MGPA Linearity Non-linearity measurements in the lab hardware description method results

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1 MGPA Linearity Non-linearity measurements in the lab hardware description method results Mark Raymond (Dec.24) 1

2 Linearity test bench Digital Sequencer prog. delay ( 25 ns 1 ns steps) LabView automated AWG (AG3325) use prog. attenuator, rather than changing amp. of AWG O/P to avoid contribution from AWG O/P stage linearity 1ns programmable attenuator (HP8494+HP8495) 1 db steps prog. delay Cinj AWG 4 MHz clock and ADC MGPA prog. attenuator level shift 14-bit ADC (SIS331) 14-bit ADC -> negligible INL and DNL contribution to measurement for MGPA test board use either RAL PCB with socket easy chip exchange or VFE card verify performance in final configuration 14-bit VME ADC MGPA test board 2

3 MGPA test board photos RAL board with socket modified VFE card (latest version) charge injection APD in light tight enclosure diff. to s.e. conversion differential MGPA O/P signals accessed between MGPA and ADC 3

4 Linearity measurement procedure 1) remove MGPA test board and characterise system => make precision measurement of attenuator steps Digital Sequencer prog. delay ( 25 ns 1 ns steps) AWG (AG3325) 5ns CR-RC shape programmable attenuator (HP8494+HP8495) 1 db steps 4 MHz clock and ADC level shift 14-bit ADC (SIS331) 2) replace MGPA and measure pulse shapes for different signal sizes Digital Sequencer prog. delay ( 25 ns 1 ns steps) AWG (AG3325) 1ns programmable attenuator (HP8494+HP8495) 1 db steps Cinj 4 MHz clock and ADC MGPA level shift 4 MHz 14-bit ADC (SIS331) pulse shapes measured with 1ns resolution by sweeping time of charge injection using prog. delay 4

5 Typical non-linearity measurement (1) 5.8 pc high gain channel (VFE card) 18 pf Cin added fullscale signal = 5.8 pc signal sizes not linearly spaced because of logarithmic attenuator steps [Volts].5 ADC range subtract pedestals time [1 nsec. steps] time [1 nsec. steps] 5

6 Typical non-linearity measurement (2) pedestal subtracted pulse shapes take peak samples and fit peak sample value [volts] peak sample vs. attenuator value peak samples fit to peak samples time [1 nsec. steps] attenuator steps corresponds to 5.8 pc here 6

7 Typical non-linearity measurement (3) peak sample value [volts] peak samples fit to peak samples non-linearity non-linearity [% fullscale] finally calculate linearity Non-linearity [% fullscale] = peak pulse ht. fit (to pk pulse ht) x 1 fullscale signal (1.8 V) attenuator steps 7

8 Pulse shape matching [Volts] can also calculate pulse shape matching for same data PSMF = peak sample value / sample 25ns before Pulse Shape Matching = (PSMF Average PSMF) Average PSMF Average PSMF = average over all pulse shapes time [1 nsec. steps] 2 PSM [%] attenuator steps.8 8

9 Some non-linearity results (old) MGPA Version 1 MGPA Version 2 Nonlinearity [% fullscale] high gain range mid low 1 chips measured for each MGPA version v. similar results V1 cf. V2 nonlinearity within (or close to) ±.1% specification these measurements made on RAL card using simulated APD capacitance Nonlinearity [% fullscale] high mid 8 1 low charge injected [pc] charge injected [pc] 9

10 New results non-linearity [% fullscale] Hi gain channel non-linearity measured on VFE card pf APD 18 pf, 5 ns risetime Why is non-linearity worse in H4 beam? (noticeable fall-off for small signals on high gain channel) Could there be an APD effect? No no significant difference between 18 pf and APD biased at 35 V Could signal risetime be shorter than expected? No - changing charge injection 1ns -> 5ns doesn t make much difference (at least for high gain channel) attenuator steps 1

11 Final thoughts non-linearity measured using procedure described here does not explain test beam results results here within or very close to +/-.1% spec. method used here will not include any contribution from ADC, but don t expect to be significant could test beam linearity studies be more sensitive to pulse shape? 2 PSM within design spec. but does tend to show similar trend to test beam linearity plots PSM [%] attenuator steps.8 11

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