TU2.R7.2

Frame Codes for the Block-Erasure Channel

Itamar Jacoby, Ram Zamir, Tel-Aviv University, Israel

Session:
Sequences 1

Track:
1: Algebraic Aspects of Coding Theory

Location:
VIP

Presentation Time:
Tue, 9 Jul, 11:50 - 12:10

Session Chair:
Ram Zamir, Tel Aviv University
Abstract
Analog codes add redundancy by expanding the dimension using real/complex-valued operations. Frame theory provides a mathematical basis for constructing such codes, with diverse applications in non-orthogonal code-division multiple access (NOMA-CDMA), distributed computation, multiple description source coding, space-time coding (STC), and more. The channel model corresponding to these applications is a combination of noise and erasures. Recent analyses showed a useful connection between spectral random-matrix theory and large equiangular tight frames (ETFs) under random uniform erasures. In this work we generalize this model to a channel where the erasures come in blocks. This particularly fits NOMA-CDMA with multiple transmit antennas for each user and STC with known spatial grouping. We present a method to adjust ETF codes to suit block erasures, and find minimum intra-block-correlation frames which outperform ETFs in this setting.
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