Determining the Number of Propagation Paths from Broadband Mimo Measurements via Bootstrapped Likelihoods and the False Discovery Rate Criterion - Part I: Methodology

In this paper, we propose a multiple hypotheses test for determining the number of propagation paths from broadband MIMO channel measurements. For this test, maximum-likelihood (ML) estimates for propagation delay, direction of arrival, direction of departure, and Doppler shifts are required for each potential number of propagation paths. The ML-estimator is implemented via a variant of the space alternating generalized expectation-maximization (SAGE) algorithm. The proposed test is based on the Benjamini- Hochberg procedure for guaranteeing a false discovery rate and employs the simple bootstrap approach for approximating the required p-values for the multiple test. In a companion paper, we apply the proposed test to real broadband MIMO antenna array measurements and discuss its performance.