
	ECE4253 Digital Communications

	Department of Electrical and Computer Engineering - University of New Brunswick, Fredericton, NB, Canada

Binary Sequence Correlation Tool

This online tool computes the correlation of periodic binary sequence. In particular, maximum length Linear Recursive Sequences (LRS) have distinct autocorrelation properties.

Binary Sequence

For correlation, ones and zeros are replaced by +1 and -1 respectively

1	1	1	1	1	0	0	1	1	0	1	0	1

+	+	+	+	+	-	-	+	+	-	+	-	+

This bit pattern matches a 13-bit Barker Code (see below).

Correlation Result

The correlation of a sequence with itself is autocorrelation. The autocorrelation result has a period of 13 bits corresponding to the length of the supplied sequence. The graph shows two full periods of the autocorrelation result.


13 1 1 1 1 1 1 1 1 1 1 1 1

Input Sequences

Enter two binary sequences (A,B) to be correlated. For autocorrelation, only the first sequence (A) is required.

Example Maximum Length Sequences: [ 7-bit ] [ 15-bit ] [ 31-bit ] [ 63-bit ]

Special Sequences - Barker Code

Each Barker code below may also be inverted and bit-reversed. [bits]

[2]	+ +
[2]	+ -
[3]	+ - -
[4]	+ - - -
[4]	- + - -
[5]	+ + + - +
[7]	+ + + - - + -
[11]	+ + + - - - + - - + -
[13]	+ + + + + - - + + - + - +

Ref: R. H. Barker, Group synchronization of binary digital systems, in Communication Theory, W. Jackson, Ed. London, U.K.: Butterworths, 1953, pp. 273-287.


2025-11-05 13:52:06 AST Last Updated: 04-09-05	Richard Tervo [ tervo@unb.ca ]	Back to the course homepage...