Zibb

Design Idea

Lowpass filter discriminates step input from noise

Edited by Bill Travis

Eric Desrochers, Aircuity Inc, Newton, MA -- EDN, 9/18/2003

Numerous applications exist in industry, particularly with control systems, in which it is desirable to remove all but the lowest frequency components from a signal to effectively yield a dc voltage. This voltage may, for example, serve as a setpoint to a PID controller in a process-control or an HVAC application, in which the cable that is carrying the analog signal is exposed to a wide spectrum of noise, including low-frequency noise components from various sources. These sources could include variable-speed drives, ballasts, transients from switching gear, and motors. In many cases, noise reduction using a conventional lowpass filter can create adverse effects in the response time of the system, even if you use a multipole filter. As an alternative, the circuit of Figure 1 is ideally suited to provide extensive noise reduction for applications such as these without impairing a system's ability to track rapid changes in signal level. The concept involves a lowpass filter with a slewing mechanism that has significant performance advantages over other nonlinear-lowpass-circuit topologies, given its ability to discriminate step changes in signals from noise.

The basic operation of the circuit is to momentarily increase the corner frequency of the lowpass filter formed by R6 and C3, using an analog switch, IC1, upon detection of a step change in signal, allowing VOUT to track VIN with little delay. IC1 has an on-resistance of about 100Ω, so when it closes across R6, the corner frequency of the circuit changes from 0.016 Hz to approximately 160 Hz, which is ample bandwidth for the target applications for this circuit. IC2B, along with R4, R5, and C2, operates as an error amplifier with a corner frequency of fCERR=1/2πR5C2=1.59 Hz. The amplifier generates an error signal, VERR, that IC2A measures in reference to VOUT. IC2A acts as a floating window comparator that places the lowpass filter into slew mode when VERR exceeds the predetermined threshold that zener diode D3 establishes. For values of VERR that are greater than VOUT, diode D2 conducts, causing the noninverting input of IC2A to track this signal. IC2A compares the signal to a threshold voltage of approximately VOUT+5.2V at its inverting input. When a negative-step change (VIN<VOUT) to the input, VIN, is of sufficient amplitude such that VERR becomes approximately 5.7V (accounting for the barrier potential of D2), IC2A's output switches high. This action activates IC1, causing a short circuit across R6, thus allowing VOUT to track VIN.

For values of VERR below VOUT, the action is similar, except that the inverting input of IC2A tracks VERR through D3 and D4, and the comparator's output toggles high at the point at which VERR is approximately 5.2V below VOUT. Although the asymmetry in the window comparator's performance is not of great significance, you could realize improved symmetry by replacing D2 with a Schottky diode, which has a lower barrier potential. The comparator's trip points, along with the dc gain of the error-amplifier stage (IC2B)—determined by the ratio R5/R4—establish the upper and lower deadband of Figure 1. With the values shown in Figure 1 the circuit triggers to slew in response to negative-step changes in VIN as small as 0.260V and positive-step changes that are as small as 0.285V. You can realize better sensitivity by reducing the zener voltage of D3 or by increasing the ratio R5/R4 and ensuring that the error-amplifier stage provides adequate roll-off. The roll-off must ensure that noise levels that may exist in a given application cannot trigger the circuit into slew mode.

Another important parameter to consider when choosing component values for the error- amplifier stage is the step response of that circuit, because it directly impacts the overall settling time of the lowpass filter when it encounters step changes in signal. To be conservative, choose values for R5 and C2 such that three times the RC time constant they form is well within the settling time desired for the lowpass filter. For example, with R5=10 MΩ and C2=0.01 µF, 3τ=0.3 sec. This case represents the approximate worst-case delay to the response to a step change in VIN that is outside the deadband of the circuit. In practice, however, the delay is much smaller for step changes in VIN that are larger in magnitude, given the first-order nature of this circuit. Figure 2 illustrates the response of the lowpass-filter design to a 600-mV step change in VIN. The graphic also illustrates the circuit's significant filtering capabilities on a severe, 30-Hz, 640-mV p-p noise component superimposed on the signal. An ac-coupled view of the filter's performance at steady state illustrates more than 65 dB of attenuation at 30 Hz (Figure 3).



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