OPERATIONAL CONSIDERATIONS
Anti Alias and Reconstruction Filters
The automatic sample control is transparent to the user and operates the internal input anti-alias (
AA
) and
output reconstruction (
RC
) filters. These filters, operating in cascade, determine the system bandwidth and
phase characteristics.
The system bandwidth (amplitude response) is always limited to one-quarter of the sampling frequency in use.
CHART 1
(above) shows the sample rate and system bandwidth for the available filter configurations. For low-
pass (LP) and band-pass (BP) filters this is of little consequence because the cutoff frequency is internally
programmed to be within the system bandwidth. However, the high frequency amplitude response of high-pass
and band-reject filters is limited to the system bandwidth.
The phase response of the AA and RC filters is always added to the filter function that is selected via the front
panel. This effect is more pronounced on analog filter transfer functions than on the digital (FIR) filter transfer
functions and when the filter selected is programmed to a frequency close to the sample rate. The delay, in
digital (FIR) transfer functions, which appears as linear phase shift, is generally large enough that the phase
contributed by the AA and RC filters is not significant.
Figure 1
illustrates the effects of this additional phase
on typical Butterworth low-pass filters with corner frequencies of 10% and 80% of system bandwidth.
FIGURE 1
25 Locust St, Haverhill, Massachusetts 01830 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839
e-mail: [email protected] • Web Address: http://www.freqdev.com
ASC-50
Operation
Manual
8
0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0
Normalized Frequency (system bandwidth)
-1600
-1400
-1200
-1000
-800
-600
-400
-200
0
Phase (deg)
6 Pole Butterworth Lowpass Phase response
fc = 10% of system bandwidth
w/o aaf & reconstruction filter
w/ aaf & reconstruction filter
0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0
Normalized Frequency (system bandwidth)
-1600
-1400
-1200
-1000
-800
-600
-400
-200
0
Phase (deg)
6 Pole Butterworth Lowpass Phase response
fc = 80% of system bandwidth
w/o aaf & reconstruction filter
w/ aaf & reconstruction filter
0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0
Normalized Frequency (system bandwidth)
-200
-180
-160
-140
-120
-100
-80
-60
-40
-20
0
Amplitude (dB)
Anti-Alias & Reconstruction Filter
Frequency Response
0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0
Normalized Frequency (system bandwidth)
-1400
-1200
-1000
-800
-600
-400
-200
0
Phase (deg)
Anti-Alias & Reconstruction Filter
Phase Response