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This note considers the problem of blind identification of a linear, time-invariant (LTI) system when the input signals are unknown, but belong to sufficiently diverse, known subspaces. This problem can be recast as the recovery of a rank-1 matrix, and is effectively relaxed using a semidefinite program (SDP). We show that exact recovery of both the unknown impulse response, and the unknown inputs,...
This paper considers the problem of detecting and localizing material anomalies in solid structures, given spatiotemporal observations at a pre-defined grid of points that collectively describe the material displacement resulting from an induced, propagating acoustic surface wave. We propose an approach that seeks to separate or “demix” each temporal snapshot of the propagating wavefield into its...
We analyze the problem of strong coordination over a multi-hop line network where the node initiating the coordination is a terminal network node. We provide a characterization of the capacity region when the initiating node possesses unlimited local randomness and intermediate nodes operate under a functional regime. In this regime, next-hop messages are created only using common randomness and previous-hop...
An optical orthogonal code (OOC) of length N is a set of {0, 1}-sequences of length N, all of which have a constant weight. It is employed as a spreading code in optical communication systems, where 1 means signal ‘on’ and 0 signal ‘off.’ In this paper, we present a generic construction of OOCs of length (q−1)N from an OOC of length N, where q is a prime power with gcd(q −1,N) = 1. This construction...
The duality between the capacity regions of Gaussian broadcast channels and Gaussian multiple access channels has been well established. However, there have been limited results for the discrete case. In this work, we show that we can express the capacity regions of a class of broadcast channels using the rate regions of a finite number of multiple access channels.
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