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818H8D80-5 Datasheet(PDF) 5 Page - Frequency Devices, Inc. |
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818H8D80-5 Datasheet(HTML) 5 Page - Frequency Devices, Inc. |
5 / 14 page 1 kHz to 1.28 MHz 818 Series Phase and Phases Match Considerations 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: sales@freqdev.com • Web Address: http://www.freqdev.com Phase Deviation from Theoretical: The phase response of the amplifiers and the capacitance of the frequency control switches of the 818 series contribute to the overall phase response and cause it to deviate from theoretical. For the higher frequency models ( -4 and -5 ), where the cutoff frequencies can be programmed up to 1.28MHz, the deviation from theoretical can be substantial. Figure 1 is a normalized plot of the phase deviation from theoretical for an 818L8E-5 for programmed cutoff frequencies from 5kHz ( fc min ) to 1.28MHz (fc max ). For fc of 5kHz, the deviation from the 323° theoretical phase shift is 2° but for fc of 1.28MHz the deviation is 78°. This set of curves can be used to estimate the deviation from theoretical phase for other models in the 818 series. Figure 1 represents a "maximum deviation from theoretical phase" situation. Other models (i.e. -1 to -4) will exhibit a similar set of phase deviation curves with the phase scale being reduced by the ratio of the f max of the model to the f max of the -5. For example, an L8E- 1, whose programming frequency range is from 1kHz to 256kHz (1/5 of the range of the -5 model) will have a similar set of phase deviation curves but the maximum phase deviation, at the highest frequency setting (fc max), will be approximately 1/5 that of the -5 model (78/5 = 15.6°). The other programmed settings of the -1 will also produce proportionally reduced phase deviations. Unit to Unit Phase Match2 The actual phase shift through a filter at a frequency " f " is determined by its programmed frequency " fc ", the theoretical phase response of the transfer function (B, L, E, or D80) and the phase deviation from theoretical which in turn depends upon component tolerances, the model # (i.e. -1 through -5) and frequency to which it is programmed. It is therefore not possible to have a meaningful unit to unit phase match that is specified by a single number. For a group of the same model type and number, programmed to the same frequency, the unit to unit phase match can be approximated as a percentage of the theoretical phase shift with a correction term added to accommodate amplifier induced phase deviations. EXAMPLE: Phase Match Calculation ∆Φ(f)max = 0.02° x Φτ(f) + 4.0° x f/fc x fmax/1.28MHz 4.0° - L8L 3.0° - L8B & L8D80 2.0° - L8L ∆Φ(f)typ =0.5 x ∆Φ(f)max where: ∆Φ(f) = phase match at frequency f Φτ (f) = theoretical phase shift at f f = frequency of interest f max = maximum fc of the model fc = frequency to which the filter is programmed Eg. - for an 818L8E-3, the phase deviation from theoretical at a frequency of 192kHz, when the cutoff frequency fc is programmed to 384kHz is: f/fc = 192kHz/384kHz = 0.5, fmax = 768kHz Φτ(f) = 133° (from data table at f/fc = 0.5) Phase Match: ∆Φ(f)max = 0.02° x Φτ(f) + 4.0° x f/fc x fmax/1.28MHz = 0.02 x (-133°) + 4.0° x 0.5 x 768kHz/1.28MHz = 2.66° + 1.20° = +3.86° ∆Φ(f)typ =0.5 x ∆Φ(f)max = 0.5° x 3.86° = 1.93° 818L8E Phase Deviation (in degrees “°”) from Theoretical vs. Normalized Input Frequency programmed setting of fc f/fc 5kHz 10kHz 20kHz 40kHz 80kHz 160kHz 320kHz 640kHz 1.28MHz 0.10 0.15 0.18 0.17 0.08 -0.12 -0.52 -1.18 -2.57 -5.32 0.20 0.30 0.32 0.30 0.17 -0.39 -1.03 -2.41 -5.17 -10.76 0.30 0.34 0.42 0.40 -0.18 -0.57 -1.59 -3.66 -7.89 -16.29 0.40 0.20 0.40 0.50 -0.20 -0.90 -2.30 -5.10 -10.80 -22.10 0.50 0.20 0.32 0.60 -0.40 -1.20 -3.00 -6.70 -14.00 -28.20 0.60 0.00 0.00 -0.10 -0.80 -1.90 -4.10 -8.70 -17.70 -35.10 0.70 -0.21 -0.30 -0.60 -1.30 -2.70 -5.40 -11.00 -21.80 -42.60 0.80 -0.50 -0.60 -1.30 -2.10 -3.80 -7.20 -13.90 -26.90 -51.30 0.85 -0.80 -1.00 -1.80 -2.80 -4.70 -8.40 -15.80 -30.10 -56.40 0.90 -1.20 -1.60 -2.50 -3.70 -5.80 -10.00 -18.40 -33.80 -62.30 0.95 -1.90 -2.40 -3.50 -4.80 -7.30 -12.00 -21.10 -38.30 -69.20 1.00 -2.50 -3.30 -4.60 -6.20 -8.90 -14.10 -24.30 -43.30 -77.50 5 |
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