28000 System Filter Characteristics
You want your analog data to come clean before digital
conversion.
The 28000
System has a variety of high-performance filter characteristics
available for HP, LP or BP Precision filtering, as well as,
traditional filter types such as Butterworth and Bessel
characteristics and others.
Our new choice of LP4FP 4-pole or LP8FP 8-pole flat/pulse
low-pass filters provide the user with the versatility to address applications
in either the time or frequency domain and are available on many 28000 card
models. Frequencies can range as high as 204.6 kHz with fixed frequency choices
for economy.

BE? Bessel 4, 6, or 8-Pole
Low-Pass Filter
Show description
BU? Butterworth 4, 6, or 8-Pole Low-Pass Filter
Show description
EH4 4-Pole, 4-Zero
Equiripple
High-Pass Filter
Show description
EH8 8-Pole, 8-Zero
Equiripple
High-Pass Filter
Show description
EL4 4-Pole, 4-Zero Equiripple Low-Pass Filter
Show description
EL8 8-Pole, 8-Zero Equiripple Low-Pass Filter
Show description
LP1 6-Pole, 6-Zero Elliptic Low-Pass Filter
Show description
LP4F & LP4P 4-Pole, 4-Zero
Low-Pass Filters
Show description
LP8F & LP8P 8-Pole, 8-Zero
Low-Pass Filters
Show description
TD4 4-Pole, 4-Zero Time Delay Filter (Linear
Phase/Flat Time Delay)
Show description
TD6A 6-Pole, 4-Zero & TD6B 6-Pole, 6-Zero Time Delay Filter (Linear Phase/Flat Time Delay)
Show description
TD8A 8-Pole, 6-Zero & TD8B 8-Pole, 8-Zero Time Delay Filter
(Linear Phase/Flat Time Delay)
Show description
The
Bessel family of low-pass filters provides linear phase and thus delays all
frequency components in the pass-band of the filter equally in time.
The
Bessel characteristic has an amplitude response that decreases monotonically
with increasing frequency. As a consequence of the Bessel’s linear phase
property, the filter exhibits broadly rounded amplitude response
characteristics. As with any “all pole” filter, the Bessel reaches a
terminal attenuation slope of 6 n dB/octave where n is the number
of poles.
The
BE? family of low-pass filters have the advantage of extremely low phase
distortion attributable to their linear phase characteristics. In response to a
step input, the Bessel has little overshoot and settles very rapidly.
The
amplitude response of the Bessel family of low-pass filters are inferior to most
other common characteristics. The Bessel is a good choice for applications where
linear phase (i.e., constant time delay) and fine transient response are
critical while a rounded amplitude response can be tolerated.
Download specifications from the Reference
Library
Back to top
The
Butterworth family of low-pass filters is formulated by uniformly placing poles
on the unit circle about the origin in the left half of the complex plane.
The
Butterworth characteristic exhibits no ripple in the pass-band.
Its amplitude
response decreases monotonically with increasing frequency. In the vicinity of
the cutoff frequency the Butterworth delivers a rounded amplitude response. As
with any “all pole” filter, the Butterworth reaches a terminal attenuation
slope of 6 n dB/octave, where n is the number of poles.
The
Butterworth low-pass filter has moderate amounts of phase distortion due to its
non-linear phase behavior. Response to a step function results in large
overshoot and long settling times.
When
compared to an Elliptical filter of the same order, the Butterworth delivers
inferior amplitude response and comparable phase and step response. A tightly
controlled Butterworth filter will give excellent flatness in the lower portion
of the pass-band, often making it a satisfactory choice for amplitude critical
applications such as spectral analysis.
Download specifications from the Reference
Library
Back to top
The EH4 4-pole, 4-zero High-Pass filter has 0.1 dB p-p
pass-band ripple and 80 dB stop-band attenuation at 0.212 times the cutoff
frequency (Fc). The EH4 is a good choice for eliminating low frequency noise or
as a companion with a low-pass filter for moderate Q band-pass filtering.
The EH4 has characteristics comparable to a 6-pole Butterworth
yet only requires 4-poles and 4-zeros to implement. When compared to a 6-pole
Butterworth, the EH4 provides more useable bandwidth (–0.1 dB frequency is 1.209
versus 1.370 for a 6-pole Butterworth) and identical rolloff characteristics to
the –80 dB stop-band.
Cascade an EH4 with an EL4 to form a band-pass filter. If the
filters are set with the –0.1 dB frequencies overlapping, the resulting
band-pass filter will have 0.2 dB of insertion loss and will provide more than
80 dB of attenuation below 0.212 Fc and 4.72 Fc. Q’s of over 2.6 are attainable.
Download specifications from the Reference
Library
Back to top
The EH8 8-pole, 8-zero High-Pass filter has 0.1 dB p-p
pass-band ripple and 90 dB stop-band attenuation at 0.559 times the cutoff
frequency (Fc). The sharp transition of the EH8 makes it an ideal filter for
rejecting interfering signals that are close to the pass-band.
The EH8 uses a unique equiripple pass-band and stopband
response to achieve complex pole pairs with lower Q’s. The result is a very
selective filter with less sensitivity
to component tolerance and lower spectral noise, especially
near the cutoff frequency.
Cascade the EH8 with an EL8 and form a very sharp bandpass
filter. If they are set to the same cutoff frequency, the band-pass filter will
have 0.2 dB insertion loss and will provide more than 90 dB attenuation below
0.56Fc and 1.79Fc. Q’s of over 8 are attainable.
Download specifications from the Reference
Library
Back to top
The
EL4 4-pole, 4-zero low-pass filter has 0.1 dB p-p pass-band ripple and 80 dB
stop-band attenuation at 4.719 times the cutoff frequency (Fc). The EL4 is a good
choice for eliminating high frequency noise or for less stringent anti-aliasing
applications where a moderately high sampling ratio is available.
The
EL4 has characteristics comparable to a 6-pole Butterworth yet only requires 4
poles and 4 zeros to implement. When compared to a 6-pole Butterworth, the EL4
provides more useable bandwidth (–0.1 dB frequency is 0.83 Fc versus only 0.73
Fc for a 6-pole Butterworth) and identical rolloff characteristics to the –80
dB stop-band.
The
EL4 has moderate amounts of phase distortion due to its non-linear phase
characteristics. The EL4 overshoots 13.4% in response to a step function input
and requires 2.59/Fc seconds for the output to settle to 1%.
Cascade
an EH4 with an EL4 to form a band-pass filter. If the filters are set with the
–0.1 dB frequencies overlapping, the resulting band-pass filter will have 0.2
dB of insertion loss and will provide more than 80 dB of attenuation below
0.212Fc and 4.72Fc. Q’s of over 2.6 are attainable.
Download specifications from the Reference
Library
Back to top
The
EL8 8-pole, 8-zero low-pass filter has 0.1 dB p-p pass-band ripple and 90 dB
stop-band attenuation at 1.788 times the cutoff frequency. The sharp transition
of the EL8 makes it an ideal filter for rejecting interfering signals that are
close to the pass-band.
The
EL8 uses a unique equiripple pass-band and stop-band response to achieve a
transfer function with complex pole pairs having lower Q’s. The result is a
very selective filter with less sensitivity to component tolerance and lower
spectral noise, especially near the cutoff frequency.
For
anti-aliasing applications, the EL8’s fast transition provides more usable
bandwidth, more attenuation of aliases and operation at a lower sampling
frequency than can be attained with conventional filters.
Phase
and amplitude match for the EL8 are specified throughout its pass-band from DC to
the cutoff frequency. 90 dB attenuation of aliases and no more than 0.1 dB
attenuation of the signal is obtained at a sampling frequency of 2.79 times the
cutoff frequency.
Download specifications from the Reference
Library
Back to top
The LP1 6-pole, 6-zero Elliptic (Cauer) low-pass filter has
0.1 dB p-p pass-band ripple, 80.07 dB minimum stop-band attenuation, and 80
dB/octave attenuation slope.
Of all filters with the same pass-band ripple, stop-band
attenuation, and complexity (number of poles and zeros), the Cauer filter has
the fastest transition from pass-band to stop-band making it ideal for rejecting
interfering signals close to the pass-band.
For anti-alias applications, the LP1’s fast transition
provides more usable bandwidth, more attenuation of aliases, and a lower
sampling frequency than can be obtained with more conventional filters. With
sampling frequency set to three times the highest frequency of interest and the
cutoff frequency set to 1.081 times the highest frequency of interest, the LP1
will provide 80 dB attenuation of all aliases with no more than 0.1 dB
attenuation of the signal.
The LP1 can be cascaded with an HP1 to form a sharp
band-pass filter, or it can be used with an HP1 to form a band-reject filter by
driving their inputs in parallel and adding their outputs.
Download specifications from the Reference
Library
Back to top
The LP4F and LP4P 4-pole, 4-zero low-pass filters together
provide the user with the versatility to address applications in either the time
or frequency domain. The choice of LP4F or LP4P is programmable in most
Precision Filters products that offer this filter characteristic.
The LP4F is specified to have excellent pass-band flatness and
sharp roll-off characteristics. The pass-band characteristic is nearly identical
to a 4-pole Butterworth yet the LP4F has a much sharper roll-off. The LP4F is a
good choice for applications such as spectral analysis and for less stringent
anti-aliasing applications where a moderately high sampling ratio is available.
The LP4P has excellent transient response and phase linearity making it a good
filter for time domain applications including transient (shock) measurements and
time domain waveform analysis. The LP4P has frequency and time domain
characteristics superior to the 4-pole Bessel filter. Like the Bessel, the LP4P
has a broadly rounded amplitude response that is a consequence of the LP4P’s
linear phase property.
Cascade an HP4F with an LP4F to form a band-pass filter. If
the filters are set with the –0.1 dB frequencies overlapping, the resulting
band-pass filter will have 0.2 dB of insertion loss and will provide more than
80 dB of attenuation below 0.107 Fc and above 9.364 Fc.
Download specifications from the Reference
Library
Back to top
The LP8F and LP8P 8-pole, 8-zero low-Pass filters together
provide the user with the versatility to address applications in either the time
or frequency domain. The choice of LP8F or LP8P is programmable in most
Precision Filters products that offer this filter characteristic.
The LP8F is specified to have outstanding pass-band flatness
and very sharp roll-off characteristics. The pass-band characteristic is nearly
identical to an 8-pole Butterworth yet the LP8F has a much sharper roll-off. The
LP8F is a good choice as an anti-aliasing filter and for applications such as
spectral analysis. The LP8P has excellent transient response and phase linearity
making it an ideal filter for time domain applications including transient
(shock) measurements and time domain waveform analysis. The LP8P has frequency
domain characteristics superior to the 8-pole Bessel filter. Like the Bessel,
the LP8P has a broadly rounded amplitude response that is a consequence of the
LP8P’s linear phase property.
Cascade an HP8F with an LP8F to form a band-pass filter. If
the filters are set with the –0.1 dB frequencies overlapping, the resulting
band-pass filter will have 0.2 dB of insertion loss and will provide more than
80 dB of attenuation below 0.487 Fc and above 2.05 Fc.
Download specifications from the Reference
Library
Back to top
The
TD4 4-pole, 4-zero time-delay filter has a monotonic pass-band rolloff identical
to a 4-pole Bessel filter, a minimum stop-band attenuation of 80 dB and a cutoff
frequency amplitude of –3.01 dB.
An
ideal filter would have no attenuation in the pass-band, infinite attenuation in
the stop-band, and a linear phase response to preserve wave shape by delaying
signal components equally. Elliptic filters approximate the ideal amplitude
response, but have a non-linear phase response. Bessel and equiripple delay
filters approximate the ideal phase response, but their Gaussian amplitude
response attenuates signal components in the pass-band which alter their wave
shape.
The TD4 uses 4 poles and 4 zeros to approximate the ideal
filter. Four poles provide a maximally-flat approximation to a constant group
delay and four zeros to sharpen the transition from pass-band to stop-band. The
TD4 provides less phase shift and less group delay than 4-pole Bessel while
nearly halving the sample rate required for 80 dB attenuation of aliases. 80 dB
attenuation of aliases can be accomplished by sampling at 10.144 Fc for a TD4
compared to 16.127 Fc for a 4-pole Bessel. When applied to the front end of a
data acquisition system, the TD4 reduces data rates and data volume by 40%.
Download specifications from the Reference
Library
Back to top
The TD6B 6-pole, 6-zero time-delay filter has 0.2 dB p-p
pass-band ripple, a minimum stop-band attenuation of 70 dB, an attenuation slope
of 30 dB/octave and a cutoff frequency amplitude of –3.01 dB.
An ideal filter would have no attenuation in the pass-band,
infinite attenuation in the stop-band, and a linear phase response to preserve
wave shape by delaying signal components equally. Elliptic filters approximate
the ideal amplitude response, but have a non-linear phase response. Bessel and
equiripple delay filters approximate the ideal phase response, but their
Gaussian amplitude response attenuates signal components in the pass-band which
alter their wave shape.
The TD6B uses 6 poles and 6 zeros to approximate the ideal
filter. Six poles provide a maximally-flat approximation to a constant group
delay; a pair of zeros flatten the pass-band; and four stop-band zeros sharpen the
transition from pass-band to stop-band. Applications for the TD6B are those which
require good phase linearity, fast settling time, and can tolerate a 5%
overshoot to
step function and a moderately sharp transition from pass-band
to stop-band.
The TD6A 6-pole, 4-zero time delay filter uses the same 6
poles as the TD6B to obtain a maximally-flat approximation to constant group
delay and the 4 stop-band zeros to sharpen the transition from pass-band to
stop-band. Applications for the TD6A are those which require low overshoot, fast
settling time, and low distortion, but which can tolerate some attenuation in
the pass-band.
Download specifications from the Reference
Library
Back to top
The TD8B 8-pole, 8-zero time-delay filter has 0.1 dB p-p
pass-band ripple, a minimum stop-band attenuation of 80.28 dB, an attenuation
slope of 46.20 dB/octave and a cutoff frequency amplitude of –3.01 dB.
An ideal filter would have no attenuation in the pass-band,
infinite attenuation in the stop-band, and a linear phase response to preserve
wave shape by delaying signal components equally. Elliptic filters approximate
the ideal amplitude response, but have a non-linear phase response. Bessel and
equiripple delay filters approximate the ideal phase response, but their
Gaussian amplitude response attenuates signal components in the pass-band which
alter their wave shape.
The TD8B uses 8 poles and 8 zeros to approximate the ideal
filter. Eight poles provide a maximally-flat approximation to a constant group
delay, a pair of zeros flatten the pass-band, and six stop-band zeros sharpen the
transition from pass-band to stop-band. Applications for the TD8B are those which
require excellent phase linearity, fast settling time, and can tolerate a 6%
overshoot to step function and a moderately sharp transition from pass-band to
stop-band.
The TD8A 8-pole, 6-zero time delay filter uses the same 8
poles as the TD8B to obtain a maximally-flat approximation to constant group
delay and the 6 stop-band zeros to sharpen the transition from pass-band to
stop-band. Applications for the TD8A are those which require low overshoot, fast
settling time, and low distortion, but which can tolerate some attenuation in
the pass-band.
Back to top
Download specifications from the Reference
Library
Request
Product Information
|