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In this study, the authors consider the direction of arrival (DOA) estimation problem for a monostatic multiple-input multiple-output (MIMO) radar. A DOA estimation algorithm for the monostatic MIMO radar using Capon and the reduceddimension transformation is proposed. The proposed algorithm can achieve lower computational complexity than the Capon algorithm, while not debasing the performance of the angle estimation. The proposed algorithm has better angle estimation performance than the Capon algorithm and estimation of signal parameters via rotational invariance techniques algorithm, and it has close angle estimation performance to the Cramér -Rao bound (CRB). The variance of the estimation error and the CRB of the DOA estimation are derived. Simulation results present the usefulness of the proposed algorithm.

Abstract. In this work, we study a new multivariate quadratic (MQ) assumption that can be used to construct public-key encryptions. In particular, we research in the following two directions:-We establish a precise asymptotic formulation of a family of hard MQ problems, and provide empirical evidence to confirm the hardness. -We construct public-key encryption schemes, and prove their security under the hardness assumption of this family. Also, we provide a new perspective to look at MQ systems that plays a key role to our design and proof of security.As a consequence, we construct the first public-key encryption scheme that is provably secure under the MQ assumption. Moreover, our publickey encryption scheme is efficient in the sense that it only needs a ciphertext length L + poly(k) to encrypt a message M ∈ {0, 1} L for any un-prespecified polynomial L, where k is the security parameter. This is essentially optimal since an additive overhead is the best we can hope for.

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