Voltage Regulator Considerations
Voltage regulators form the interface between the power source and the sensitive loads of a system, converting and conditioning electrical power to meet the requirements of modern integrated circuits. As digital systems have moved toward lower core voltages, higher currents, and tighter tolerance windows, regulator design has grown correspondingly demanding. A regulator must hold its output within specification despite variation in input voltage, load current, temperature, and component tolerance, while responding to the rapid load steps that characterize processors, FPGAs, and other high-speed digital devices.
From the standpoint of the power distribution network (PDN), the regulator is simply the lowest-frequency element in a chain of impedances. It dominates the PDN impedance from DC up to roughly its control-loop bandwidth; above that, bulk and ceramic capacitors, planes, package, and on-die capacitance take over. Designing a regulator well therefore means more than meeting a DC accuracy number. It means shaping output impedance across frequency, securing loop stability across every operating corner, placing the converter sensibly, and handing off cleanly to the decoupling network that follows it.
Regulator Architectures and Selection
Two broad architectures dominate. A linear regulator, most often a low-dropout (LDO) regulator, uses a pass transistor operating in its linear region as a controlled series resistance. A switching regulator, most often a synchronous buck converter for step-down applications, chops the input with transistors and filters the result with an inductor and capacitors. The two differ fundamentally in efficiency, noise, and output impedance behavior.
A linear regulator dissipates the full product of the input-to-output voltage difference and the load current, so its efficiency cannot exceed the ratio of output to input voltage. Converting 5 volts to 1.2 volts linearly wastes more power than it delivers. A synchronous buck converter, by contrast, transfers energy rather than burning the difference, and well-designed point-of-load converters routinely reach the low-to-mid ninety percent range at moderate step-down ratios. Efficiency falls at very large step-down ratios, at very light loads where fixed losses dominate, and at high switching frequencies where switching and gate-drive losses grow.
Where linear regulators remain valuable is noise. A switching converter injects ripple at its switching frequency and harmonics onto its own output and, through the input path, onto the upstream rail. Sensitive analog blocks, phase-locked loops, voltage-controlled oscillators, and data-converter references frequently cannot tolerate this. An LDO used as a post-regulator provides substantial power-supply rejection ratio (PSRR), commonly on the order of 60 to 80 decibels at low frequency, in exchange for a modest dropout voltage. Its rejection is not uniform across frequency, however: PSRR tracks loop gain and therefore rolls off as frequency rises, often degrading sharply above the tens-of-kilohertz to low-megahertz region, exactly where switching harmonics live. A post-regulator must be chosen with its PSRR-versus-frequency curve compared against the actual ripple spectrum it is expected to reject, and it is often paired with a small LC or ferrite filter that attenuates the high-frequency content the LDO cannot.
Many systems use both: a switching converter to do the bulk conversion efficiently, followed by LDOs on the handful of rails that demand quiet. The cost is the LDO's dropout headroom and the heat it produces, which is why the switching stage feeding it is often set only a few hundred millivolts above the LDO's target.
Load Transient Response
Load transient response describes how quickly and how accurately a regulator reacts to a sudden change in load current. Modern digital circuits transition between idle and active states in nanoseconds, producing current steps that reach tens or hundreds of amperes with slew rates measured in amperes per nanosecond. The regulator must absorb these steps while holding the output within a tolerance window that is often only a few percent of a nominal voltage below one volt.
The response is limited by two distinct mechanisms, and confusing them leads to poor designs. The first is control-loop bandwidth: the loop must detect the deviation and command a correction, which takes time proportional to the inverse of the crossover frequency. The second, specific to switching converters, is the output inductor. Even if the controller commands full duty cycle instantly, the inductor current can only rise at a rate set by the voltage across it, approximately the input-to-output voltage difference divided by the inductance. Until the inductor current catches up with the new load, the deficit must come from the output capacitors. This is why large inductance values, chosen for low ripple current, degrade transient response, and why multiphase designs with small per-phase inductors slew so much faster.
During the interval before the loop and inductor respond, the voltage excursion is set by the capacitor bank. Three effects contribute in sequence: equivalent series inductance (ESL) produces an immediate step proportional to the current slew rate, equivalent series resistance (ESR) produces a step proportional to the current change, and bulk capacitance produces a sagging ramp proportional to the charge removed. Different capacitor technologies address different parts of this curve, which is why practical banks mix them.
Multilayer ceramic capacitors (MLCCs) offer very low ESR and ESL and dominate the high-frequency portion of the bank, but Class II dielectrics such as X5R and X7R lose substantial capacitance under DC bias. A part operated near half its rated voltage may retain only roughly half of its nominal capacitance, and the loss is worse in smaller case sizes and for X5R relative to X7R at the same value and package. Class II parts also drift with temperature and lose capacitance slowly with age after the last thermal excursion. Designs that count nameplate microfarads rather than derated microfarads from the manufacturer's bias curves routinely come up short. MLCCs are also piezoelectric, and the resulting mechanical vibration can produce audible board noise on rails carrying low-frequency ripple. Polymer electrolytic and polymer-aluminum capacitors provide much higher capacitance density with stable, well-controlled ESR and no bias derating, making them the usual choice for the bulk tier, while tantalum polymer parts serve where volumetric efficiency matters most.
Loop bandwidth is bounded from above by the switching frequency. Sampling considerations and the need to attenuate switching ripple in the feedback path typically restrict the crossover frequency to somewhere between roughly one-tenth and one-fifth of the switching frequency. Raising bandwidth therefore usually means raising switching frequency, which costs efficiency. Advanced architectures reduce the penalty: current-mode control, constant-on-time and other ripple-based schemes, and nonlinear or predictive transient boosters that detect a large step and momentarily bypass the linear control law. Adaptive voltage positioning, described below, attacks the same problem from the tolerance-budget side.
Output Impedance
Output impedance characterizes how much the output voltage moves for a given change in load current, and it is the quantity that connects regulator design to PDN design. An ideal regulator would present zero output impedance at every frequency. A real one presents an impedance that varies substantially across frequency and results from the combined action of the control loop, the output filter, and the parasitics of both.
At low frequencies the feedback loop has high gain and actively corrects deviations, so closed-loop output impedance is the open-loop value divided by the loop gain, often falling into the low milliohms or below. As frequency rises, loop gain falls, and the correction weakens proportionally. Near the crossover frequency the loop gain reaches unity and the closed-loop output impedance approaches the impedance of the output capacitor bank itself. Above crossover the loop contributes nothing, and the closed-loop output impedance rises roughly in proportion to frequency, behaving like an effective series inductance. Recognizing this inductive behavior matters, because it can resonate with the bulk capacitance placed downstream and create an impedance peak precisely in the frequency range where the regulator is handing off to the decoupling network.
That handoff is the central design problem. Target impedance sets the budget: dividing the allowable voltage deviation by the largest expected load-current step gives the maximum impedance the PDN may present. A rail permitting 30 millivolts of deviation under a 30-ampere step, for example, demands roughly one milliohm. The target must be met not at one frequency but across the band from DC through the highest significant harmonic of the load-current profile, and the design goal is generally a flat impedance profile rather than a low average one, because a single anti-resonant peak can be excited by periodic load activity at exactly that frequency and produce far larger excursions than the broadband average would suggest. Anti-resonances arise wherever a capacitive element meets an inductive one, including the regulator's own effective output inductance meeting the bulk bank, and between capacitor tiers of differing self-resonant frequencies. Damping them, whether through deliberate ESR, controlled-ESR polymer parts, or a spread of capacitor values, is usually preferable to chasing ever-lower nominal impedance.
Because target impedance is derived from a worst-case step, applying it too literally can be conservative for realistic load profiles, and some designs supplement it with time-domain simulation against measured or modeled current waveforms. The reverse mistake is more common and more damaging: meeting the target at low frequency with a large bulk bank while leaving a peak near the crossover handoff.
Feedback Loop Stability
The regulator compares a scaled version of its output against a reference and adjusts current delivery to null the error. The path around that loop contains poles and zeros contributed by the compensation network, the output filter, the modulator, and parasitic elements. If gain and phase are not properly shaped, the result is oscillation, sustained ringing after transients, or a marginal response that degrades with temperature and age.
Stability is quantified by gain margin and phase margin. Phase margin is the difference between the loop phase and −180 degrees at the frequency where loop gain crosses unity (0 dB); gain margin is the attenuation below unity gain at the frequency where the phase reaches −180 degrees. Common industrial practice targets at least 45 to 60 degrees of phase margin and at least 10 decibels of gain margin, which leaves room for component tolerance, temperature drift, and aging without pushing the loop toward instability.
Output capacitor selection strongly influences the result. The output capacitance forms a pole with the filter inductance, and the capacitor ESR forms a zero. Where those singularities land relative to the controller's compensation determines the achievable margins. This is why data sheets often specify a permitted range of output capacitance and, for some older or ESR-dependent controllers, a minimum ESR. Substituting low-ESR ceramics into a design compensated for an ESR zero from an aluminum electrolytic is a classic route to an unstable supply. DC bias derating compounds the risk, since the effective capacitance at operating voltage may sit outside the range the controller was designed for even when the nameplate value is inside it.
Control architecture affects both the difficulty of compensation and its robustness. Voltage-mode control uses a single loop and typically requires type III compensation to handle the complex pole pair of the LC filter. Peak or valley current-mode control adds an inner current loop that reduces the output filter to a single dominant pole over much of the frequency range, simplifying compensation and improving line rejection, at the cost of requiring slope compensation above fifty percent duty cycle. Constant-on-time and hysteretic schemes trade a defined crossover for very fast intrinsic transient response and require attention to output ripple content for stable operation. Digital controllers can implement adaptive compensation that retunes coefficients as operating conditions change.
Measurement should confirm the analysis. The standard technique injects a small signal across a low-value resistor inserted in the feedback path and measures the resulting loop gain and phase with a frequency-response analyzer. When the loop cannot be broken, as in fully integrated modules, non-invasive methods that infer margin from the output impedance profile or from the ringing observed in a step response provide a usable estimate.
Stability Margin Across Operating Conditions
Meeting a margin specification at nominal conditions is not the same as meeting it in production. Phase margin varies with input voltage, load current, temperature, and every component tolerance that shifts a pole or zero, and output capacitors are the largest single contributor because their effective value moves with bias, temperature, and age.
The choice of margin is also a design trade-off rather than a pass-fail threshold. Higher phase margin yields a more damped response with less overshoot but a longer settling time; lower phase margin yields a faster initial response with more overshoot and ringing. For a response dominated by a second-order pole pair, a useful rule of thumb equates phase margin in degrees to roughly one hundred times the damping ratio, so a 45-degree margin corresponds to a lightly damped response with noticeable overshoot, while 60 to 70 degrees approaches a well-damped one. Rails feeding devices with tight upper voltage limits generally favor the damped end; rails where the deepest undershoot dominates the budget may accept less margin and manage the resulting overshoot through capacitor selection or droop.
Verification should therefore sweep the corners rather than the nominal point. Worst-case analysis with tolerances at their extremes establishes a bound; Monte Carlo analysis over the tolerance distributions indicates how much of the population actually approaches it. Bench validation across the input-voltage range, from minimum to maximum load, and at temperature extremes catches the cases the models miss, particularly nonlinear effects such as inductor saturation at high current and capacitor bias derating at maximum output voltage.
Remote Sensing
Current flowing from the regulator output to the load develops a voltage drop across the resistance of the copper, connectors, and vias in between. For a high-current rail below one volt, a few milliohms of path resistance at fifty amperes consumes a substantial fraction of the entire tolerance budget before any transient occurs. Remote sensing solves the DC portion of this problem by closing the feedback loop on the voltage measured at the load rather than at the regulator output, so the regulator raises its terminal voltage by exactly the drop it needs to overcome.
In a remote-sense configuration, a separate pair of sense conductors runs from the regulator's feedback network to a Kelvin connection at the load, typically at a dedicated sense point on the package or immediately adjacent to it. The sense lines carry only the small current drawn by the feedback divider, so their own drop is negligible. Sensing both the positive rail and the load-side return is important, because ground shift between regulator and load is often comparable to the drop on the supply side.
Several practical constraints follow. The sense lines must be routed as a tightly coupled differential pair, referenced to a quiet plane and kept away from switching nodes, because any noise coupled onto them is injected directly into the control loop. Series resistors near the regulator, together with a small differential capacitance, filter that noise, but they also add phase lag inside the loop and so must be sized against the crossover frequency rather than chosen arbitrarily. Many controllers also provide a fallback path, often a high-value resistor from the sense input to the local output, so that an open sense line degrades to local regulation instead of driving the output to its overvoltage limit. For loads with distributed current draw, no single sense point is optimal for the whole die, and the sense location becomes a compromise that is usually resolved by IR-drop simulation of the plane and package.
The important limitation is that remote sensing corrects only what the loop can track. It compensates DC and low-frequency drop; it does nothing for the inductive drop that dominates during a fast transient, which remains the job of decoupling capacitance near and inside the load. In multiphase and parallel-regulator configurations, a common sense point also gives every phase or module the same voltage reference, which supports accurate current sharing.
Droop Compensation and Adaptive Voltage Positioning
Droop compensation, also called adaptive voltage positioning (AVP) or load-line regulation, deliberately reduces the output voltage as load current rises, following a defined slope known as the load line. Rather than defending a single DC target, the regulator positions the output near the top of the tolerance window at light load and near the bottom at heavy load.
The benefit follows directly from that positioning. Under conventional constant-voltage regulation, a load step must fit its undershoot below the nominal level and the subsequent recovery overshoot above it, so both excursions are measured from the middle of the window. With a load line, the DC target itself moves down as current rises, so the undershoot of a load-increase step travels toward the new target rather than away from it, and the overshoot on load release likewise moves toward the light-load target. In effect the same tolerance window absorbs roughly twice the transient excursion, which allows a substantial reduction in output capacitance for a given specification. Running at a lower voltage under heavy load additionally reduces the load's own power dissipation, since dynamic power scales with the square of supply voltage.
Droop is normally implemented not with a physical series resistance, which would waste power, but by shifting the regulator's voltage target in proportion to sensed output current. The current is typically measured losslessly across the DC resistance of the output inductor using an RC network matched to the inductor's L/R time constant, or across a dedicated sense element where accuracy matters more than loss. Because the target moves with sensed current, the accuracy of the load line is only as good as the current sense, and temperature compensation of the inductor's copper resistance is usually required.
Choosing the slope is a budget exercise. The DC droop equals the load-line resistance multiplied by the load current, so the value must fall as peak currents rise: a slope acceptable at twenty amperes would consume the entire tolerance window at several hundred. Load-line values in processor power supplies accordingly span from a fraction of a milliohm on very-high-current server rails to a few milliohms on lower-current client and peripheral rails, and some rails specify no load line at all where the DC offset cannot be afforded. Too steep a slope wastes voltage margin and forces a higher light-load setpoint; too shallow a slope surrenders the transient benefit. The load line is normally specified by the load device itself, and the power supply is validated against that specification rather than choosing a value freely.
Droop is frequently combined with commanded voltage scaling. Voltage identification (VID) codes let the load request a specific setpoint, and dedicated interfaces move those requests quickly enough to be useful for power management: Intel's SVID and AMD's SVI serve their respective processors, while the PMBus family includes AVSBus, a dedicated high-speed link added in PMBus revision 1.3 for adaptive voltage scaling between a complex load and its regulator. Fast voltage transitions of this kind impose their own requirements, since slewing a large output capacitance quickly demands substantial charging current on the way up and a means of sinking energy on the way down.
Multiphase Operation and Current Sharing
Rails drawing more than a few tens of amperes are commonly served by multiple converter phases operating in parallel from a common controller, with their switching instants interleaved evenly across the switching period. Multiphase operation is not merely a way to divide heat among more transistors; it changes the converter's electrical behavior in ways that matter directly to the PDN.
Interleaving cancels ripple. Because the phases conduct at staggered times, their ripple currents partially cancel at the output, and the residual ripple appears at the phase count multiplied by the per-phase switching frequency. The effective output ripple frequency therefore rises while the amplitude falls, easing the output filter. The same cancellation applies at the input, substantially reducing input RMS capacitor current, which is often the limiting factor in input capacitor selection. Cancellation is exact only at specific duty cycles and is partial elsewhere, but the benefit is large across the useful range.
Splitting the current also improves transient slew rate. Each phase uses a smaller inductor than a single-phase design of the same total current would require, so the aggregate current can change far more quickly for a given input-to-output voltage difference. This is a principal reason processor supplies use many phases rather than fewer, larger ones.
Accurate current sharing among the phases is essential, because a phase carrying disproportionate current runs hotter, ages faster, and reaches its thermal or saturation limit before the others. Current-mode controllers share naturally through the inner loop; voltage-mode multiphase controllers require explicit sharing circuitry. Mismatch arises from inductor DC resistance tolerance, sense-network mismatch, and thermal gradients across the phase array, and the same sensed-current information used for sharing generally feeds the load line, so sense accuracy serves both functions.
At light load, running every phase wastes energy in switching and gate-drive losses that no longer scale with delivered power. Phase shedding disables phases as load falls, and diode-emulation or pulse-skipping modes stop synchronous rectification to avoid circulating current. Both improve light-load efficiency, and both change the output ripple spectrum, replacing a fixed high-frequency ripple with lower-frequency, load-dependent pulse bursts. On rails feeding sensitive analog or clocking circuits, that spectral change can be worse than the efficiency gain is valuable, and forced continuous-conduction operation is often selected instead.
VRM Placement and Power Delivery
The physical placement of a voltage regulator module (VRM) sets the resistance and inductance of the path between conversion and consumption, and those parasitics govern DC drop, transient behavior, and distribution loss. Placement is therefore an electrical decision constrained by thermal and mechanical realities rather than a purely mechanical one.
Placing regulators close to their loads shortens the path, lowering both resistance and loop inductance. The resistive benefit shows up as recovered voltage margin; the inductive benefit shows up as improved transient response, because the inductance between the capacitor bank and the load limits how fast charge can be delivered regardless of how good the converter is. On high-current rails the path parasitics can rival the converter's own contribution to the impedance budget.
Close placement brings competing pressures. A converter delivering hundreds of watts dissipates a significant fraction of that power near components that may be thermally sensitive. The switching node is the loudest electromagnetic source on most boards, and its radiated and conducted emissions couple readily into nearby analog circuits and high-speed traces. Board area near a large processor is contested by decoupling capacitors, breakout routing, and mechanical keep-outs for sockets, heatsinks, and mounting hardware. Resolving these pressures typically means placing the phases in an arc around the load, keeping the high-current input loop tight and local, and reserving the shortest paths for the phases feeding the most transient-sensitive rail.
Multi-tier architectures relieve the conflict by separating concerns. An upstream converter handles bulk conversion where thermal and mechanical constraints permit, and point-of-load converters handle the final step where electrical performance demands. At the extreme, high-current designs move the final stage onto the reverse side of the board directly beneath the load, or into the load's own package, so that current reaches the die through the shortest possible vertical path rather than travelling laterally across planes. Vertical delivery of this kind is increasingly common in high-power processor and accelerator designs precisely because lateral distribution resistance has become the dominant loss at very low voltages and very high currents.
Point-of-Load Regulation
Point-of-load (POL) regulation places the final conversion stage adjacent to the load rather than generating every rail centrally and distributing it. The motivation is arithmetic: conduction loss scales with the square of current, so distributing power at a higher voltage and converting down locally moves the high-current path from board-length traces to a few millimeters of copper.
POL designs are usually organized as an intermediate bus architecture (IBA). A first-stage bus converter, generally transformer-isolated, produces an intermediate voltage distributed across the board or backplane, and non-isolated POL converters produce the final rails. Because the POL stages regulate, the bus converter itself need not: many are fixed-ratio or quasi-regulated designs that simply divide the input by a fixed turns ratio, which allows very high efficiency and high power density. A common arrangement takes a nominal 48-volt input through a 4:1 converter to a nominal 12-volt intermediate bus, which then wanders over roughly a 9-to-14-volt range as the source varies across its own tolerance. The POL converters must accept that range, which is why their input specifications are wider than a regulated bus would require.
The intermediate voltage is a compromise. Higher voltage reduces distribution current and loss but forces a larger step-down ratio at the POL stage, where very short duty cycles hurt efficiency and limit achievable switching frequency. Server, telecommunications, and datacenter equipment have moved decisively toward distributing 48 volts, driven by the current demanded by high-power processors and AI accelerators, with the conversion to core voltages handled in one or two stages close to the load.
Efficiency deserves attention at every POL stage because the losses multiply through the chain. Synchronous rectification, which replaces the freewheeling diode with a controlled transistor, is essentially universal for low-voltage outputs, and wide-bandgap devices, particularly gallium nitride, allow higher switching frequencies at acceptable loss and so permit smaller magnetics. Integration of controller, power devices, and often the inductor into a single power module reduces both parasitic inductance and design effort at the cost of flexibility.
POL architecture also supports fine-grained power management. Individual rails can be enabled and disabled with load state, reducing standby consumption. POL converters that support dynamic voltage and frequency scaling (DVFS) adjust their output as the load's performance state changes. Digital POL converters with PMBus telemetry report output voltage, current, and temperature, giving system firmware the data needed for power capping, thermal management, and fault diagnosis.
Sequencing, Start-Up, and Protection
Multi-rail systems impose ordering requirements that the regulator design must satisfy. Many devices specify that core power must precede or follow I/O power, that the difference between rails must stay bounded during ramps, and that each rail must ramp monotonically without steps or plateaus. Violating these constraints risks latch-up, excessive current through internal ESD structures, or an indeterminate reset state. Sequencing is enforced with enable-pin chaining, power-good handshakes, dedicated sequencer devices, or PMBus-programmable delays, and the shutdown order matters as much as the start-up order.
Start-up itself is a transient the regulator must manage. Soft-start ramps the internal reference over a controlled interval so that inrush current charging the output capacitance stays within the converter's current limit, a constraint that tightens as bulk capacitance grows. Where a rail may already be partially energized by a parallel path or a leakage route, pre-bias start-up capability prevents the converter from sinking current and pulling the rail down before regulation begins.
Protection features must be present without being trigger-happy. Overcurrent protection, implemented as cycle-by-cycle limiting, hiccup mode, or latched shutdown, guards against sustained overload and output shorts, and its threshold must clear the legitimate peak transient current with margin. Overvoltage protection guards against a failed feedback path or a shorted high-side device, conditions that can otherwise apply the full input voltage to a sub-volt load. Undervoltage lockout prevents operation with insufficient gate drive, and thermal shutdown protects against sustained overtemperature. Each threshold is a compromise: set too close to normal operation, protection produces nuisance trips during legitimate load steps; set too far, it fails to protect. Validating thresholds against measured worst-case transients, rather than against nominal load values, is the practical resolution.
Practical Design Considerations
Layout is inseparable from converter performance. The highest priority is the input loop, the path through the high-side switch, the low-side switch, and the input capacitors, because that loop carries the fastest current transitions in the circuit and its inductance directly produces switch-node ringing, voltage overshoot on the devices, and radiated emissions. Input capacitors belong immediately at the switch pins with short, wide connections and multiple vias to an adjacent ground plane. The switch node itself should be large enough to conduct and dissipate but no larger, since its area sets the capacitive coupling to everything nearby. The feedback path should be routed away from the switch node and inductor, referenced to quiet ground, and connected at the intended sense point rather than wherever is convenient.
Thermal design frequently sets the real performance limit. Loss must leave the package through copper, and the copper area, layer count, via density under thermal pads, and available airflow together determine junction temperature. Because most loss mechanisms worsen with temperature, thermal and electrical design interact: a converter that runs hot has higher conduction loss, which makes it hotter. Thermal simulation early in the design, verified with thermal imaging on the first hardware, catches problems while the layout can still change.
Component selection must reflect real behavior rather than nameplate values. Inductors must hold their inductance at peak current, including transient peaks, since saturation collapses inductance and current rises uncontrolled; the relevant figures are the saturation current and the temperature rise current, not the nominal value alone. Capacitors must deliver the required capacitance after bias, temperature, and aging derating, and must carry their RMS ripple current without excessive self-heating. Power devices must tolerate the switch-node overshoot produced by the actual layout, not the idealized input voltage. Input voltage ranges must cover source tolerance, start-up transients, and, in automotive and industrial contexts, load-dump and cold-crank excursions.
Conclusion
Voltage regulator design binds together a set of considerations that cannot be optimized independently. Loop bandwidth trades against switching loss; output capacitance trades against transient performance and board area; droop trades DC margin for transient margin; placement trades electrical performance against thermal and mechanical constraints. The regulator's output impedance profile is the quantity that ties these choices to the rest of the power distribution network, and the handoff between regulator-dominated and capacitor-dominated impedance is where most PDN problems originate.
Sound practice therefore combines analysis, simulation, and measurement across the full operating envelope rather than at nominal conditions. As supply voltages continue to fall, currents continue to rise, and transient slew rates continue to steepen, the margin available to absorb design error narrows, and the discipline of verifying margins at the corners becomes correspondingly more valuable.