Downsampling of DFT Precoded Signals for the AWGN Channel

Tobias Lindstrøm Jensen, Karsten Fyhn, Thomas Arildsen, Torben Larsen

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

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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
Country/TerritoryViet Nam
CityHo Chi Minh City
Period12/12/201215/12/2012

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