Dynamic Integration using Sampling in Fading Channels

In this paper, we demonstrate that the sampling property of a delta function can be used to quantify integration dynamically. The proposed approach reduces integration to a sampling. The sampling point is obtained in terms of a constant or fading parameter. We illustrate an example using Rayleigh fading channel. We investigate the dynamic behavior of the sampling error probability, relative error and sampling point error of the proposed integration. We extend the result to the general order rectangular QAM with Nakagami-n fading. The significance of the proposed method is that the dynamic integration can be used to find integrals with no available antiderivative.