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: M-M-N-D-J-H-L-K-H-K-B-H-J-P-J-M-P-H-F-J-
STATE
CHANGE
QUADRANT
CHANGE
DIBIT 1NEW
STATE
DIBIT 2
M to M0 deg01M11
M to N0 deg01N10
N to D180 deg10D11
D to J180 deg10J00
J to H180 deg10H01
H to L270 deg11L10
L to K0 deg01K00
K to H90 deg00H01
H to K270 deg11K00
K to B180 deg10B01
B to H270 deg11H01
H to J180 deg10J00
J to P90 deg00P11
P to J270 deg11J00
J to M0 deg01M11
M to P90 deg00P11
P to H90 deg00H01
H to F90 deg00F00
F to J90 deg00J00
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: M M N D J H L K H K B H J P J M P H F J
OUTPUT BITS: ---- 0111 0110 1011 1000 1001 1110 0100 0001 1100 1001 1101 1000 0011 1100 0111 0011 0001 0000 0000

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.


2026-07-15 13:10:16 ADT
Last Updated: 04-11-22
Richard Tervo [ tervo@unb.ca ] Back to the course homepage...