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ADL5310ACP-REEL7 Datasheet(PDF) 11 Page - Analog Devices |
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ADL5310ACP-REEL7 Datasheet(HTML) 11 Page - Analog Devices |
11 / 20 page ADL5310 Rev. A | Page 11 of 20 GENERAL STRUCTURE The ADL5310 addresses a wide variety of interfacing conditions to meet the needs of fiber optic supervisory systems and is useful in many nonoptical applications. These notes explain the structure of this unique style of translinear log amp. Figure 33 shows the key elements of one of the two identical on-board log amps. Q2 Q1 451 Ω 14.2k Ω 80k Ω 20k Ω 6.69k Ω PHOTODIODE INPUT CURRENT BIAS GENERATOR TEMPERATURE COMPENSATION (SUBTRACT AND DIVIDE BY T°K) VRDZ COMM COMM VLOG VNEG (NORMALLY GROUNDED) VSUM INP1 (INP2) VREF IREF IREF VBE1 VBE2 IPD VBE1 VBE2 44 µA/dec 2.5V 0.5V 0.5V 0.5V Figure 33. Simplified Schematic of Single Log Amp The photodiode current IPD is received at either Pin INP1 or Pin INP2. The voltages at these nodes are approximately equal to the voltage on the adjacent guard pins, VSUM, as well as reference inputs IRF1 and IRF2, due to the low offset voltage of the JFET operational amplifiers. Transistor Q1 converts IPD to a corresponding logarithmic voltage, as shown in Equation 1. A finite positive value of VSUM is needed to bias the collector of Q1 for the usual case of a single-supply voltage. This is inter- nally set to 0.5 V, one-fifth of the 2.5 V reference voltage that appears on Pin VREF. Both VREF pins are internally shorted, as are both VSUM pins. The resistance at the VSUM pin is nominally 16 kΩ; this voltage is not intended as a general bias source. The ADL5310 also supports the use of an optional negative supply voltage, VN, at Pin VNEG. When VN is 0.5 V or more negative, VSUM may be connected to ground; thus, INP1, INP2, IRF1, and IRF2 assume this potential. This allows operation as a voltage-input logarithmic converter by the inclusion of a series resistor at either or both inputs. Note that the resistor setting IREF for each channel needs to be adjusted to maintain the intercept value. Also note that the collector-emitter voltages of Q1 and Q2 are the full VN and effects due to self-heating cause errors at large input currents. The input-dependent VBE1 of Q1 is compared with the reference VBE2 of a second transistor, Q2, operating at IREF. IREF is gener- ated externally to a recommended value of 3 µA. However, other values over a several-decade range can be used with a slight degradation in law conformance. THEORY The base-emitter voltage of a bipolar junction transistor (BJT) can be expressed by Equation 1, which immediately shows its basic logarithmic nature: VBE = kT/q ln(IC/IS) (1) where: IC is the collector current. IS is a scaling current, typically only 10–17 A. kT/q is the thermal voltage, proportional to absolute temperature (PTAT), and is 25.85 mV at 300 K. IS is never precisely defined and exhibits an even stronger tem- perature dependence, varying by a factor of roughly a billion between −35°C and +85°C. Thus, to make use of the BJT as an accurate logarithmic element, both of these temperature dependencies must be eliminated. The difference between the base-emitter voltages of a matched pair of BJTs, one operating at the photodiode current IPD and the other operating at a reference current IREF, can be written as VBE1 – VBE2 = kT/q ln(IPD/IS) – kT/q ln(IREF/IS) = ln(10) kT/q log10(IPD/IREF) (2) = 59.5 mV log10(IPD/IREF) (T = 300 K) The uncertain, temperature-dependent saturation current, IS, that appears in Equation 1 has therefore been eliminated. To eliminate the temperature variation of kT/q, this difference voltage is processed by what is essentially an analog divider. Effectively, it puts a variable under Equation 2. The output of this process, which also involves a conversion from voltage mode to current mode, is an intermediate, temperature- corrected current: ILOG = IY log10(IPD/IREF) (3) where IY is an accurate, temperature-stable scaling current that determines the slope of the function (change in current per decade). For the ADL5310, IY is 44 µA, resulting in a temperature-independent slope of 44 µA/decade for all values of IPD and IREF. This current is subsequently converted back to a voltage-mode output, VLOG, scaled 200 mV/decade. It is apparent that this output should be 0 for IPD = IREF and would need to swing negative for smaller values of input current. To avoid this, IREF would need to be as small as the smallest value of IPD. Accordingly, an offset voltage is added to VLOG to shift it upward by 0.8 V when VRDZ is directly connected to VREF. This moves the intercept to the left by four decades (at 200 mV/decade), from 3 μA to 300 pA: ILOG = IY log10(IPD/IINTC) (4) where IINTC is the operational value of the intercept current. Because values of IPD < IINTC result in a negative VLOG, a negative supply of sufficient value is required to accommodate this situation. |
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