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- W4302010320 abstract "We extend earlier work on the design of convolutional code-specific CRC codes to $Q$-ary alphabets, with an eye toward $Q$-ary orthogonal signaling. Starting with distance-spectrum optimal, zero-terminated, $Q$-ary convolutional codes, we design $Q$-ary CRC codes so that the CRC/convolutional concatenation is distance-spectrum optimal. The $Q$-ary code symbols are mapped to a $Q$-ary orthogonal signal set and sent over an AWGN channel with noncoherent reception. We focus on $Q = 4$, rate-1/2 convolutional codes in our designs. The random coding union bound and normal approximation are used in earlier works as benchmarks for performance for distance-spectrum optimal convolutional codes. We derive a saddlepoint approximation of the random coding union bound for the coded noncoherent signaling channel, as well as a normal approximation for this channel, and compare the performance of our codes to these limits. Our best design is within $0.6$ dB of the RCU bound at a frame error rate of $10^{-4}$." @default.
- W4302010320 created "2022-10-06" @default.
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- W4302010320 date "2022-09-30" @default.
- W4302010320 modified "2023-09-28" @default.
- W4302010320 title "CRC-Aided Short Convolutional Codes and RCU Bounds for Orthogonal Signaling" @default.
- W4302010320 doi "https://doi.org/10.48550/arxiv.2210.00026" @default.
- W4302010320 hasPublicationYear "2022" @default.
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