Page 20 - EngineerIT September 2021
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MEASUREMENT



        give a worse signal-to-noise ratio (SNR) to the detector.
        Luckily, APDs are a happy medium, offering enough optical
        gain for this space, but not too much ENF to negatively impact
        the SNR.
           When a photon strikes the APD, an electron hole pair is
        created at the junction. The APD’s high electric field acts like
        a slingshot and accelerates the electron to knock off more
        electrons. This increases the number of released electrons
        per received photon. This effect is called the avalanche effect
        and it adds a multiplication factor (M factor). This gain, which
        is bias dependent, can allow us to see weaker signals since
        the TIAs are generally the limiting factor for SNR due to its
        noise floor. The goal is to match the noise floor of the next
        stage in the signal chain, in this case, matching the TIA’s
        noise floor by providing enough gain in the APD to slightly
        dominate the signal chain noise and give the best SNR to the
        system. This noise matching concept is widely used in many   Figure 3: RB is needed to AC couple the TIA.
        signal chains where the sensor noise floor is not the limiting
        factor. In practice, this increase in receiver performance   This parallel path will negatively impact the gain of the APD
        translates to an extended detection range. Another important   since its signal will be shared. The magnitude of this APD
        advantage of APDs is a fast saturation recovery. Again, the   gain degradation is determined by the ratio between the TIA
        TIA is the limiting factor in this and LIDAR specific TIAs are   input impedance and the value chosen for R B. Additionally,
        designed to reduce the saturation times to avoid blinding the   C IN has an impact on the circuit  - when the input is subjected
        LIDAR system. The only downside of APDs is their relatively   to currents from the APD, a voltage is produced on the
        high bias point (hundreds of volts) and the temperature   capacitor. This effect is due to the integrating current nature
        coefficient associated with it.                        of capacitors, where the voltage is a function of current over
           LIDAR has unique requirements for TIAs. Low current noise   time and capacitance value. The goal is to make C IN small
        and high bandwidths are typical for all optics applications.   enough to minimise charging effects but large enough to
        However, low power is a necessity. A system’s power budget   allow it (to have low enough impedance) to pass signals at
        may come under strain very quickly, since current systems have   the frequency of interest. In other words, if C IN is too large,
        64 or more TIA APD channels. As such, lower power modes   then it takes longer to discharge, but if C IN is too small, you
        are necessary when the TIA is not in use. Also, these devices   will lose some of your signal as a voltage drop across it (or
        need to wake up quickly to optimise their power budget.   distortion of the pulses have a long relative timescale to the
        Another requirement for modern LIDAR TIAs is clamping   capacitance). Any of these effects will severely compromise
        circuits for saturation events and to balance and trade-off input   the signal chain.
        referred noise and bandwidths.
           One major difference between the normal optical signal   Sizing RB and CIN
        chain and LIDAR is the environment. In fibre applications, the   Let’s illustrate how sizing C IN too small hurts your full-scale
        system is enclosed and is very stable. However, in LIDAR   measurement: at 200 MHz, a 33 pF capacitor looks like 24 Ω,
        we have the sun to contend with, as well as other LIDAR   which creates a voltage divider with R IN (usually on the order
        systems. The sun could cause a DC input that saturates the   of a few hundreds of ohms for LIDAR TIAs), taking 10% off the
        receive chain linear range. This is one of the first challenges   signal’s actual value. A 10% hit to your signal can easily wipe
        engineers will have to overcome for designing these systems.   out the hard engineering work done to optimise other areas
        Unfortunately, the solution is not easy and will be addressed in   such as the optics design.
        this article.                                             The pitfall with this AC-coupling approach to cancel
                                                               DC becomes clear when sizing R B. R B should be large in
        Input AC-coupling considerations                       comparison to the TIA input impedance to prevent gain
        Let’s explore a simple approach to block the DC signal and one   degradation, but small enough not to compromise the
        that many engineers try to implement without much success:   saturation recovery. An impossible balance of choosing RC
        connecting an AC-coupling capacitor between the APD to the   time constants is compounded by the fact that the input signal
        TIA. By placing a capacitor, we can mitigate DC effects, but this   of the detector is unipolar. The square wave nature of the
        introduces a new set of challenges.                    input pulse is averaged on this RC and will remove the TIA’s
                                                               dynamic range. Additionally, the TIA can potentially charge C IN
        RC trade-offs                                          when channel switching or by using output multiplexing. For
        Firstly, adding an AC-coupling capacitor to the input of the   example, with the LTC6561, the input of the TIA of an active
        TIA input also requires connecting a DC path to the detector.   channel is nominally 1.5 V. When the channel is inactive, the
        By placing a resistor, R B, the APD’s bias point can be set,   voltage of the input drops to 0.9 V. When an AC-coupling
        allowing you to AC couple the TIA input with C IN, as shown in   capacitor is inserted in between the detector and the TIA’s
        Figure 3. One sacrifice you make with this bias path is that   input, the capacitor must recharge back to 1.5 V for the
        it creates a parallel path for the APD current to flow through.   channel to become active again.



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