hookup), because overload at
any filter stage severely distorts the overall response.
The maximum signal swing with ±4.75V supplies and a
1.0V filter offset is approximately ±3.5V.
For example, lets assume a fourth-order lowpass filter is
being implemented with a Q of 2 using mode 1. With a
single 5V supply (i.e., ±2.5V with respect to chip GND)
the maximum output signal is ±2V (w.r.t. GND). Since in