Hi! I have questions to consult with scholars.
We consider a multiuser MISO downlink communication system where an IRS equipped with a UPA ( with M reflecting elements) is deployed to enhance the communications from an AP equipped with a ULA) (with N antennas) to K single-antenna users. Then, we model the AP-user, AP-IRS and IRS-user channels as the spatially correlated Rician fading channels.
1) For "the spatial correlation matrix between the IRS and user k", "the AP transmit correlation matrix ","the IRS receive correlation matrix" ,
how to implement programming them using the exponential correlation model, respectively?
2)Are these the same as AP's steering vectors and IRS's steering vectors? Is there any association?
In other words, how to program spatially correlated Rician fading channels with Matlab?
Thank you for your time and effort.
Looking forward to your reply.
Best regards,
Meng Gao
Email：[email protected]
Phone & Wechat:15738897318
Hi!
1. I wouldn't recommend using the exponential correlation model because it is not a physically motivated model, so it is unable to model the spatial correlation at a UPA. You can instead consider the model that we describe in the following paper: https://arxiv.org/pdf/2108.04633.pdf
It describes the spatial correlation between the antennas when there are scattering clusters in specific angular directions.
2. All physically motivated models are based on the steering vectors (called array response vectors in my paper). The starting point is Eq. (2) which is the integral over steering vectors multiplied by factors that determine how much signal energy comes from different directions.
A Rician fading channel is given by "array steering vector * a random phase shift + correlated Rayleigh fading channel". You can use the model described above to create the spatial correlated Rayleigh fading part. One option is to place a scattering cluster around the LOS angle.
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