JAJSI65C November 2015 – October 2024 THS4541-Q1
PRODUCTION DATA
The first step in the output noise analysis is to reduce the application circuit to the simplest form with equal feedback and gain setting elements to ground, as shown in Figure 7-10, with the FDA and resistor noise terms to be considered.
The noise powers are shown for each term. When the Rf and Rg terms are matched on each side, the total differential output noise is the RSS of these separate terms. Using NG ≡ 1 + Rf / Rg, the total output noise is given by Equation 6. Each resistor noise term is a 4kTR power.
The first term is simply the differential input spot noise times the noise gain. The second term is the input current noise terms times the feedback resistor (and because there are two terms, the power is two times one of the terms). The last term is the output noise resulting from both the Rf and Rg resistors, again times two, for the output noise power of each side added together. Using the exact values for a 50-Ω, matched, single-ended to differential gain, sweep with a fixed Rf = 402 Ω (see Table 8-1) and the intrinsic noise eni = 2.2 nV and In = 1.9 pA for the THS4541-Q1, gives an output spot noise from Equation 6. Then, dividing by the signal gain (Av) gives the input-referred, spot-noise voltage (ei) shown in Table 7-5.
Av(1) | Rt, EXACT (Ω) | Rg1, EXACT (Ω) | Rg2, EXACT (Ω) | NOISE GAIN | eno (nV/√Hz) | ei (nV/√Hz) |
---|---|---|---|---|---|---|
1 | 55.2 | 399 | 425 | 1.94 | 6.64 | 6.64 |
2 | 60.1 | 191 | 218 | 2.85 | 8.71 | 4.36 |
3 | 65.6 | 124 | 153 | 3.63 | 10.7 | 3.56 |
4 | 72 | 89.7 | 119 | 4.37 | 12.1 | 3.03 |
5 | 79.7 | 67.8 | 98.3 | 5.09 | 13.7 | 2.74 |
6 | 89.1 | 54.2 | 86.5 | 5.65 | 15.4 | 2.56 |
7 | 101 | 43.2 | 76.6 | 6.25 | 16.7 | 2.39 |
8 | 117 | 35.2 | 70.1 | 6.74 | 17.3 | 2.16 |
9 | 138 | 29.0 | 65.8 | 7.11 | 18.6 | 2.06 |
10 | 170 | 23.6 | 62.5 | 7.44 | 18.9 | 1.89 |
11 | 220 | 18.7 | 59.3 | 7.78 | 19.6 | 1.78 |
12 | 313 | 14.6 | 57.7 | 7.97 | 20.0 | 1.66 |
13 | 545 | 10.8 | 56.6 | 8.11 | 20.3 | 1.56 |
14 | 2209 | 7.26 | 56.1 | 8.16 | 21.1 | 1.50 |
Notice that the input-referred ei is less than 2.2 nV/√Hz for just the THS4541-Q1 above a gain of 7 V/V. This result is because NG is less than Av when the source impedance is included in the NG calculation.