peak bin is then used to determine a second order correction (Fig. \[fig:corfun\]) that compensates for the asymmetry of the pulse shape, yielding the phase of the signal within the peak time sample. An additional additive correction determined in test bench measurements [@cite:timeslew], $$\Delta_\mathrm{slew} = (3.59\;\mathrm{ns}) \log_{10} \left[ \frac{1\TeV}{E (\TeV)} \right]\quad,$$ compensates for an electronics effect that delays the measured time for signals with pulse energy $E$ less than 1. The maximum value of $\Delta_\mathrm{slew}$ is taken to be 10 ns.

This algorithm yields accurate time measurements except when consecutive bunch crossings yield energy measurements of similar amplitude within the same HCAL cell. Such events can be identified by their anomalous pulse shape, and the time measurement can be marked as having poor resolution.

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Detector Timing/Synchronization Commissioning {#sec:tbandsplash}
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This section describes the performance characterization and commissioning results for HCAL timing and synchronization. Beam tests at the CERN SPS H2 area (hereafter referred to as “test beam”) produced key results [@cite:epjcHBTB] that define the timing performance of the HCAL barrel and endcap; these results are presented first. The results from the LHC 2008 beam commissioning data for the barrel, endcap and outer calorimeters are then described; 