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| (R) Filter Response: OPT49LP Figure 1: step response vs. time 120% 100% 80% 60% 40% 20% 0% time, 2/Fc per division from 0 to 16/Fc Figure 2: passband phase response 0 o filter order and type: basic stopband: document number: this issue dated: n=8 lowpass -77dB at 1.5 times Fc KT70180 23 October 1997 Description The Option 49LP response is a modified elliptic filter; it has a flat passband with ripple of less than 0.1dB up to the cutoff frequency, and a stopband of -77dB starting at 1.5 times cutoff (figures 3 and 4). The phase response of such filters is quite non-linear (shown in figures 2,6,7 and 9). See figures 1 and 5, and the table overleaf, for details of overshoot and settling behaviour. Applications This response shape has found wide acceptance as an alias protection filter for applications where analysis is carried out in the frequency domain (e.g. FFT analysis), and wide sampled bandwidth is more important than the time history of the waveform. Minimum suggested sample rate is 2.5 times the filter cutoff frequency. Availability Option 49LP was designed for, and is primarily used on the VBF10M laboratory filter instrument and the VBF35 multichannel system, though it can be supplied on some other Kemo products. For a similar, industry-standard response on most multi-channel Kemo products, see Option 01LP (document number KT70086). -90o -180o -270o -360o -450o -540o frequency, 0.1Fc per division from 0 to 1.1Fc Figure 3: passband amplitude response .5dB Figure 4: overall frequency response 0dB 0dB -.5dB -1dB -20dB -40dB -60dB -2dB -80dB -100dB -3dB frequency, 0.1Fc per division from 0 to 1.1Fc UK: tel fax Kemo ltd, 3 Brook Court, Blakeney Road Beckenham, Kent, BR3 1HG (+44) 181 658 3838 (+44) 181 658 4084 US: tel fax -120dB frequency, logarithmic scale from 0.1Fc to 10Fc Kemo, Inc, 190 Raven Road Landrum, SC 29356 864 895 8100 864 895 8900 Filter Response Figure 5: accuracy vs. time 0dB 16bit 15bit 14bit -30dB 13bit 12bit 11bit 10bit -40dB -50dB -60dB -70dB time, 2/Fc per division from 0 to 16/Fc 100o 80o 60o 40o 20o 0o -20o -40o -60o -80o -100o frequency, 0.1Fc per division from 0 to 1.1Fc Figure 7: passband group delay 4/Fc Response information for: OPT49 stopband response -77.23dB at 1.525Fc equivalent attenuation slope 126.84 dB per octave zero frequency delay 0.7831/Fc z.f. phase line (used in Figure 6) -281.92deg x f/Fc mean phase line (used in Figure 9) -326.32deg x f/Fc best phase line (used in Figure 8) -335.64deg x f/Fc attenuation: 0.1dB 0.989Fc 0.25dB 0.996Fc 0.5dB 1.005Fc 1dB 1.016Fc 3dB 1.042Fc 6dB 1.068Fc 12dB 1.11Fc 18dB 1.151Fc 24dB 1.194Fc 36dB 1.282Fc 48dB 1.366Fc 60dB 1.438Fc 72dB 1.487Fc 84dB [2.367Fc] 96dB [2.544Fc] overshoot 19.81% at 1.4/Fc risetime to 0.996Vin 1.142/Fc approximate settling time to 9 bits 9.9/Fc add on for each subsequent bit: 1.427/Fc (page 2) Figure 8: vector error -10dB -20dB frequency, 0.1Fc per division from 0 to 1.1Fc Figure 9: passband phase linearity 10o 8o 6o 4o 2o 0o -2o -4o -6o -8o -10o frequency, 0.1Fc per division from 0 to 1.1Fc Figure 6: passband phase deviation 3/Fc 2/Fc 1/Fc 0 frequency, 0.1Fc per division from 0 to 1.1Fc |
Price & Availability of OPT49LP
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