Emin Martinian

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We consider transmitting a source across a pair of independent, nonergodic channels with random states (e.g., slow-fading channels) so as to minimize the average distortion. The general problem is unsolved. Hence, we focus on comparing two commonly used source and channel encoding systems which correspond to exploiting diversity either at the physical layer(More)
We present a new class of systematic, time-invariant, convolutional encoders suitable for low delay burst erasure correction. Specifically, we show that the new encoders have the shortest possible decoding delay required to correct all bursts of a given length with a fixed redundancy. By comparing the new encoders to maximum distance separable (MDS) codes,(More)
Delay-optimal burst erasure correction codes have the shortest possible decoding delay required to correct all bursts of a given length with a fixed redundancy. We provide a simple construction that yields linear convolutional delay-optimal burst erasure codes for any choice of coding parameters while keeping the finite field small.
We propose a new construction for low-density source codes with multiple parameters that can be tuned to optimize the performance of the code. In addition, we introduce a set of analysis techniques for deriving upper bounds for the expected distortion of our construction, as well as more general low-density constructions. We show that (with an optimal(More)
In this paper, we describe and analyze the source and channel coding properties of a class of sparse graphical codes based on compounding a low-density generator matrix (LDGM) code with a low-density parity-check (LDPC) code. Our first pair of theorems establishes that there exist codes from this ensemble, with all degrees remaining bounded independently of(More)
Diversity techniques often arise as appealing means for improving performance of multimedia communication over certain types of channels with independent parallel components (e.g., multiple antennas, frequency bands, or time slots). Diversity can be obtained by channel coding across parallel components at the physical layer. Alternatively, the physical(More)