New Complex Orthogonal Space-Time Block Codes of Order Eight

Seberry, Jennifer; Tran, Le Chung; Wang, Yejing; Wysocki, Beata J.; Wysocki, Tadeusz A.; Xia, Tianbing; Zhao, Ying

doi:10.1007/0-387-22928-0_14

Cited by 6 publications

(15 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Also in [8], [9], [10] another rate 1/2, 8 antenna code with no zero entry given by (3) shown at the top of the next page has been reported. In this paper, we provide a general procedure to construct SCODs with fewer number of zeros compared to other known constructions for any power of two number antennas.…”

Section: Introductionmentioning

confidence: 99%

Square Complex Orthogonal Designs with Low PAPR

Das

Rajan

2007

2007 IEEE International Symposium on Information Theory

View full text Add to dashboard Cite

Abstract-Space-Time Block Codes from square complex orthogonal designs (SCOD) have been extensively studied and most of the existing SCODs contain large number of zero resulting in high peak to average of power ratio (PAPR) and also impose a severe constraint on hardware implementation of the code when turning off some of the transmitting antennas whenever a zero is transmitted. Recently, maximal-rate SCODs with no zero entry have been reported for 8 transmit antennas, constructed using Amicable Orthogonal Designs. In this paper, maximal-rate SCODs with no zero entry for 2 a transmit antennas whenever a+1 is a power of 2 are constructed which includes the 8 transmit antennas case as a special case. More generally, for arbitrary values of a, explicit construction of 2 a × 2 a maximal-rate SCODs with the fraction of number of zero entries to the total number of entries equal to 1 − a+1 2 a 2 log 2 ( 2 a a+1 ) is reported. Moreover, it is shown that these codes are obtainable by premultiplying the well known SCODs with appropriate scaled unitary matrices consisting of nonzero entries that are ±1 only. A procedure to compute these scaled unitary matrices is also presented.

show abstract

Section: Introductionmentioning

confidence: 99%

Square Complex Orthogonal Designs with Low PAPR

Das

Rajan

2007

2007 IEEE International Symposium on Information Theory

View full text Add to dashboard Cite

show abstract

“…The background knowledge on AODs can be found in [12]. Later, in [1] and [13], we constructed a square, order CO STBC without any zero, which is given in (6), shown at the bottom of the page, where . As pointed out in [1] and [13], the entries of are composed of the real part of one indeterminate and the imaginary part of another indeterminate, e.g., .…”

mentioning

confidence: 99%

“…Later, in [1] and [13], we constructed a square, order CO STBC without any zero, which is given in (6), shown at the bottom of the page, where . As pointed out in [1] and [13], the entries of are composed of the real part of one indeterminate and the imaginary part of another indeterminate, e.g., . This observation means that if the indeterminates are chosen from the complex signal constellations where or can be equal to zero, e.g., the QPSK constellation then, some of the entries of the matrix can be equal to zero depending on the transmitted data.…”

mentioning

confidence: 99%

Novel Constructions of Improved Square Complex Orthogonal Designs for Eight Transmit Antennas

Tran

Wysocki

Seberry

et al. 2009

IEEE Trans. Inform. Theory

Self Cite

View full text Add to dashboard Cite

Constructions of square, maximum rate complex orthogonal space-time block codes (CO STBCs) are well known, however codes constructed via the known methods include numerous zeros, which impede their practical implementation. By modifying the Williamson and Wallis-Whiteman arrays to apply to complex matrices, we propose two methods of construction of square, order-4n CO STBCs from square, order-n codes which satisfy certain properties. Applying the proposed methods, we construct square, maximum rate, order-8 CO STBCs with no zeros, such that the transmitted symbols are equally dispersed through transmit antennas. Those codes, referred to as the improved square CO STBCs, have the advantages that the power is equally transmitted via each transmit antenna during every symbol time slot and that a lower peak-to-average power ratio (PAPR) is required to achieve the same bit error rates as the conventional CO STBCs with zeros. Abstract-Constructions of square, maximum rate complex orthogonal space-time block codes (CO STBCs) are well known, however codes constructed via the known methods include numerous zeros, which impede their practical implementation. By modifying the Williamson and Wallis-Whiteman arrays to apply to complex matrices, we propose two methods of construction of square, order-4n CO STBCs from square, order-n codes which satisfy certain properties. Applying the proposed methods, we construct square, maximum rate, order-8 CO STBCs with no zeros, such that the transmitted symbols are equally dispersed through transmit antennas. Those codes, referred to as the improved square CO STBCs, have the advantages that the power is equally transmitted via each transmit antenna during every symbol time slot and that a lower peak-to-average power ratio (PAPR) is required to achieve the same bit error rates as the conventional CO STBCs with zeros.Index Terms-Amicable orthogonal designs (AOD), Complex orthogonal space-time block codes (CO STBCs), multiple-input multiple-output (MIMO), orthogonal design, peak-to-average power ratio (PAPR), space-time block code (STBC).

show abstract

“…The rectangular CO STBC that achieves the maximum rate 5/8 requires the length of 112 symbol time slots. The [112, 8,70] CO STBC given in Appendix E in Liang's paper [2] is an example for this case. As opposite to rectangular CO STBCs, square CO STBCs only require the length of 8 symbol time slots to achieve the maximum rate 1/2, which is slightly smaller than the maximum rate of rectangular CO STBCs.…”

Section: Introductionmentioning

confidence: 99%

“…In [7], we constructed two square, order 8 CO STBCs with fewer zeros than the conventional codes [2], [5]. Later, in [8] and [9], we constructed a square, order 8 CO STBC Z without any zero which is given in (3).…”

Section: Introductionmentioning

confidence: 99%

Generalized Williamson and Wallis-Whiteman Constructions for Improved Square Order-8 CO STBCs

Tran

Wysocki

Seberry

et al.

2005 IEEE 16th International Symposium on Personal, Indoor and Mobile Radio Communications

View full text Add to dashboard Cite

Abstract-Constructions of square, maximum rate Complex Orthogonal Space-Time Block Codes (CO STBCs) are well known, however codes constructed via the known methods include numerous zeros, which impede their practical implementation. By modifying the Williamson and Wallis-Whiteman arrays to apply to complex matrices, we propose two methods of construction of square, order-4n CO STBCs from square, ordern codes which satisfy certain properties. Applying the proposed methods, we construct square, maximum rate, order-8 CO STBCs with no zeros, such that the transmitted symbols equally disperse through transmit antennas. Those codes, referred to as the improved square CO STBCs, have the advantages that the power is equally transmitted via each transmit antenna during every symbol time slot and that a lower peak-to-mean power ratio per each antenna is required to achieve the same bit error rates as for the conventional CO STBCs with zeros.

show abstract

New Complex Orthogonal Space-Time Block Codes of Order Eight

Cited by 6 publications

References 6 publications

Square Complex Orthogonal Designs with Low PAPR

Square Complex Orthogonal Designs with Low PAPR

Novel Constructions of Improved Square Complex Orthogonal Designs for Eight Transmit Antennas

Generalized Williamson and Wallis-Whiteman Constructions for Improved Square Order-8 CO STBCs

Contact Info

Product

Resources

About