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20 papers · 1 filter
Compressed Sensing with Probabilistic Measurements: A Group Testing Solution
Mahdi Cheraghchi, Ali Hormati, Amin Karbasi +1
Detection of defective members of large populations has been widely studied in the statistics community under the name "group testing", a problem which dates back to World War II w…
Polarization for arbitrary discrete memoryless channels
Eren Sasoglu, Emre Telatar, Erdal Arikan
Channel polarization, originally proposed for binary-input channels, is generalized to arbitrary discrete memoryless channels. Specifically, it is shown that when the input alphabe…
The Compound Capacity of Polar Codes
S. Hamed Hassani, Satish Babu Korada, Ruediger Urbanke
We consider the compound capacity of polar codes under successive cancellation decoding for a collection of binary-input memoryless output-symmetric channels. By deriving a sequenc…
Decay of Correlations for Sparse Graph Error Correcting Codes
Shrinivas Kudekar, Nicolas Macris
The subject of this paper is transmission over a general class of binary-input memoryless symmetric channels using error correcting codes based on sparse graphs, namely low-density…
Polar Codes are Optimal for Lossy Source Coding
Satish Babu Korada, Rudiger Urbanke
We consider lossy source compression of a binary symmetric source using polar codes and the low-complexity successive encoding algorithm. It was recently shown by Arikan that polar…
Analysis of the Second Moment of the LT Decoder
Ghid Maatouk, Amin Shokrollahi
We analyze the second moment of the ripple size during the LT decoding process and prove that the standard deviation of the ripple size for an LT-code with length is of the ord…