Downsampling of DFT Precoded Signals for the AWGN Channel

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Resumé

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.
OriginalsprogEngelsk
TitelProceedings of the 12th IEEE International Symposium on Signal Processing and Information Technology
Antal sider6
ForlagIEEE
Publikationsdato2012
Sider141-146
ISBN (Trykt)978-1-4673-5604-6
DOI
StatusUdgivet - 2012
BegivenhedIEEE International Symposium on Signal Processing and Information Technology - Ho Chi Minh City, Vietnam
Varighed: 12 dec. 201215 dec. 2012

Konference

KonferenceIEEE International Symposium on Signal Processing and Information Technology
LandVietnam
ByHo Chi Minh City
Periode12/12/201215/12/2012

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

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Jensen, T. L., Fyhn, K., Arildsen, T., & Larsen, T. (2012). Downsampling of DFT Precoded Signals for the AWGN Channel. I Proceedings of the 12th IEEE International Symposium on Signal Processing and Information Technology (s. 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. s. 141-146
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title = "Downsampling of DFT Precoded Signals for the AWGN Channel",
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. i Proceedings of the 12th IEEE International Symposium on Signal Processing and Information Technology. IEEE, s. 141-146, Ho Chi Minh City, Vietnam, 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. s. 141-146.

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

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