The Exponent of a Polarizing Matrix Constructed from the Kronecker Product

Details The Exponent of a Polarizing Matrix Constructed from the Kronecker Product The Exponent of a Polarizing Matrix Constructed from the Kronecker Product

2011-08-17

arxiv.org/abs/1108.3417v1

Computer Science

Information Theory

7 pages, 1 figure, submitted to IEEE Transactions on Information Theory (July 27, 2011)

Scientific paper

The asymptotic performance of a polar code under successive cancellation decoding is determined by the exponent of its polarizing matrix. We first prove that the partial distances of a polarizing matrix constructed from the Kronecker product are simply expressed as a product of those of its component matrices. We then show that the exponent of the polarizing matrix is shown to be a weighted sum of the exponents of its component matrices. These results may be employed in the design of a large polarizing matrix with high exponent.

Affiliated with

Also associated with

No associations

Rating

The Exponent of a Polarizing Matrix Constructed from the Kronecker Product does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Exponent of a Polarizing Matrix Constructed from the Kronecker Product, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Exponent of a Polarizing Matrix Constructed from the Kronecker Product will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-540065