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Sequence Detection with Variable Sampling Rate and Block Length Under ISI Channels

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Abstract

We propose, in this paper, the sequence detection scheme with variable sampling rate and block length under inter-symbol interference (ISI) channels. In the proposed scheme, the receiver samples the received signal at the rate that is a times the symbol rate and performs sequence detection for a sequence of transmitted symbols; in addition, the sequence is divided into blocks with each block containing M transmitted symbols, and the receiver detects each block on the basis of N received samples. On the basis of the proposed scheme, we derive the condition which explains how to utilize the relationship among sampling rate, block length and channel length (which is equal to L + 1 symbol periods) to remove the impact of inter-block ISI (IBI). This IBI-free condition implies that if \(a \ge \frac{1 + 2L}{{M + L}}\), increasing a can remove the impact of IBI so that the achievable rate for the scheme with IBI can approach the achievable rate for the scheme without IBI. We further show that the combination of oversampling and unit block length (\(M = 1\)) gives the maximal achievable rate, and the maximal achievable rate is equal to the channel capacity of AWGN channel. Moreover, it is shown that the maximal achievable rate decreases as M increases, and this result implies that in addition to increasing the complexity, increasing M can also degrade the performance.

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  1. Department of Electrical Engineering, National Chi Nan University, Puli, Nantou, Taiwan

    Jui Teng Wang

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  1. Jui Teng Wang
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Correspondence to Jui Teng Wang.

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Wang, J.T. Sequence Detection with Variable Sampling Rate and Block Length Under ISI Channels. Circuits Syst Signal Process 43, 1980–1992 (2024). https://doi.org/10.1007/s00034-023-02553-6

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  • DOI: https://doi.org/10.1007/s00034-023-02553-6

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