Some Constructions and Mathematical Properties of Zero-Correlation-Zone Sonar Sequences

Round 1

Reviewer 1 Report

This paper proposed the zero-correlation-zone (ZCZ) of radius r on two-dimensional m × n sonar sequences and define the (m, n, r) ZCZ sonar sequences, along with some constructions and property analysis. The presented concepts and results are original, interesting and significant, leaving lots of potentials for further research. 

Unfortunately, most of the basic results (kernels) are obtained mainly by computer search for the true maximum r in (m, n, r) ZCZ sonar sequences for m up to 78 and n in the range from m to m + 2. It would be very good if the existence conditions of (m, n, r) ZCZ-DD sonar sequences and construction mechanism behind these basic results could be disclosed, and extended to arbitrary m.  However, this could be the future work as it is quite difficult to do so. 

If possible, the author may propose a few conjectures based on the analysis of the searched results. 

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 2 Report

Please, compare the advantages of your proposed ZCZ sonar sequences to other sequences published in literature( Costas, reference [25], reference [31], or any other).

As suplemmentary material, it would be interesting that you provide a routine (Matlab, Phyton, ...) to generate an example of your ZCZ sonar sequences. Or indicate another data repository to find such routine.

Author Response

Please see the attachment.

Author Response File: Author Response.pdf