User`s guide
Unwrap
5-481
0
5
10
15
20
25
30
0 2 4 6 8 10 12 14 16
−5
0
5
10
15
20
25
30
0 pi 2pi 3pi 4pi 5pi 6pi
0()sin
2π
5
------
4π
5
------
6π
5
------
…
28π
5
----------
sin,,sin,sin,sin[, ]
Unwrap Restricted Phases:
Input:
Output:
where
Update the value of k
after every large
jump in phase value, indicated by .
θ
n
θ
n
′
2πk+=
Calculate Phases of Signal Data:
Input:
Output:
where
and
θ
n
′
()sin θ
n
()sin=
πθ
n
′
π≤<–
θ
0
()sin θ
1
()sin …θ
N
()sin,,,[]
θ
0
′
θ
1
′
…θ
N
′
,,,[]
θ
0
′
θ
1
′
…θ
N
′
,,,[]
θ
0
θ
1
…θ
N
,,,[]
Signal data with instantaneous phase values that range over all numbers
Unwrapping Phase Data Ranging Between π and -π
0
2π
5
------
4π
5
------
4– π
5
----------
2π–
5
----------
0
2π
5
------
4π
5
------
4– π
5
----------
2π–
5
----------
0
2π
5
------
4π
5
------
4– π
5
----------
2π–
5
----------
,,,,,,,,,,,,,[, ]
0
2π
5
------
4π
5
------
6π
5
------
8π
5
------
2π
12π
5
----------
14π
5
----------
16π
5
----------
18π
5
----------
4π
22π
5
----------
24π
5
----------
26π
5
----------
28π
5
----------
,,,,,,,,,,,,,[, ]
Unwrapped phase data ranging over all numbers.
Add Add
6π
Add
4π
2π 5⁄
4π 5⁄
2– π 5⁄
4π 5⁄–
0
2π 5⁄
28π 5⁄
2π
4π
Phase data of the signal restricted to range between π and -π.
Restricted Phases (Radians)
Time
Unwrapped Phases (Radians)
Time
2π
0