This paper considers a performance optimization problem in a cellular network. The objective is to optimize the network performance measured by reference signal received powers (RSRPs) and signal to interference plus noise ratios (SINRs) through the jointly configuration of the antenna angles (both tilt and azimuth), height, and transmit power of base stations. The problem is challenging in two aspects: 1) there is a lack of explicit expressions for both RSRPs and SINRs; and 2) huge amount of decision variables makes the problem highly complex. To address these issues, we formulate it as a soft coverage maximization problem and propose a zeroth-order block coordinate projected gradient descent (ZO-BCPGD) method, which only relies on the calculation of objective function values. The proposed ZO-BCPGD is proven to converge to stationary points under mild assumptions. The performance of the proposed algorithm is validated by numerical experiments.

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