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Analysis and Simulation of Second-Order Statistics with Modified Characteristic Function Parameters in a Multipath Fading Environment

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Abstract

In this paper, we analyse and implement a modified low pass filtering based characteristic function for a multipath Rayleigh fading channel. A new class of this modified filtering sequence based statistical simulation model is proposed for a Rayleigh fading environment. Comparing with the sum-of-sinusoids (SOS) deterministic model and its modifications as a new SOS model, the proposed model reintroduces the randomness to Doppler frequency and initial phase of the sinusoids to have non-deterministic simulators with desired statistical properties. The expressions and simulation results of level crossing rate (LCR) and average fade duration are derived and shown in this paper. Comparison of power spectra reveals that the spectrum spread is much less for our proposed method. Therefore, we would expect reduction in the rapidity of fading which is observed in LCR calculations.

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Authors and Affiliations

  1. Computer Science and Engineering Department, National Institute of Technology, Hamirpur, Himachal Pradesh, India

    Arvind Dhaka & Siddhartha Chauhan

  2. Department of Electrical and Computer Engineering, San Francisco State University, 1600 Holloway Avenue, San Francisco, CA, 94132, USA

    Vidhyacharan Bhaskar

Authors
  1. Arvind Dhaka
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  2. Siddhartha Chauhan
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  3. Vidhyacharan Bhaskar
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Correspondence to Vidhyacharan Bhaskar.

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Dhaka, A., Chauhan, S. & Bhaskar, V. Analysis and Simulation of Second-Order Statistics with Modified Characteristic Function Parameters in a Multipath Fading Environment. Wireless Pers Commun 100, 851–862 (2018). https://doi.org/10.1007/s11277-018-5352-y

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