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Lossy compressed sensing (CS) of a sparse source is studied. A lower bound to the best achievable compression performance in a finite rate CS setup is established by providing support side information to the encoder and decoder. The rate-distortion problem is formulated via remote source coding and conditional rate-distortion theory. The best encoder separates into an estimation step and a rate-dependent...
Upper and lower bounds on the capacity of Gaussian multicast relay channels are shown to be quasi-concave in the receiver signal-to-noise ratios and the transmit correlation coefficient. The bounds considered are the cut-set bound, decode-forward (DF) rates, and quantize-forward rates. The DF rates are shown to be quasi-concave in the relay position and this property is used to optimize the relay...
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