System Manual

Enhanced Scrambling
Automatically generates hopping sequences using an enhanced algorithm. It
is recommended that Enhanced Scrambling rather then Standard
Scrambling be used. If the Enhanced Scrambling Mode is selected, the
Spanning Factor parameter (see below) must be configured in the AU. The
Enhanced Mode is not suitable for sequences with 6 or less frequencies. If
Enhanced Scrambling is selected with sequences that have 6 or less
frequencies, than Standard Scrambling is used by default.
The scrambled sequence is generated according to the following rules:
1. The first channel in the basic scrambled sequence is frequency 1
(Frequency 1 (index=1) is the lowest frequency in the list of frequencies to
be used, frequency 2 is the next frequency and so on.)
2. The index of each of the other channels is calculated by adding the
Spanning Factor to the index of the previous channel. Note that the
sequence is cyclic, meaning that adding 1 to the highest index in the
sequence (Index=N where N is the number of channels in the sequence)
will result in the first channel (Index=1).
The scrambled basic sequence can also be calculated using the formula: P
x
(j)= {[(j-1)*X]mod(N)}+1
Where:
X is the Spanning Factor
N is the number of channels in the sequence (modulus)
J is the sequence index
Example: N=8, X=3
P
1
(5)={[(1-1)*3}mod8}+1=1
P
2
(5)={[(2-1)*3}mod8}+1=6
P
3
(5)={[(3-1)*3}mod8}+1=3
P
4
(5)={[(4-1)*3}mod8}+1=8
P
5
(5)={[(5-1)*3}mod8}+1=5
P
6
(5)={[(6-1)*3}mod8}+1=2
P
7
(5)={[(7-1)*3}mod8}+1=7
P
8
(5)={[(8-1)*3}mod8}+1=4
And the basic scrambled sequence is: 1, 4, 7, 2, 5, 8, 3, 6.