An Analysis of Newton's Method in Wireless Systems using Gabor Frames

Gabor expansion technique with a one tap time frequency channel model has shown to be an effective realization method. The error introduced by a dispersive single tap time frequency channel model can be reduced by using optimized Gabor prototype frames. This problem can be formulated into a semi definite programming problem. From practical point of view, the situation becomes increasingly interesting under Wide-Sense Stationary Uncorrelated Scattering (WSSUS) channel conditions. This paper presents and analyzes the performance of Newton's method in optimization to find the solution. On account of its physical significance and impact, consideration has been given to the WSSUS conditions. The performance of the algorithm under UMTS suburban conditions reveals attention grabbing results, especially the reduced time for standard delay spreads is worth mentioning. The flexibility with generalized multicarrier schemes featuring augmented time bandwidth activity makes the model tempting in the context of cognitive radio environments. This has targeted numerous applications such as building a sensor network with a re-configurable receiver adapting to various wireless standards.