A Simple Accurate Method for Generating Autocorrelated Nakagami-m Envelope Sequences

• Published in: IEEE communications letters Vol. 11; no. 3; pp. 231 - 233
• Main Authors: Silveira Santos Filho, Jose Candido, Yacoub, Michel Daoud, Fraidenraich, Gustavo
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.03.2007; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Autocorrelation; Envelopes; Exact sciences and technology; Fading; Nakagami distribution; Probability density function; Rayleigh channels; Samples; Statistical analysis; Statistical distributions; Statistical methods; Statistics; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Fading channels; Performance evaluation; Rank statistic; Nakagami fading; M-sequences; Simulation; Nakagami-m fading channels; Autocorrelation
• ISSN: 1089-7798; 1558-2558
• DOI: 10.1109/LCOMM.2007.061491

We propose a simple accurate method for generating autocorrelated Nakagami-m envelope sequences. The method allows for arbitrary values of fading parameter and nonisotropic fading scenarios. In essence, Nakagami-m samples are first drawn and then rearranged to match the Nakagami-m autocorrelation. The rearrangement is made in accordance with the rank statistics of an underlying Rayleigh reference sequence with the desired autocorrelation. Examples illustrate the excellent performance of the new method