{'fraction_non_alphanumeric': 0.03085824493731919, 'fraction_numerical': 0.0009643201542912247, 'mean_word_length': 4.641304347826087, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
On achieving optimal degrees of freedom of MIMO cellular networks using decomposition

This paper investigates the significance of decomposition-based schemes in achieving the optimal degrees of freedom (DoF) of multiple-input multiple-output (MIMO) cellular networks. We consider MIMO cellular networks with G cells, K users/cell with M antennas at each user, and N antennas at each base-station (BS). We assume all channels to be generic and time varying. We show that KMN over KM + N DoF/cell can be achieved through one-sided decomposition of a MIMO cellular network (on the user side), followed by the use of an asymptotic interference alignment scheme. We then prove that such an approach achieves the optimal DoF whenever M over N = 1 over q, where equation. The optimality is proved using a new set of outer bounds on the DoF of a MIMO cellular network. Finally, we comment on the DoF achieved using two-sided decomposition, and the optimal DoF of cellular networks with single-antenna users and cellular networks with two cells.