التفاصيل البيبلوغرافية
| العنوان: |
Wide-sense stationary discrete-time random processes: Analyses in the discrete-Fresnel and discrete-frequency domains. |
| المؤلفون: |
de Lima Filomeno, Mateus1 (AUTHOR) mateus.lima@engenharia.ufjf.br, Giroto de Oliveira, Lucas2 (AUTHOR), Camponogara, Ândrei3 (AUTHOR), Zwick, Thomas2 (AUTHOR), de Campos, Marcello Luiz Rodrigues4 (AUTHOR), Ribeiro, Moisés Vidal1 (AUTHOR) |
| المصدر: |
Journal of the Franklin Institute. Dec2024, Vol. 361 Issue 18, pN.PAG-N.PAG. 1p. |
| مصطلحات موضوعية: |
*STOCHASTIC processes, *STATIONARY processes, *MULTIPLEXING, *PINK, *SUFFIXES & prefixes (Grammar) |
| مستخلص: |
This article investigates the expectation and autocorrelation functions of random processes in the discrete-Fresnel and the discrete-frequency domains, originating from wide-sense stationary (WSS) random processes in the discrete-time domain. Through mathematical deduction, it is demonstrated that WSS random processes in the discrete-time domain exhibit the same expectation and autocorrelation functions as transformed to the discrete-Fresnel domain. In contrast, this property is not observed in the discrete-frequency domain. White, pink, and brown random processes are considered to illustrate these behaviors in the discrete-Fresnel and discrete-frequency domains. Furthermore, this study numerically compares data communication systems based on single-carrier with cyclic prefix, orthogonal chirp-division multiplexing, and orthogonal frequency-division multiplexing schemes, which are respectively designed in the discrete-time, discrete-Fresnel, and discrete-frequency domains. The numerical results show that orthogonal chirp-division multiplexing and single-carrier with cyclic prefix schemes achieve comparable communication performance under any additive noise modeled by a wide-sense stationary random process, regardless of the chosen linear equalization or the absence of it. • An expected value in the discrete-time domain is kept in the discrete-Fresnel domain. • The same autocorrelation function is seen in both time and Fresnel discrete domains. • The DFnT does not alter the WSS characteristic of random processes. • OCDM and SC-CP perform equally in terms of SNR for any kind of WSS additive noise. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
Academic Search Index |