Brief Description of Vector Signal Analysis
R&S
®
FSV-K70
52
Operating Manual 1176.7578.02 ─ 09
Շ
: the timing offset
n(t): a disturbing additive noise process of unknown power
2.5.1.2
Estimation
The R&S
FSV-K70 option includes two synchronization stages. The first stage has
already been described in the context of the "Demodulation & Symbol Decisions" block
(see
Chapter 2.4.3, "Demodulation and Symbol Decisions"
The second stage is realized within the "Synchronization" block. Here, the measure-
ment signal is matched to the reference signal by minimizing the mean square of the
error vector magnitude. This is done by selecting the optimum parameter vector :
t
x
x
t
REF
t
MEAS
x
2
ˆ
~
,
min
arg
ˆ
The minimization takes place at the sample instants specified by the
E
T
n
t
with T
E
: the sampling period used for estimation
Details on the estimation model and also the parameter vector can be found in
ter 2.5, "Signal Model, Estimation and Modulation Errors"
Subsequently, the measurement signal is corrected with the determined parameter
vector. Note that with a subset of the parameters, you can enable or disable correction
(see
Estimation ranges
The "estimation ranges" are determined internally according to the signal description:
●
For continuous signals, the estimation range corresponds to the entire result range,
since it can then be assumed that the signal consists of valid modulated symbols at
all time instants.
●
For bursted signals, the estimation range corresponds to the overlapping area of
the detected burst and the "Result Range". Furthermore, the Run-In/Run-Out
ranges (see
"Continuous Signal / Burst Signal"
on page 147) are explicitly exclu-
ded from the estimation range.
In the special case that the signal is indicated as a "burst signal", but is so highly dis-
torted that the burst search cannot detect a burst, the estimation range corresponds to
the pattern and (if an offset of the pattern is indicated) the useful part of the burst from
its start to the pattern start.
Signal Model, Estimation and Modulation Errors
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