On the error probability of quasi‐orthogonal space–time block codes

Yang, Janghoon; Jin, Xianglan; No, Jong-Seon; Shin, Dong-Joon

doi:10.1002/dac.936

Cited by 6 publications

(14 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…QOSTBCs have been introduced in as new subclass of LD‐STBCs which keeps full rate but reduces diversity. Indeed, the QOSTBC has higher computational complexity than OSTBC . The following example gives the encoding matrix of a QOSTBC for four transmit antennas:

S = ((), \begin{array}{c} center & x_{1} & x_{2} & x_{3} & x_{4} \\ center & - x_{2}^{*} & x_{1}^{*} & - x_{4}^{*} & x_{3}^{*} \\ center & - x_{3}^{*} & - x_{4}^{*} & x_{1}^{*} & x_{2}^{*} \\ center & x_{4} & - x_{3} & - x_{2} & x_{1} \end{array})

and its dispersion matrices are given by:

\begin{matrix} left \\ A_{1} = [\begin{matrix} center \\ center 1 & center 0 & center 0 & center 0 \\ center 0 & center 0 & center 0 & center 0 \\ center 0 & center 0 & center 0 & center 0 \\ center 0 & center 0 & center 0 & center 1 \end{matrix}], A_{2} = [\begin{matrix} center \\ center 0 & center 1 & center 0 & center 0 \\ center 0 & center 0 & center 0 & center 0 \\ center 0 & center 0 & center 0 & center 0 \\ center 0 & center 0 & center - 1 & center 0 \end{matrix}], A_{3} = [\begin{matrix} center \\ center 0 & center 0 & center 1 & center 0 \\ center 0 & center 0 & center 0 & center 0 \\ center 0 & center 0 & center 0 & center 0 \\ center 0 \end{matrix}] \end{matrix}

…”

Section: Overview Of Ld‐stbcsmentioning

confidence: 99%

“…Equations (28), (30), (31), and (32) into (26) give the WLMMSE channel estimator in the general case which suppose that the transmitted signals are selected from improper constellation.…”

Section: Wlmmse Channel Estimationmentioning

confidence: 99%

“…Second case: proper signal constellation As a particular case, if the transmitted signals are selected from proper constellation (i.e. γ 2 X m ¼ 0), the equations (28), (30), (31), and (32) become…”

Section: Wlmmse Channel Estimationmentioning

confidence: 99%

See 2 more Smart Citations

Widely linear channel estimation for LD‐STBC MB‐OFDM UWB systems

Hajjaj

Chainbi

Bouallègue

2016

Int J Communication

View full text Add to dashboard Cite

Summary The combination of Linear Dispersion Space‐Time Block Codes (LD‐STBCs) and Multiband Orthogonal Frequency Division Multiplexing Ultra‐WideBand (MB‐OFDM UWB) technologies has been proposed in the literature to improve the error performance and data rate. Recently, it has been shown that the LD codes allow the repetitions of data symbols conjugates. They cause a transformation of the Multiple‐Input Multiple‐Output (MIMO) channel that requires a Widely Linear (WL) filtering. However, proposed LD‐STBC MB‐OFDM UWB system does not take this issue into account. In this paper, we propose a Widely Linear Minimum Mean Square Error (WLMMSE) channel estimator for LD‐STBC MB‐OFDM UWB systems. The proposed channel estimator proceeds to WL estimation instead of linear one. Via simulation results, we prove that the LD‐STBCs provide significant performance gain for MB‐OFDM UWB system compared to Single‐Input Single‐Output (SISO) configuration. We show also that the proposed WLMMSE channel estimator outperforms the LMMSE one. This performance improvement is observed for both proper and improper signal constellations. Additionally, the computational complexity of our proposal is comparable with that of LMMSE estimator. Copyright © 2016 John Wiley & Sons, Ltd.

show abstract

S = ((), \begin{array}{c} center & x_{1} & x_{2} & x_{3} & x_{4} \\ center & - x_{2}^{*} & x_{1}^{*} & - x_{4}^{*} & x_{3}^{*} \\ center & - x_{3}^{*} & - x_{4}^{*} & x_{1}^{*} & x_{2}^{*} \\ center & x_{4} & - x_{3} & - x_{2} & x_{1} \end{array})

and its dispersion matrices are given by:

\begin{matrix} left \\ A_{1} = [\begin{matrix} center \\ center 1 & center 0 & center 0 & center 0 \\ center 0 & center 0 & center 0 & center 0 \\ center 0 & center 0 & center 0 & center 0 \\ center 0 & center 0 & center 0 & center 1 \end{matrix}], A_{2} = [\begin{matrix} center \\ center 0 & center 1 & center 0 & center 0 \\ center 0 & center 0 & center 0 & center 0 \\ center 0 & center 0 & center 0 & center 0 \\ center 0 & center 0 & center - 1 & center 0 \end{matrix}], A_{3} = [\begin{matrix} center \\ center 0 & center 0 & center 1 & center 0 \\ center 0 & center 0 & center 0 & center 0 \\ center 0 & center 0 & center 0 & center 0 \\ center 0 \end{matrix}] \end{matrix}

…”

Section: Overview Of Ld‐stbcsmentioning

confidence: 99%

“…Equations (28), (30), (31), and (32) into (26) give the WLMMSE channel estimator in the general case which suppose that the transmitted signals are selected from improper constellation.…”

Section: Wlmmse Channel Estimationmentioning

confidence: 99%

See 1 more Smart Citation

Widely linear channel estimation for LD‐STBC MB‐OFDM UWB systems

Hajjaj

Chainbi

Bouallègue

2016

Int J Communication

View full text Add to dashboard Cite

show abstract

“…Recently, a type of space-time coding which combines transmit diversity with coding schemes has been proposed to mitigate the Rayleigh fading effects. STBC systems with more than two transmit antennas were studied in [7][8][9][10]. Later, Alamouti [5] presented the space-time block code (STBC) scheme which equips two antennas with space-time coding at the transmitter and intelligent signal processing at the receiver.…”

Section: Introductionmentioning

confidence: 99%

“…The orthogonal structure of STBC was developed in [6]. STBC systems with more than two transmit antennas were studied in [7][8][9][10].The application of STBC schemes to MC-CDMA systems was presented in [11]. Their study demonstrated that space-time coded MC-CDMA systems gain significant profit in transmit diversity in a multipath fading channel.…”

mentioning

confidence: 99%

MC‐CDMA MIMO systems with quasi‐orthogonal space–time block codes: Channel estimation and multiuser detection

Lee

2011

Int J Communication

View full text Add to dashboard Cite

This paper investigates blind channel estimation and multiuser detection for quasi-synchronous multicarrier code-division multiple-access (MC-CDMA) multiple-input multiple-output (MIMO) systems with quasi-orthogonal space-time block codes (QO-STBC). Subspace-based blind channel estimation is proposed by considering a QO-STBC scheme that involves four transmit antennas and multiple receive antennas. Based on the first-order perturbation theory, the mean square error of the channel estimation is derived. With the estimated channel coefficients, we employ minimum output energy and eigenspace receivers for symbol detection. Using the QO-STBC coding property, the weight analyses are performed to reduce the computational complexity of the system. In addition, the forward-backward averaging technique is presented to enhance the performance of multiuser detection. Numerical simulations are given to demonstrate the superiority of the proposed channel estimation methods and symbol detection techniques. . His current research interests include MIMO-OFDM systems, signal processing in CDMA systems, space-time signal processing and blind signal separation. Taipei, Taiwan, Republic of China, in 1984. He received the BS from DAYEH University in 2006 and the MS degrees from FU JEN CATHOLIC University in 2009 both in Electrical Engineering. His research interests include Multi-Carrier Code Division Multiple Access (MC-CDMA) system, space-time MIMO communications and multi-user detection. , he served in the Taiwan Army. Since then, he has been employed with Qisda Corporation as an RD engineer in the monitor business unit. His research interests include channel estimation and receiver design for wireless communication, including MIMO, OFDM, CDMA, and STBC systems. Chun-Hsien Wu was born in

show abstract

Exact and asymptotic PEP derivations for various quasi‐orthogonal space–time block codes

2013

View full text Add to dashboard Cite

Insightful closed-form formulas for the exact pairwise error probability (PEP) of quasi-orthogonal space-time block codes in Rayleigh fading channels are presented. In addition, simple asymptotic expressions are proposed, from which the achievable asymptotic diversity orders are easily determined in the high signal-to-noise ratio regime. Finally, comparing analytical and simulation results, the accuracy of the derived analytical formulas is validated.

show abstract

On the error probability of quasi‐orthogonal space–time block codes

Cited by 6 publications

References 18 publications

Widely linear channel estimation for LD‐STBC MB‐OFDM UWB systems

Widely linear channel estimation for LD‐STBC MB‐OFDM UWB systems

MC‐CDMA MIMO systems with quasi‐orthogonal space–time block codes: Channel estimation and multiuser detection

Exact and asymptotic PEP derivations for various quasi‐orthogonal space–time block codes

Contact Info

Product

Resources

About