Understanding the impact of Light cone effect on the EoR/CD 21-cm power spectrum

AbstractRedshifted HI 21-cm signal from the cosmic dawn and epoch of reionization evolve considerably along the LoS. We study the impact of this evolution (so called the light cone effect) on the HI 21-cm power spectrum. It is found that the LC effect has a significant impact on the 3D power spectrum and the change could be up to a factor of few. The LC effect is particularly strong during the cosmic dawn near the ‘peaks’ and ‘dips’ in the power spectrum when plotted with redshift. We also show that the 3D power spectrum, which could fully describe ergodic and periodic signal, losses out some information regarding the second order statistics of the signal as the EoR/CD 21-cm signal is non-ergodic and non-periodic along the line of sight. We show that the multi-frequency angular power spectrum (MAPS)${\mathcal {C}}_{\ell }(\nu _1, \nu _2)$captures all the information regarding the second order statistics of the signal even in the presence of the LC effect.

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The Impact of Shadowing and the Severity of Fading on the First and Second Order Statistics of the Capacity of OSTBC MIMO Nakagami-Lognormal Channels

Wireless Personal Communications ◽

10.1007/s11277-011-0275-x ◽

2011 ◽

Vol 65 (3) ◽

pp. 601-616 ◽

Cited By ~ 2

Author(s):

Gulzaib Rafiq ◽

Matthias Pätzold

Keyword(s):

Order Statistics ◽

Second Order ◽

Second Order Statistics ◽

The Impact

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Second-Order Statistics of MRC Reception With a Transparent Amplify-and-Forward Relay

International Journal of Interdisciplinary Telecommunications and Networking ◽

10.4018/ijitn.2020010101 ◽

2020 ◽

Vol 12 (1) ◽

pp. 1-14

Author(s):

Jia-Chin Lin ◽

Chun-Lin Lin

Keyword(s):

Order Statistics ◽

Spatial Diversity ◽

Second Order ◽

Maximal Ratio Combining ◽

Relay Network ◽

Upper And Lower Bounds ◽

Amplify And Forward ◽

Second Order Statistics ◽

Af Relay ◽

The Impact

Achievable spatial diversity supported by a single transparent amplify-and-forward (AF) relay relies on disintegrated channel state information (CSI) that can be acquired at the destination. This paper studies the impact of the quantization of the source-relay (SR) CSI in terms of the first- and second-order statistics of maximal-ratio combining (MRC) reception with the incomplete SR CSI at the destination. Probability density functions (PDFs) of the upper and lower bounds of the signal-to-noise ratio (SNR) achieved at the destination are derived. Corresponding level-crossing rate (LCR) and average fade-duration (AFD), which are undoubtedly required to choose parameters of forward error correcting (FEC) mechanisms across the transparent AF relay network, are evaluated via Monte Carlo simulations. The simulations show that the SNR PDF, LCR and AFD highly depends not only on the accuracy of SR CSI at the destination but also on the location of the AF relay.

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