HP (Hewlett-Packard) 181A Water Dispenser User Manual


 
Chapter 7 HP 53131A/132A Specifications
Measurement Specifications (Continued)
7-8 Assembly-Level Service Guide
7
Frequency Measurement Example:
Given an HP 53132A with a High Stability Oven that was calibrated 3 days ago, measure a 15 MHz square wave signal (which has negligible
trigger error) with a 1 second gate time. Compute the measurement error to within 2-sigma confidence.
Which is to say that the HP 53132A would display results in the range 15 MHz ±60.2 mHz. Note however that the dominant error is the Time
Base Error. If an even higher stability time base is available or if the instrument can be source locked to the 15 MHz signal, then this error term
can be substantially reduced. The measurement resolution under these conditions is ±75 µHz (1 sigma) which determines the number of digits
displayed.
Measurement Specifications (Continued)
Measurement Error Systematic Uncertainty 2 RMS Resolution
×±=
Time Base Error
±
t
acc
Gate Time
----------------------------
±


2
4t
res
2
2 Trigger Error
2
×()+×
Gate Time Number of Samples
×
-------------------------------------------------------------------------------------------
t
jitter
Gate Time
----------------------------
+



×±
=
Frequency
×
Number of Samples 200,000 since Frequency is greater than 200kHz and gate time equals 1 second
=
Time Base Error Temperature Stability 3 Days Daily Aging Rate
×+=
2.5 10
9
3510
10
×()×+×=
4.0 10
9
×=
Measurement Error 4.0 10
9
×±
110
11
×
s
1s
---------------------------
±


2
4 225 10
12
s
×()
2
20
×()+×
1s 200 000
,×
-------------------------------------------------------------------------------
310
12
s
×
1s
---------------------------
+



×±
15MHz
×=
4.0
±
10
9
×
22.0110
12
×
310
12
×+()×±()
15MHz
×=
4.0
±
10
9
×
110
11
×±()
15MHz
×=
60.2 mHz
±=