The Experts below are selected from a list of 6951 Experts worldwide ranked by ideXlab platform
Lajos Hanzo - One of the best experts on this subject based on the ideXlab platform.
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Semidefinite Programming Relaxation Based Virtually Antipodal Detection for MIMO Systems Using Gray-Coded High-Order QAM
IEEE Transactions on Vehicular Technology, 2013Co-Authors: Shaoshi Yang, Lajos HanzoAbstract:An efficient generalized semidefinite programming relaxation (SDPR) based virtually antipodal (VA) detection approach is proposed for Gray-coded high-order rectangular quadrature-amplitude modulation (QAM) signaling over multiple-input–multiple-output (MIMO) channels. The decomposition of symbol-based detection to a bit-based detection is desirable owing to its reduced complexity and increased flexibility. However, Gray-Mapping is nonlinear, hence the direct bit-based detection of Gray-coded-QAM MIMO systems constitutes a challenging problem. In this paper, we find a way to exploit the structural regularity of Gray-coded high-order rectangular QAM and to transform the classic symbol-based MIMO detection model to a low-complexity bit-based detection model. As an appealing benefit, the conventional three-step “signal-to-symbols-to-bits” decision process can be substituted by a simpler “signal-to-bits” decision process for the classic Gray-Mapping-aided high-order rectangular QAM; hence, any bit-based detection method becomes potentially applicable. As an application example, we propose a direct-bit-based VA-SDPR (DVA-SDPR) MIMO detector, which is capable of directly making binary decisions concerning the individual information bits of the ubiquitous Gray-Mapping-aided high-order rectangular QAM while dispensing with symbol-based detection. Furthermore, the proposed model transformation method facilitates the exploitation of the unequal error protection (UEP) property of high-order QAM with the aid of the low-complexity bit-flipping-based “hill climbing” method. As a result, the proposed DVA-SDPR detector achieves the best bit error ratio (BER) performance among the known SDPR-based MIMO detectors in the context considered, while still maintaining the lowest possible worst-case complexity order of $O[(N_{T}\log_{2}M + \hbox{1})^{3.5}]$ .
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unified bit based probabilistic data association aided mimo detection for high order qam constellations
IEEE Transactions on Vehicular Technology, 2011Co-Authors: Shaoshi Yang, Robert G Maunder, Lajos HanzoAbstract:A unified bit-based probabilistic data association (B-PDA) detection approach is proposed for multiple-input-multiple-output (MIMO) systems employing high-order rectangular quadrature amplitude modulation (QAM). The new approach transforms the symbol detection process of QAM to a bit-based process by introducing a unified matrix representation (UMR) of QAM. Both linear natural and nonlinear binary reflected Gray bit-to-symbol Mappings are considered. With the aid of simulation results, we demonstrate that the linear-natural-Mapping-based B-PDA approach typically attained an improved detection performance [measured in terms of both bit error ratio (BER) and symbol error ratio (SER)] in comparison with the conventional symbol-based probabilistic data association (PDA)-aided MIMO detector, despite its dramatically reduced computational complexity. The only exception is that, at low SNRs, the linear-natural-Mapping-based B-PDA is slightly inferior in terms of its BER to the conventional symbol-based PDA using binary reflected Gray Mapping. Furthermore, the simulation results show that the linear-natural-Mapping-based B-PDA MIMO detector may approach the best-case performance provided by the nonlinear binary reflected Gray-Mapping-based B-PDA MIMO detector under ideal conditions. Additionally, the implementation of the B-PDA MIMO detector is shown to be much simpler in the case of the linear natural Mapping. Based on these two points, we conclude that, in the context of the uncoded B-PDA MIMO detector, it is preferable to use the linear natural bit-to-symbol Mapping, rather than the nonlinear Gray Mapping.
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WCNC - Unified Bit-based Probabilistic Data Association aided MIMO detection for high-order QAM
2011 IEEE Wireless Communications and Networking Conference, 2011Co-Authors: Shaoshi Yang, Lajos HanzoAbstract:A unified Bit-based Probabilistic Data Association (B-PDA) detection approach is proposed for Multiple-Input Multiple-Output (MIMO) systems employing high-order Quadrature Amplitude Modulation (QAM). The new approach transforms the symbol detection process of QAM to a bit-based process by introducing a Unified Matrix Representation (UMR) of QAM. Both linear natural and nonlinear Gray bit-to-symbol Mapping schemes are considered. Our analytical and simulation results demonstrate that the linear natural Mapping based B-PDA approach attains an improved detection performance, despite dramatically reducing the computational complexity in contrast to the conventional symbol-based PDA aided MIMO detector. Furthermore, it is shown that the linear natural Mapping based B-PDA method is capable of approaching the lower bound performance provided by the nonlinear Gray Mapping based B-PDA MIMO detector. Since the linear natural Mapping based scheme is simpler and more applicable in practice than its nonlinear Gray Mapping based counterpart, we conclude that in the context of the uncoded B-PDA MIMO detector it is preferable to use the linear natural bit-to-symbol Mapping, rather than the nonlinear Gray Mapping.
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GLOBECOM - Semidefinite Programming Relaxation Based Virtually Antipodal Detection for Gray Coded 16-QAM MIMO Signalling
2011 IEEE Global Telecommunications Conference - GLOBECOM 2011, 2011Co-Authors: Shaoshi Yang, Lajos HanzoAbstract:An efficient semidefinite programming relaxation (SDPR) based virtually antipodal (VA) detection approach is proposed for Gray coded 16-QAM signalling over multiple-input--multiple-output (MIMO) channels. The existing index-bit-based VA-SDPR (IVA-SDPR) method is incapable of making direct binary decisions concerning the individual information bits without making symbol decisions first, except for the linear natural-Mapping aided rectangular QAM constellations. By contrast, our new method is capable of directly deciding on the information bits of the ubiquitous Gray-Mapping aided 16-QAM by employing a strikingly simple linear matrix representation (LMR) of 4-QAM. As an appealing benefit, the conventional ``signal-to-symbol-to-bits'' decision process is substituted by a simpler ``signal-to-bits'' decision process for the classic Gray-Mapping aided rectangular 16-QAM. Furthermore, when combined with low-complexity bit-flipping based ``hill climbing'', the proposed direct-bit-based VA-SDPR (DVA-SDPR) detector achieves the best bit-error-ratio (BER) performance among the known SDPR-based MIMO detectors in the context considered, while still maintaining a worst-case complexity order as low as O[(4N_T+1)^{3.5}].
Norifumi Kamiya - One of the best experts on this subject based on the ideXlab platform.
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performance of fde using partial ldpc coding with double Gray Mapping for single carrier los mimo
Vehicular Technology Conference, 2020Co-Authors: Kana Aono, Bin Zheng, Mamoru Sawahashi, Norifumi KamiyaAbstract:This paper presents the bit error rate (BER) performance of frequency domain equalization (FDE) using low-density parity-check (LDPC) coding for single-carrier line-of-sight (LOS)-multiple-input multiple-output (MIMO) multiplexing. We use partial LDPC coding with double Gray Mapping and collaborative decoding, which is suitable for a high coding rate such as 0.9. Computer simulation results show that partial LDPC coding decreases the required received signal-to-noise power ratio (SNR) at the bit error rate (BER) of $10^{-7}$ by approximately 1.0 dB compared to that for full LDPC coding for 256QAM in a Rummler fading channel. We show that the required received SNR at the BER of $10^{-7}$ using partial LDPC coding is decreased by more than 6.6 dB compared to that without LDPC coding even for the deep notch depth of -20dB regardless of the relationship between the notch frequencies in the direct and cross links for 2×2 LOS-MIMO in a Rummler fading channel. Therefore, we conclude that FDE using partial LDPC coding with double Gray Mapping and collaborative decoding is effective in achieving a low BER for single-carrier LOS-MIMO in microwave radio backhaul channels.
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VTC Spring - Performance of FDE Using Partial LDPC Coding with Double Gray Mapping for Single-Carrier LOS-MIMO
2020 IEEE 91st Vehicular Technology Conference (VTC2020-Spring), 2020Co-Authors: Kana Aono, Bin Zheng, Mamoru Sawahashi, Norifumi KamiyaAbstract:This paper presents the bit error rate (BER) performance of frequency domain equalization (FDE) using low-density parity-check (LDPC) coding for single-carrier line-of-sight (LOS)-multiple-input multiple-output (MIMO) multiplexing. We use partial LDPC coding with double Gray Mapping and collaborative decoding, which is suitable for a high coding rate such as 0.9. Computer simulation results show that partial LDPC coding decreases the required received signal-to-noise power ratio (SNR) at the bit error rate (BER) of $10^{-7}$ by approximately 1.0 dB compared to that for full LDPC coding for 256QAM in a Rummler fading channel. We show that the required received SNR at the BER of $10^{-7}$ using partial LDPC coding is decreased by more than 6.6 dB compared to that without LDPC coding even for the deep notch depth of -20dB regardless of the relationship between the notch frequencies in the direct and cross links for 2×2 LOS-MIMO in a Rummler fading channel. Therefore, we conclude that FDE using partial LDPC coding with double Gray Mapping and collaborative decoding is effective in achieving a low BER for single-carrier LOS-MIMO in microwave radio backhaul channels.
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WPMC - High-order circular QAM constellation with high LDPC coding rate for phase noise channels
2017 20th International Symposium on Wireless Personal Multimedia Communications (WPMC), 2017Co-Authors: Bin Zheng, Lianjun Deng, Mamoru Sawahashi, Norifumi KamiyaAbstract:This paper proposes a design for a high-order circular quadrature amplitude modulation (QAM) constellation using partial low-density parity-check (LDPC) coding associated with parallel double Gray Mapping aiming at the application to a microwave radio backhaul to deal with time-varying phase noise channels. In the proposed circular QAM constellation design, we first design the best constellation in which the same number of signal points is mapped to all concentric rings. Then, we decrease the number of signal points in the inner rings and remap the signal points to the newly added rings outside the original rings while maintaining high affinity to the double Gray Mapping feature. Computer simulation results show that partial LDPC coding with double Gray Mapping decreases the required received signal-to-noise power ratio (SNR) at the bit error rate (BER) of 10−6 by approximately 0.2 dB compared to full LDPC coding for a high LDPC coding rate such as 0.9. We also show that the proposed circular 1024QAM decreases the required received SNR at the average BER of 10−6 by approximately 0.5 dB compared to that for rectangular 1024QAM.
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performance of circular qam constellations using partial channel coding with parallel double Gray Mapping
Wireless Personal Multimedia Communications, 2016Co-Authors: Lianjun Deng, Bin Zheng, Mamoru Sawahashi, Norifumi KamiyaAbstract:This paper proposes a parallel double Gray Mapping scheme that is suited to circular quadrature amplitude modulation (QAM) constellations using partial channel coding associated with collaborative decoding. Using the proposed scheme, We compare the bit error rate (BER) performance of circular 1024QAM and 2048QAM schemes to that of rectangular 1024QAM and cross 2048QAM schemes, respectively. Computer simulation results show that the required received signal-to-noise power ratio at the BER of 10−5 for collaborative decoding is decreased by approximately 6.5 dB compared to that for independent decoding for partial turbo coding employing the parallel double Gray Mapping. We also show that circular 1024QAM exhibits greater robustness against time-varying phase noise than rectangular 1024QAM when using partial turbo coding with the parallel double Gray Mapping. We show however that rectangular 1024QAM provides slightly better BER performance compared to circular 1024QAM with parallel double Gray Mapping using collaborative decoding in an additive white Gaussian noise channel with time-varying phase noise.
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WPMC - Performance of circular QAM constellations using partial channel coding with parallel double Gray Mapping
2016Co-Authors: Lianjun Deng, Bin Zheng, Mamoru Sawahashi, Norifumi KamiyaAbstract:This paper proposes a parallel double Gray Mapping scheme that is suited to circular quadrature amplitude modulation (QAM) constellations using partial channel coding associated with collaborative decoding. Using the proposed scheme, We compare the bit error rate (BER) performance of circular 1024QAM and 2048QAM schemes to that of rectangular 1024QAM and cross 2048QAM schemes, respectively. Computer simulation results show that the required received signal-to-noise power ratio at the BER of 10−5 for collaborative decoding is decreased by approximately 6.5 dB compared to that for independent decoding for partial turbo coding employing the parallel double Gray Mapping. We also show that circular 1024QAM exhibits greater robustness against time-varying phase noise than rectangular 1024QAM when using partial turbo coding with the parallel double Gray Mapping. We show however that rectangular 1024QAM provides slightly better BER performance compared to circular 1024QAM with parallel double Gray Mapping using collaborative decoding in an additive white Gaussian noise channel with time-varying phase noise.
Kana Aono - One of the best experts on this subject based on the ideXlab platform.
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performance of fde using partial ldpc coding with double Gray Mapping for single carrier los mimo
Vehicular Technology Conference, 2020Co-Authors: Kana Aono, Bin Zheng, Mamoru Sawahashi, Norifumi KamiyaAbstract:This paper presents the bit error rate (BER) performance of frequency domain equalization (FDE) using low-density parity-check (LDPC) coding for single-carrier line-of-sight (LOS)-multiple-input multiple-output (MIMO) multiplexing. We use partial LDPC coding with double Gray Mapping and collaborative decoding, which is suitable for a high coding rate such as 0.9. Computer simulation results show that partial LDPC coding decreases the required received signal-to-noise power ratio (SNR) at the bit error rate (BER) of $10^{-7}$ by approximately 1.0 dB compared to that for full LDPC coding for 256QAM in a Rummler fading channel. We show that the required received SNR at the BER of $10^{-7}$ using partial LDPC coding is decreased by more than 6.6 dB compared to that without LDPC coding even for the deep notch depth of -20dB regardless of the relationship between the notch frequencies in the direct and cross links for 2×2 LOS-MIMO in a Rummler fading channel. Therefore, we conclude that FDE using partial LDPC coding with double Gray Mapping and collaborative decoding is effective in achieving a low BER for single-carrier LOS-MIMO in microwave radio backhaul channels.
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VTC Spring - Performance of FDE Using Partial LDPC Coding with Double Gray Mapping for Single-Carrier LOS-MIMO
2020 IEEE 91st Vehicular Technology Conference (VTC2020-Spring), 2020Co-Authors: Kana Aono, Bin Zheng, Mamoru Sawahashi, Norifumi KamiyaAbstract:This paper presents the bit error rate (BER) performance of frequency domain equalization (FDE) using low-density parity-check (LDPC) coding for single-carrier line-of-sight (LOS)-multiple-input multiple-output (MIMO) multiplexing. We use partial LDPC coding with double Gray Mapping and collaborative decoding, which is suitable for a high coding rate such as 0.9. Computer simulation results show that partial LDPC coding decreases the required received signal-to-noise power ratio (SNR) at the bit error rate (BER) of $10^{-7}$ by approximately 1.0 dB compared to that for full LDPC coding for 256QAM in a Rummler fading channel. We show that the required received SNR at the BER of $10^{-7}$ using partial LDPC coding is decreased by more than 6.6 dB compared to that without LDPC coding even for the deep notch depth of -20dB regardless of the relationship between the notch frequencies in the direct and cross links for 2×2 LOS-MIMO in a Rummler fading channel. Therefore, we conclude that FDE using partial LDPC coding with double Gray Mapping and collaborative decoding is effective in achieving a low BER for single-carrier LOS-MIMO in microwave radio backhaul channels.
Shaoshi Yang - One of the best experts on this subject based on the ideXlab platform.
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Semidefinite Programming Relaxation Based Virtually Antipodal Detection for MIMO Systems Using Gray-Coded High-Order QAM
IEEE Transactions on Vehicular Technology, 2013Co-Authors: Shaoshi Yang, Lajos HanzoAbstract:An efficient generalized semidefinite programming relaxation (SDPR) based virtually antipodal (VA) detection approach is proposed for Gray-coded high-order rectangular quadrature-amplitude modulation (QAM) signaling over multiple-input–multiple-output (MIMO) channels. The decomposition of symbol-based detection to a bit-based detection is desirable owing to its reduced complexity and increased flexibility. However, Gray-Mapping is nonlinear, hence the direct bit-based detection of Gray-coded-QAM MIMO systems constitutes a challenging problem. In this paper, we find a way to exploit the structural regularity of Gray-coded high-order rectangular QAM and to transform the classic symbol-based MIMO detection model to a low-complexity bit-based detection model. As an appealing benefit, the conventional three-step “signal-to-symbols-to-bits” decision process can be substituted by a simpler “signal-to-bits” decision process for the classic Gray-Mapping-aided high-order rectangular QAM; hence, any bit-based detection method becomes potentially applicable. As an application example, we propose a direct-bit-based VA-SDPR (DVA-SDPR) MIMO detector, which is capable of directly making binary decisions concerning the individual information bits of the ubiquitous Gray-Mapping-aided high-order rectangular QAM while dispensing with symbol-based detection. Furthermore, the proposed model transformation method facilitates the exploitation of the unequal error protection (UEP) property of high-order QAM with the aid of the low-complexity bit-flipping-based “hill climbing” method. As a result, the proposed DVA-SDPR detector achieves the best bit error ratio (BER) performance among the known SDPR-based MIMO detectors in the context considered, while still maintaining the lowest possible worst-case complexity order of $O[(N_{T}\log_{2}M + \hbox{1})^{3.5}]$ .
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unified bit based probabilistic data association aided mimo detection for high order qam constellations
IEEE Transactions on Vehicular Technology, 2011Co-Authors: Shaoshi Yang, Robert G Maunder, Lajos HanzoAbstract:A unified bit-based probabilistic data association (B-PDA) detection approach is proposed for multiple-input-multiple-output (MIMO) systems employing high-order rectangular quadrature amplitude modulation (QAM). The new approach transforms the symbol detection process of QAM to a bit-based process by introducing a unified matrix representation (UMR) of QAM. Both linear natural and nonlinear binary reflected Gray bit-to-symbol Mappings are considered. With the aid of simulation results, we demonstrate that the linear-natural-Mapping-based B-PDA approach typically attained an improved detection performance [measured in terms of both bit error ratio (BER) and symbol error ratio (SER)] in comparison with the conventional symbol-based probabilistic data association (PDA)-aided MIMO detector, despite its dramatically reduced computational complexity. The only exception is that, at low SNRs, the linear-natural-Mapping-based B-PDA is slightly inferior in terms of its BER to the conventional symbol-based PDA using binary reflected Gray Mapping. Furthermore, the simulation results show that the linear-natural-Mapping-based B-PDA MIMO detector may approach the best-case performance provided by the nonlinear binary reflected Gray-Mapping-based B-PDA MIMO detector under ideal conditions. Additionally, the implementation of the B-PDA MIMO detector is shown to be much simpler in the case of the linear natural Mapping. Based on these two points, we conclude that, in the context of the uncoded B-PDA MIMO detector, it is preferable to use the linear natural bit-to-symbol Mapping, rather than the nonlinear Gray Mapping.
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WCNC - Unified Bit-based Probabilistic Data Association aided MIMO detection for high-order QAM
2011 IEEE Wireless Communications and Networking Conference, 2011Co-Authors: Shaoshi Yang, Lajos HanzoAbstract:A unified Bit-based Probabilistic Data Association (B-PDA) detection approach is proposed for Multiple-Input Multiple-Output (MIMO) systems employing high-order Quadrature Amplitude Modulation (QAM). The new approach transforms the symbol detection process of QAM to a bit-based process by introducing a Unified Matrix Representation (UMR) of QAM. Both linear natural and nonlinear Gray bit-to-symbol Mapping schemes are considered. Our analytical and simulation results demonstrate that the linear natural Mapping based B-PDA approach attains an improved detection performance, despite dramatically reducing the computational complexity in contrast to the conventional symbol-based PDA aided MIMO detector. Furthermore, it is shown that the linear natural Mapping based B-PDA method is capable of approaching the lower bound performance provided by the nonlinear Gray Mapping based B-PDA MIMO detector. Since the linear natural Mapping based scheme is simpler and more applicable in practice than its nonlinear Gray Mapping based counterpart, we conclude that in the context of the uncoded B-PDA MIMO detector it is preferable to use the linear natural bit-to-symbol Mapping, rather than the nonlinear Gray Mapping.
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GLOBECOM - Semidefinite Programming Relaxation Based Virtually Antipodal Detection for Gray Coded 16-QAM MIMO Signalling
2011 IEEE Global Telecommunications Conference - GLOBECOM 2011, 2011Co-Authors: Shaoshi Yang, Lajos HanzoAbstract:An efficient semidefinite programming relaxation (SDPR) based virtually antipodal (VA) detection approach is proposed for Gray coded 16-QAM signalling over multiple-input--multiple-output (MIMO) channels. The existing index-bit-based VA-SDPR (IVA-SDPR) method is incapable of making direct binary decisions concerning the individual information bits without making symbol decisions first, except for the linear natural-Mapping aided rectangular QAM constellations. By contrast, our new method is capable of directly deciding on the information bits of the ubiquitous Gray-Mapping aided 16-QAM by employing a strikingly simple linear matrix representation (LMR) of 4-QAM. As an appealing benefit, the conventional ``signal-to-symbol-to-bits'' decision process is substituted by a simpler ``signal-to-bits'' decision process for the classic Gray-Mapping aided rectangular 16-QAM. Furthermore, when combined with low-complexity bit-flipping based ``hill climbing'', the proposed direct-bit-based VA-SDPR (DVA-SDPR) detector achieves the best bit-error-ratio (BER) performance among the known SDPR-based MIMO detectors in the context considered, while still maintaining a worst-case complexity order as low as O[(4N_T+1)^{3.5}].
Sang-hyo Kim - One of the best experts on this subject based on the ideXlab platform.
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ISITA - On the linear complexity over F p of quaternary sequences from binary Sidel'nikov sequences
2012Co-Authors: Young-sik Kim, Jiwoong Jang, Sang-hyo KimAbstract:Recently, a quaternary sequence with optimal autocorrelation property is proposed by applying inverse Gray Mapping to a pair of binary Sidel'nikov sequences. This quaternary sequence has even period and the maximum nontrivial autocorrelation magnitude is R max = 2, which is optimal and is the first quaternary sequences having R max = 2 for N ≡ 0 mod 4. In this paper, we present a closed-form representation of the linear complexity of the quaternary sequences over F p for p ≥ 5.
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a construction of quaternary low correlation zone sequence sets from binary low correlation zone sequence sets improving optimality
IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, 2011Co-Authors: Jiwoong Jang, Sang-hyo Kim, Young-sik KimAbstract:In this letter, we propose a new construction of quaternary low correlation zone (LCZ) sequence set using binary LCZ sequence sets and an inverse Gray Mapping. The new construction method provides optimal quaternary LCZ sequence sets even if the employed binary LCZ sequence set is suboptimal. The optimality is improved at the price of alphabet extension.
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new construction methods of quaternary periodic complementary sequence sets
Advances in Mathematics of Communications, 2010Co-Authors: Jiwoong Jang, Sang-hyo Kim, Young-sik Kim, Dae-woon LimAbstract:In this paper, two new construction methods of quaternary periodic complementary sequence (PCS) sets are proposed using a binary PCS set with even period. The proposed methods apply the Gray Mapping to a binary PCS set. The only necessary condition to apply the proposed methods is that the employed binary PCS set should have an even period.
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Sequences with good correlation property using Gray Mapping
IEEE Information Theory Workshop 2010 (ITW 2010), 2010Co-Authors: Jiwoong Jang, Sang-hyo Kim, Young-sik Kim, Dae-woon LimAbstract:This paper provides two construction methods of sequence using the Gray Mapping. In the first method, a quaternary sequence with R max = 2 for N ≡ 2 (mod 4) which is the same as the best known Rmax, is proposed. The sequence is constructed by the Gray Mapping of a binary sequence with even period and its half-period shift. The resulting quaternary sequence has the same autocorrelation distribution with that of the employed binary sequence. From binary sequences with optimal autocorrelation for even period such as Sidel'nikov sequences, Ding-Helleseth-Martinsen (DHM) sequences, and sequences from the images of polynomials, etc., we can construct quaternary sequences with R max = 2 for period N ≡ 2 (mod 4) and R max = 4 for period N ≡ 4 (mod 4). In constrast to the previous quaternary sequences separately designed, new quaternary sequences are constructed from many existing binary sequences with optimal autocorrelation. In the second construction, optimal quaternary LCZ sequence sets are derived from binary LCZ sequence sets which are not necessarily optimal. To the best of our knowledge, it is the first result to obtain an optimal LCZ sequence set from a non-optimal LCZ sequence set, while there are constructions to obtain LCZ sequence sets from another LCZ sequence set. Moreover, since the parameters of new quaternary LCZ sequence set in the second method are determined by the parameters of the binary LCZ sequence set, it is possible to obtain flexible quaternary LCZ sequence sets by using flexible binary LCZ sequence sets.
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Quaternary Sequences with Good Autocorrelation Constructed by Gray Mapping
IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, 2009Co-Authors: Jiwoong Jang, Sang-hyo KimAbstract:A quaternary sequence is constructed by Gray Mapping of a binary sequence with even period and its shift. The autocorrelation of the new quaternary sequence is the same as that of the binary sequence employed. Quaternary sequences with the maximum autocorrelation 2 can be obtained by the construction for period N ≡ 2 (mod 4).