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A Large-System Analysis of the Imperfect-CSIT Gaussian Broadcast Channel with a DPC-based Transmission Strategy

2010/02/08 by Chinmay S. Vaze, Vaze, Chinmay S., Mahesh K. Varanasi +1
Computer Science · Engineering · Mathematics · #Advanced MIMO Systems Optimization #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Security Techniques #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1002.1531

Submitted to ISIT 2010

openalex publication_date 2010/02/08 · arxiv created 2010/02/18 · arxiv updated 2010/02/26 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

The Gaussian broadcast channel (GBC) with K transmit antennas and K single-antenna users is considered for the case in which the channel state information is obtained at the transmitter via a finite-rate feedback link of capacity r bits per user. The throughput (i.e., the sum-rate normalized by K) of the GBC is analyzed in the limit as K → ∞ with (r)/(K) → r. Considering the transmission strategy of zeroforcing dirty paper coding (ZFDPC), a closed-form expression for the asymptotic throughput is derived. It is observed that, even under the finite-rate feedback setting, ZFDPC achieves a significantly higher throughput than zeroforcing beamforming. Using the asymptotic throughput expression, the problem of obtaining the number of users to be selected in order to maximize the throughput is solved.

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