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Theoretical Limits of Language Model Alignment $f$-Divergence Regularized RLHF: Two Tales of Sampling and Unified Analyses A Unified Measure-Theoretic View of Diffusion, Score-Based, and Flow Matching Generative Models When Can Voting Help, Hurt, or Change Course? 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Decode and Forward Relaying for SC-FDE Systems with a Multi-Antenna Relay
Farshad Dizani, Ali Olfat · 2025-03-14 · via cs.IT updates on arXiv.org

In this paper, a cooperative relay network consisting of a single-antenna source, a multi-antenna relay, and a multi-antenna destination is considered. The relay operates in decode-and-forward (DF) mode under frequency-selective fading. To combat intersymbol interference (ISI), single-carrier frequency-domain equalization (SC-FDE) with or without decision feedback is deployed at the relay and the destination. The equalization coefficients are obtained using minimum mean squared error (MMSE) criterion. Both equal and optimum power allocations for a constant total transmit power at the relay are considered. While, the optimum power allocation is a non-convex problem, the solution is obtained using strong duality.

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