Downsampling of DFT Precoded Signals for the AWGN Channel

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Abstract

In this paper we propose and analyze a method for downsampling discrete Fourier transform (DFT) precoded signals. Since the symbols (in frequency) are in the constellation set, which is a subset of the entire complex plane, it is possible to detect N symbols from the DFT precoded signal when transmitting M < N symbols, whereM is not too small. We build our analysis on so-called simple vectors, and show that it is possible to detect in the noise-less case with high probability down to approximately M ≥ N/4 for BPSK and M ≥ N/2 for QPSK. We develop extensions from the noise-less to the noisy case, and propose two different detectors for the AWGN channel. Simulations show that using the two proposed detectors in the AWGN channel, we observe empirically a phase transition at M ≈ N/2 for QPSK. Further, it is shown how downsampled QPSK signals can achieve the same BER and data rate as 8PSK at a lower signal-to-noise-ratio per information bit.
Original languageEnglish
Title of host publicationProceedings of the 12th IEEE International Symposium on Signal Processing and Information Technology
Number of pages6
PublisherIEEE
Publication date2012
Pages141-146
ISBN (Print)978-1-4673-5604-6
DOIs
Publication statusPublished - 2012
EventIEEE International Symposium on Signal Processing and Information Technology - Ho Chi Minh City, Viet Nam
Duration: 12 Dec 201215 Dec 2012

Conference

ConferenceIEEE International Symposium on Signal Processing and Information Technology
CountryViet Nam
CityHo Chi Minh City
Period12/12/201215/12/2012

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Quadrature phase shift keying
Discrete Fourier transforms
Detectors
Signal to noise ratio
Phase transitions

Cite this

Jensen, T. L., Fyhn, K., Arildsen, T., & Larsen, T. (2012). Downsampling of DFT Precoded Signals for the AWGN Channel. In Proceedings of the 12th IEEE International Symposium on Signal Processing and Information Technology (pp. 141-146). IEEE. https://doi.org/10.1109/ISSPIT.2012.6621276
Jensen, Tobias Lindstrøm ; Fyhn, Karsten ; Arildsen, Thomas ; Larsen, Torben. / Downsampling of DFT Precoded Signals for the AWGN Channel. Proceedings of the 12th IEEE International Symposium on Signal Processing and Information Technology. IEEE, 2012. pp. 141-146
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abstract = "In this paper we propose and analyze a method for downsampling discrete Fourier transform (DFT) precoded signals. Since the symbols (in frequency) are in the constellation set, which is a subset of the entire complex plane, it is possible to detect N symbols from the DFT precoded signal when transmitting M < N symbols, whereM is not too small. We build our analysis on so-called simple vectors, and show that it is possible to detect in the noise-less case with high probability down to approximately M ≥ N/4 for BPSK and M ≥ N/2 for QPSK. We develop extensions from the noise-less to the noisy case, and propose two different detectors for the AWGN channel. Simulations show that using the two proposed detectors in the AWGN channel, we observe empirically a phase transition at M ≈ N/2 for QPSK. Further, it is shown how downsampled QPSK signals can achieve the same BER and data rate as 8PSK at a lower signal-to-noise-ratio per information bit.",
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Jensen, TL, Fyhn, K, Arildsen, T & Larsen, T 2012, Downsampling of DFT Precoded Signals for the AWGN Channel. in Proceedings of the 12th IEEE International Symposium on Signal Processing and Information Technology. IEEE, pp. 141-146, IEEE International Symposium on Signal Processing and Information Technology, Ho Chi Minh City, Viet Nam, 12/12/2012. https://doi.org/10.1109/ISSPIT.2012.6621276

Downsampling of DFT Precoded Signals for the AWGN Channel. / Jensen, Tobias Lindstrøm; Fyhn, Karsten; Arildsen, Thomas; Larsen, Torben.

Proceedings of the 12th IEEE International Symposium on Signal Processing and Information Technology. IEEE, 2012. p. 141-146.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

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Jensen TL, Fyhn K, Arildsen T, Larsen T. Downsampling of DFT Precoded Signals for the AWGN Channel. In Proceedings of the 12th IEEE International Symposium on Signal Processing and Information Technology. IEEE. 2012. p. 141-146 https://doi.org/10.1109/ISSPIT.2012.6621276