Abstract:Space-time coding (STC) schemes for Multiple Input Multiple Output (MIMO) systems have been an area of active research in the past decade. In this thesis, we propose a novel design of Space-Time Block Codes (STBCs) using Redundant Residue Number System (RRNS) codes, which are ideal for high data rate communication systems. Application of RRNS as a concatenated STC scheme to a MIMO wireless communication system is the main motivation for this work. We have optimized the link between residues and complex constel… Show more
“…The mapping "modulation" of non-binary information symbols to complex constellations for transmission over wireless channels is performed in two methods; direct and indirect mapping schemes [10].…”
Section: Direct and Indirect Mapping Schemesmentioning
This paper evaluates the Bit Error Rate (BER) performance of MIMO communication system using Residue Number System (RNS). The basic idea behind the proposed scheme is to make use of the independent parallel feature of RNS and reduced signal amplitude to covert the input signal into parallel smaller residue signals that have a smaller dynamic range. This approach would reduce the channel distortions and thus improves the received signal-to-noise ratio. The Peak-to-Average Power Ratio (PAPR) is measured with and without using RNS in the multi-transmission system.
“…The mapping "modulation" of non-binary information symbols to complex constellations for transmission over wireless channels is performed in two methods; direct and indirect mapping schemes [10].…”
Section: Direct and Indirect Mapping Schemesmentioning
This paper evaluates the Bit Error Rate (BER) performance of MIMO communication system using Residue Number System (RNS). The basic idea behind the proposed scheme is to make use of the independent parallel feature of RNS and reduced signal amplitude to covert the input signal into parallel smaller residue signals that have a smaller dynamic range. This approach would reduce the channel distortions and thus improves the received signal-to-noise ratio. The Peak-to-Average Power Ratio (PAPR) is measured with and without using RNS in the multi-transmission system.
In this paper, we deal with the critical problem of performing non-modular operations in the Residue Number System (RNS). The Chinese Remainder Theorem (CRT) is widely used in many modern computer applications. Throughout the article, an efficient approach for implementing the CRT algorithm is described. The structure of the rank of an RNS number, a principal positional characteristic of the residue code, is investigated. It is shown that the rank of a number can be represented by a sum of an inexact rank and a two-valued correction to it. We propose a new variant of minimally redundant RNS, which provides low computational complexity for the rank calculation, and its effectiveness analyzed concerning conventional non-redundant RNS. Owing to the extension of the residue code, by adding the excess residue modulo 2, the complexity of the rank calculation goes down from $O\left (k^{2}\right )$
O
k
2
to $O\left (k\right )$
O
k
with respect to required modular addition operations and lookup tables, where k equals the number of non-redundant RNS moduli.
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