NDLI: Set of uniquely decodable codes for overloaded synchronous CDMA

Content Provider	IET Digital Library
Author	Singh, Amiya Amini, Arash Singh, Poonam Marvasti, Farokh
Abstract	In this study, the authors consider the designing of a new set of uniquely decodable codes for uncoded synchronous overloaded code division multiple access for the number of codes exceeding the assigned code length. For the construction, the proposed recursive method at iteration-k generates a matrix that can be classified into k orthogonal subsets of different dimensions. Out of them, all besides the largest (binary Hadamard) one are ternary in nature. There resides an inbuilt twin tree structured cross-correlation hierarchy that facilitates an advantageous balance between the auto and intergroup cross-correlation for the signatures in a subset. This opportunity is further leveraged by the proposed multi-stage detector to maintain the uniquely decodable (errorless) nature of the matrices for noiseless transmission. The simple logic of matched filtering serving as the basic designing block of the decoder provides an enormous saving over the complexity of optimum maximum likelihood decoder. For the noisy channel, the authors derive the theoretical expression of the average bit error rate for the individual subset. Moreover, the authors explain the role of the two factors (cardinality of the subset, and net level of interference) in being responsible for the non-uniformity in the order of their error performance.
Starting Page	1236
Ending Page	1245
Page Count	10
ISSN	17518628
Volume Number	10
e-ISSN	17518636
Issue Number	Issue 10, Jul (2016)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-com/10/10
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-com.2015.0819
Journal	IET Communications
Publisher Date	2016-07-01
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Auto Cross-correlation Average Bit Error Rate Binary Hadamard Code Code Division Multiple Access Code Length Combinatorial Mathematics Correlation Method Electromagnetic Compatibility Error Statistics Filtering Method in Signal Processing Filtering Theory Interference Interference Net Level Intergroup Cross-correlation Interpolation And Function Approximation Iterative Method K Orthogonal Subsets Linear Algebra Matched Filter Matched Filtering Matrix Algebra Maximum Likelihood Decoding Multiple Access Communication Multistage Detector Noiseless Transmission Numerical Analysis Optimum Maximum Likelihood Decoder Overloaded Synchronous CDMA Radio Frequency Interference Radio Link And Equipment Recursive Method Set Theory Statistics Subset Cardinality Twin Tree Structured Cross-correlation Hierarchy Uncoded Synchronous Overloaded Code Division Multiple Access Uniquely Decodable Code
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering Computer Science Applications

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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
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