Instruction manual
Menus and Parameters
2-51
BreezeACCESS Version 4.3 System Manual
P
S
(j)={[P
0
(j)+S-1]mod(N)}+1
Where:
S=Hopping Shift
N=number of channels in the sequence (modulus)
P
0
(j)=Channel no. j in the basic sequence (shift=0)
P
S
(j)=Channel no. j in the actual sequence with hopping
shift S
Example: The basic hopping sequence is 1, 4, 7, 2, 5, 8, 3, 6
(Enhanced Scrambling, N=8, Spanning Factor=3).
The actual hopping sequence for a hopping shift of 3 is:
P
3
(1)=[1+3-1]mod8+1=4
P
3
(2)=[4+3-1]mod8+1=7
P
3
(3)=[7+3-1]mod8+1=2
P
3
(4)=[2+3-1]mod8+1=5
P
3
(5)=[5+3-1]mod8+1=8
P
3
(6)=[8+3-1]mod8+1=3
P
3
(7)=[3+3-1]mod8+1=6
P
3
(8)=[6+3-1]mod8+1=1
The actual hopping sequence indexes are:
4, 7, 2, 5, 8, 3, 6, 1
Standard and Manual Scrambling:
In these modes the shift operation is performed on the
sequence elements. The basic sequence is shifted cyclically
according to the value of the Hopping Shift parameter, so
that element no. i in the actual sequence equals element
number i+s in the basic sequence, where s is the hopping
shift. Thus, if the basic sequence is a, b, c, d, e, f then a shift
of 1 will result in the sequence b, c, d, e, f, a,; a shift of 2 will
result in the sequence c, d, e, f, a, b; and so forth.
Example: Standard Scrambling, N=6
Table 2-9: Hopping Shift Implementation, Standard Scrambling (N=6)
If the defined frequencies are 5730, 5740, 5750, 5760, 5770,
5780, then the frequencies of the actual hopping sequences
are:
Hopping Shift Actual Sequence
0 (basic sequence) 1, 3, 5, 2, 6, 4
1 3, 5, 2, 6, 4, 1
2 5, 2, 6, 4, 1, 3
3 2, 6, 4, 1, 3, 5
4 6, 4, 1, 3, 5, 2
5 4, 1, 3, 5, 2, 6