NDLI: Low-Delay, High-Rate Nonsquare Complex Orthogonal Designs

Content Provider	IEEE Xplore Digital Library
Author	Das, S. Rajan, B.S.
Copyright Year	1963
Abstract	The maximal rate of a nonsquare complex orthogonal design for n transmit antennas is [1/2]+[1/(n)] if n is even and [1/2]+[1/(n+1)] if n is odd and the codes have been constructed for all n by Liang (2003) and Lu (2005) to achieve this rate. A lower bound on the decoding delay of maximal-rate complex orthogonal designs has been obtained by Adams (2007) and it is observed that Liang's construction achieves the bound on delay for n equal to 1 and 3 modulo 4 while Lu et al.'s construction achieves the bound for n=0 , 1, 3 mod 4. For n=2 mod 4, Adams (2010) have shown that the minimal decoding delay is twice the lower bound, in which case, both Liang's and Lu et al.'s construction achieve the minimum decoding delay. For large value of n , it is observed that the rate is close to half and the decoding delay is very large. A class of rate-[1/2] codes with low decoding delay for all n has been constructed by Tarokh (1999). In this paper, another class of rate-[1/2] codes is constructed for all n in which case the decoding delay is half the decoding delay of the rate-[1/2] codes given by Tarokh This is achieved by giving first a general construction of square real orthogonal designs which includes as special cases the well-known constructions of Adams, Lax, and Phillips and the construction of Geramita and Pullman, and then making use of it to obtain the desired rate-[1/2] codes. For the case of nine transmit antennas, the proposed rate-[1/2] code is shown to be of minimal delay. The proposed construction results in designs with zero entries which may have high peak-to-average power ratio and it is shown that by appropriate postmultiplication, a design with no zero entry can be obtained with no change in the code parameters.
Sponsorship	IEEE Information Theory Society
Starting Page	2633
Ending Page	2647
Page Count	15
File Size	403465
File Format	PDF
ISSN	00189448
Volume Number	58
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-05-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Delay Decoding Transmitting antennas Vectors Peak to average power ratio MIMO space–time codes Decoding delay orthogonal designs (ODs) peak-to-average power ratio (PAPR)
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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

A novel construction of complex orthogonal designs with maximal rate and low-PAPR

Low PAPR STBCs from Complex Partial-Orthogonal Designs (CPODs)

Square complex orthogonal designs with low PAPR and signaling complexity

Novel Classes of Minimal Delay and Low PAPR Rate ${1over 2}$ Complex Orthogonal Designs

Low PAPR square STBCs from complex partial-orthogonal designs (CPODs)

Square Complex Orthogonal Designs with Low PAPR

Orthogonal Designs and a Cubic Binary Function

The Final Case of the Decoding Delay Problem for Maximum Rate Complex Orthogonal Designs

Low-Delay, High-Rate Nonsquare Complex Orthogonal Designs

Similar Documents

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

A novel construction of complex orthogonal designs with maximal rate and low-PAPR

Low PAPR STBCs from Complex Partial-Orthogonal Designs (CPODs)

Square complex orthogonal designs with low PAPR and signaling complexity

Novel Classes of Minimal Delay and Low PAPR Rate ${1over 2}$ Complex Orthogonal Designs

Low PAPR square STBCs from complex partial-orthogonal designs (CPODs)

Square Complex Orthogonal Designs with Low PAPR

Orthogonal Designs and a Cubic Binary Function

The Final Case of the Decoding Delay Problem for Maximum Rate Complex Orthogonal Designs

Low-Delay, High-Rate Nonsquare Complex Orthogonal Designs