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Erschienen in:
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2018 | OriginalPaper | Buchkapitel

Unimodular Sequences with Low Complementary Autocorrelation Properties

verfasst von : Israel Alejandro Arriaga-Trejo, Aldo Gustavo Orozco-Lugo

Erschienen in: Computer Science and Engineering—Theory and Applications

Verlag: Springer International Publishing

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Abstract

The design of sequences with constant amplitude in the time domain, that possess specific autocorrelation and specific complementary autocorrelation functions, is here addressed. The proposed sequences can be used in the identification of strictly linear (SL) and widely linear systems (WL) by making use of the second order characteristics of the process observed at the output of the system. Through the analysis developed, the main differences of the disclosed sequences with those commonly used for conventional SL processing are highlighted. Theoretical results are accompanied with numerical simulations to show the performance of the sequences here designed.

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Vorheriges Kapitel User Location Forecasting Based on Collective Preferences
Fußnoten
1
In the specialized literature, by good autocorrelation properties it is meant that the out of phase correlation coefficients have considerable low magnitude, ideally zero.
 
2
It is possible to determine explicitly the number of unknowns in the problem, in this case \( \left\{ {h_{1} \left( n \right)} \right\}_{n = 0}^{M - 1} \) and \( \left\{ {h_{2} \left( n \right)} \right\}_{n = 0}^{M - 1} \), by expanding the sum in (33).
 
3
The selection of \( \alpha = 0 \), necessarily implies \( \phi_{0} = 0 \), as can be verified by direct substitution in (43) and (44).
 
Literatur
1.
Frank R, Zadoff S, Heimiller R (1962) Phase shift pulse codes with good periodic correlation properties. IRE Trans Inf Theory 8:381–382CrossRef
2.
Schroeder M (1970) Synthesis of low-peak-factor signals and binary sequences with low autocorrelation. IEEE Trans Inf Theory 16:85–89
3.
Chu D (1972) Polyphase codes with good periodic correlation properties. IEEE Trans Inf Theory 18:531–532
4.
Velazquez-Gutierrez JM, Vargas-Rosales C (2016) Sequence sets in wireless communication systems: a survey. Commun Surveys Tuts 19:1225–1248CrossRef
5.
He H, Li J, Stoica P (2012) Waveform design for active sensing systems—a compu-tational approach. Cambridge Press
6.
Stoica P, He H, Li J (2009) New algorithms for designing unimodular sequences with good correlation properties. IEEE Trans Signal Process 57:1415–1425MathSciNetCrossRef
7.
Stoica P, He H, Li J (2009) On designing sequences with impulse-like periodic correlation. IEEE Signal Process Lett 16:703–706CrossRef
8.
Picinbono B, Chevalier P (1995) Widely linear estimation with complex data. IEEE Trans Signal Process 43:2030–2033CrossRef
9.
Adali T, Schreier PJ, Scharf LL (2011) Complex-valued signal processing: the proper way to deal with improperty. IEEE Trans Signal Process 59:5101–5125MathSciNetCrossRef
10.
Anttila L, Valkama M, Renfors M (2008) Circular based I/Q imbalance compensation in wideband direct-conversion receivers. IEEE Trans Veh Technol 57:2099–2113CrossRef
11.
Schenk TCW, Fledderus ER, Smulders PFM (2007) Performance analysis of zero-IF MIMO OFDM transceivers with IQ imbalance. J Commun 2:9–19CrossRef
12.
Rodriguez-Avila R, Nunez-Vega G, Parra-Michel R et al (2013) Frequency-selective joint Tx/Rx I/Q imbalance estimation using Golay complementary sequences. IEEE Trans Wireless Commun 12:2171–2179CrossRef
13.
Lopez-Estraviz E, De Rore S, Horlin P et al (2007) Pilot design for joint channel and frequency-dependent transmit/receive IQ imbalance estimation and compensation in OFDM-based transceivers. Paper presented at the IEEE international conference on communications, Glasgow, August 2007, pp 4861–4866
14.
Minn H, Munoz D (2010) Pilot designs for channel estimation of MIMO OFDM systems with frequency-dependent I/Q imbalances. IEEE Trans Commun 58:2252–2264CrossRef
15.
Orozco-Lugo AG, Lara MM, McLernon DC (2004) Channel estimation using implicit training. IEEE Trans Signal Process 52:240–254MathSciNetCrossRefMATH
16.
Arriaga-Trejo IA, Orozco-Lugo AG, Veloz-Guerrero A et al (2011) Widely linear system estimation using superimposed training. IEEE Trans Signal Process 59:5651–5657MathSciNetCrossRef
17.
Arriaga-Trejo IA, Trancoso J, Vilanueva J et al (2016) Design of unimodular sequences with real periodic correlation and complementary correlation. Electron Lett 52:319–321CrossRef
18.
Arriaga-Trejo IA, Orozco-Lugo AG et al (2016) Joint I/Q imbalances estimation using data-dependent superimposed training. SIViP 11:729–736CrossRef
19.
Arriaga-Trejo IA (2016) Construction of complementary sets of sequences with low aperiodic correlation and complementary correlation. Paper presented at the IEEE global conference on signal and information processing, Washington DC, December 2016, pp 85–89
20.
Arriaga-Trejo IA, Orozco-Lugo AG et al (2017) Design of unimodular sequences with good autocorrelation and good complementary autocorrelation properties. IEEE Signal Process Lett 24:1153–1157CrossRef
21.
Scharf LL (1990) Statistical signal processing. Addison-Wesley, Detection, Estimation and Time Series Analysis
22.
Frazier MW (1999) An introduction to wavelets through linear algebra. Springer, Berlin
23.
Song J, Babu P, Palomar D (2015) Optimization methods for designing sequences with low autocorrelation sidelobes. IEEE Trans Signal Process 63:3998–4009MathSciNetCrossRef
24.
Song J, Babu P, Palomar D (2016) Sequence design to minimize the weighted integrated and peak sidelobe levels. IEEE Trans Signal Process 64:2051–2064MathSciNetCrossRef
25.
Song J, Babu P, Palomar D (2016) Sequence set design with good correlation properties via majorization-minimization. IEEE Trans Signal Process 64:2866–2879MathSciNetCrossRef
26.
Li Y, Vorobyov SA, He Z (2016) Design of multiple unimodular waveforms with low auto- and cross-correlations for radar via majorization–minimization. Paper presented at the 24th european signal processing conference, Budapest, December 2016, pp 2235–2239
27.
Zhao L, Song J, Babu P et al (2017) A unified framework for low autocorrelation sequence design via majorization–minimization. IEEE Trans Signal Process 65:438–453MathSciNetCrossRef
Metadaten
Titel
Unimodular Sequences with Low Complementary Autocorrelation Properties
verfasst von
Israel Alejandro Arriaga-Trejo
Aldo Gustavo Orozco-Lugo
Copyright-Jahr
2018
Buch
Computer Science and Engineering—Theory and Applications

Print ISBN: 978-3-319-74059-1

Electronic ISBN: 978-3-319-74060-7

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-3-319-74060-7_14