PROJECT TITLE :

$m$ -ary Balanced Codes With Parallel Decoding

ABSTRACT:

An $m$ -ary block code, $m=2,3,4,ldots $ , of length $n !in ! {mathbf{I}}!{mathbf{I}}mskip -7mu{mathbf{N}} $ is called balanced if, and only if, every codeword is balanced; that is, the real sum of the codeword components, or weight, is equal to $ left lfloor{ (m-1)n/2 }right rfloor $ . This paper presents efficient encoding schemes to $m$ -ary balanced codes with parallel (hence, fast) decoding. In fact, the decoding time complexity is $O(1)$ digit operations. These schemes are a generalization to the $m$ -ary alphabet of Knuth’s complementation method with parallel decoding. Let $binom{n}{ w}_{m}$ indicate the number of $m$ -ary words of length $n$ and weight $w !in !{0,1,ldots ,(m-1)n}$ . For any $m !in ! {mathbf{I}}!{mathbf{I}}mskip -7mu{mathbf{N}} $ , $mgeq 2$ , a simple implementation of the method is given which uses $r !in ! {mathbf{I}}!{mathbf{I}}mskip -7mu{mathbf{N}} $ check digits to balance $kleq {binom{{r}}{ { left lfloor{ (m-1)r/2 }right rfloor }}_{vphantom {R_{R_{}}}m}-{mbmod {2}+[(m-1)k]bmod 2}}/(m-1)$ information digits with an encoding time complexity of $O(mklog _{m}k)$ digit operations. A refined implementation of the parallel decoding method is also given with $r$ check digits and $kleq (m^{r}-1)/(m-1)$ information digits, where the encoding time complexity is $O(ksqrt {log _{m}k})$ . Thus, the proposed codes are less redundant than the $m$ -ary balanced codes with parallel decoding found in the literature and yet maintain the same complexity.


Did you like this research project?

To get this research project Guidelines, Training and Code... Click Here


PROJECT TITLE :A Simplified Implementation Method of $M$ th-Power for Frequency Offset EstimationABSTRACT:A simplified implementation method of th-power is investigated in this letter. Before frequency offset estimation (FOE),
PROJECT TITLE :Bayesian $M$ -Ary Hypothesis Testing: The Meta-Converse and Verdú-Han Bounds Are TightABSTRACT:Two various precise characterizations of the minimum error likelihood of Bayesian -ary hypothesis testing are derived.
PROJECT TITLE :Maximal Ratio Transmission in AF MIMO Relay Systems Over Nakagami- $m$ Fading ChannelsABSTRACT:During this paper, amplify-and-forward (AF)-based mostly cooperation in a multiple-antenna-based wireless communication
PROJECT TITLE :SEP of Decode-and-Forward Cooperative Systems With Relay Selection in Nakagami- $m$ Fading ChannelsABSTRACT:The precise average bit error likelihood (BEP) of decode-and-forward (DF) cooperative systems with relay
PROJECT TITLE :Capacity Analysis of Opportunistic Scheduling in Nakagami- $m$ Fading EnvironmentsABSTRACT:The wireless medium encompasses a time-varying feature due to fading, and individual users experience totally different

Ready to Complete Your Academic MTech Project Work In Affordable Price ?

Project Enquiry