UNB ECE4253 Digital Communications
Department of Electrical and Computer Engineering - University of New Brunswick, Fredericton, NB, Canada

Constellation

The symbols below represent the output from a V.22bis modem in which a constant value binary message (11111111111...) has been scrambled using the polynomial P(x)  1 + x-14 + x-17 before modulation. Note the variety of transitions in the signal.

STATES: H-E-B-A-B-D-J-H-E-C-B-D-O-G-J-A-B-B-K-O-
STATE
CHANGE
QUADRANT
CHANGE
DIBIT 1NEW
STATE
DIBIT 2
H to E90 deg00E10
E to B0 deg01B01
B to A0 deg01A11
A to B0 deg01B01
B to D270 deg11D11
D to J180 deg10J00
J to H180 deg10H01
H to E90 deg00E10
E to C270 deg11C10
C to B90 deg00B01
B to D270 deg11D11
D to O270 deg11O01
O to G90 deg00G00
G to J180 deg10J00
J to A270 deg11A11
A to B0 deg01B01
B to B0 deg01B01
B to K180 deg10K00
K to O0 deg01O01
Constellation

Sequence (A..P)

Summary

The symbols and bits below represent the output from a V.22bis modem in which a constant value binary message (11111111111...) has been scrambled using the polynomial P(x)  1 + x-14 + x-17 before modulation.

INPUT STATES: H E B A B D J H E C B D O G J A B B K O
OUTPUT BITS: ---- 0010 0101 0111 0101 1111 1000 1001 0010 1110 0001 1111 1101 0000 1000 1111 0101 0101 1000 0101

The result may be descrambled by multiplication with P(x)=(100000000000001001) using the Online Calculator Tool

Refreshing this page will give a different sequence every time.


2024-04-19 05:51:31 ADT
Last Updated: 04-11-22
Richard Tervo [ tervo@unb.ca ] Back to the course homepage...