A Group-Theoretic Approach to the WSSUS Pulse Design Problem

Details A Group-Theoretic Approach to the WSSUS Pulse Design Problem A Group-Theoretic Approach to the WSSUS Pulse Design Problem

2005-01-28

arxiv.org/abs/cs/0501082v4

Computer Science

Information Theory

5 pages, final version for 2005 IEEE International Symposium on Information Theory; added references for section 2; corrected

Scientific paper

We consider the pulse design problem in multicarrier transmission where the pulse shapes are adapted to the second order statistics of the WSSUS channel. Even though the problem has been addressed by many authors analytical insights are rather limited. First we show that the problem is equivalent to the pure state channel fidelity in quantum information theory. Next we present a new approach where the original optimization functional is related to an eigenvalue problem for a pseudo differential operator by utilizing unitary representations of the Weyl--Heisenberg group.A local approximation of the operator for underspread channels is derived which implicitly covers the concepts of pulse scaling and optimal phase space displacement. The problem is reformulated as a differential equation and the optimal pulses occur as eigenstates of the harmonic oscillator Hamiltonian. Furthermore this operator--algebraic approach is extended to provide exact solutions for different classes of scattering environments.

Affiliated with

Also associated with

No associations

Rating

A Group-Theoretic Approach to the WSSUS Pulse Design Problem 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 A Group-Theoretic Approach to the WSSUS Pulse Design Problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Group-Theoretic Approach to the WSSUS Pulse Design Problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-287400