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Wireless Personal Communications
Erschienen in: Wireless Personal Communications 2/2014

01.09.2014

Differential Space-Time Modulation Using DAPSK Over Rician Fading Channels

verfasst von: Chi-Hua Huang, Char-Dir Chung

Erschienen in: Wireless Personal Communications | Ausgabe 2/2014

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Abstract

This paper studies differential space-time modulation using diversity-encoded differential amplitude and phase shift keying (DAPSK) for the multiple-input multiple-output (MIMO) system over independent but not identically distributed (inid) time-correlated Rician fading channels. An asymptotic maximum likelihood (AML) receiver is developed for differentially detecting diversity-encoded DAPSK symbol signals by operating on two consecutive received symbol blocks sequentially. Based on Beaulieu’s convergent series, the bit error probability (BEP) upper bound is analyzed for the AML receiver over inid time-correlated Rician fading channels. Particularly, an approximate BEP upper bound of the AML receiver is also derived for inid time-invariant Rayleigh fading channels with large received signal-to-noise power ratios. By virtue of this approximate bound, a design criterion is developed to determine the appropriate diversity encoding coefficients for the proposed DAPSK MIMO system. Numerical and simulation results show that the AML receiver for diversity-encoded DAPSK is nearly optimum when the average received signal-to-noise power ratios are high and the channel is heavily correlated fading and can provide better error performance than conventional noncoherent MIMO systems when the effect of non-ideal transmit power amplification is taken into account.
Vorheriger Artikel A New Compact Microstrip Integrated E-Array Patch Antenna with High Gain and High Aperture Efficiency
Nächster Artikel Joint Channel Allocation and Power Control Optimal Algorithm Based on Non-cooperative Game in Wireless Sensor Networks

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Fußnoten
1
Notably, all entries of the transmitted symbol matrix for DUSTM using APSK-based OSTCC take value in irregular symbol constellations. However, its PAPR value is fixed by 3 dB [16].
 
2
As indicated in [23], the error performance of DAPSK is highly sensitive to the amplitude ring ratio \(\mu \) in single-input multiple-output antenna systems, especially when the number of amplitude rings is large. This amplitude ring ratio parameter will be optimized in Sect. 4 through minimizing the BEP upper bound developed therein.
 
3
The rows of Walsh Hadamard and discrete Fourier transform matrices can be used as the dispersion vectors in the paper.
 
4
When \(\mathcal {S}\) is given, \(|x_{k}^{(i-1)}|\) and \( d_{k}=x_{k}^{(i)}/x_{k}^{(i-1)}\) that are required in the following analysis are, respectively given by \(|x_{k}^{(i-1)}|\, =\lambda \mu ^{(\beta _{k}^{(a)}a^{(i-1)}+a_{k}^{(0)})_{N}}\) and \(d_{k}=\mu ^{(\beta _{k}^{(a)}(a^{(i-1)}+\varDelta a)_{N}+a_{k}^{(0)})_{N}-(\beta _{k}^{(a)}a^{(i-1)}+a_{k}^{(0)})_{N}}\exp \{\frac{j2\pi \beta _{k}^{(p)}\varDelta b}{M}\}\) provided with predetermined \(\beta _{k}^{(a)},\, \beta _{k}^{(p)}\), and \(a_{k}^{(0)}\) for \(k\in \mathcal {Z}_{L_{t}}^{+}\).
 
5
As shown in (11), \(|d_{k}|\, =\mu ^{(\beta _{k}^{(a)}(a^{(i-1)}+\varDelta a)_{N}+a_{k}^{(0)})_{N}-(\beta _{k}^{(a)}a^{(i-1)}+a_{k}^{(0)})_{N}}\) takes the form \(\mu ^{0}\) when \( \varDelta a=0\). When \(\varDelta a\ne 0\), it takes the form \(\mu ^{(\beta _{k}^{(a)}\varDelta a)_{N}}\) if \(|d_{k}|\, >1\) and \(\mu ^{(\beta _{k}^{(a)}\varDelta a)_{N}-N}\) if \(|d_{k}|\, <1\).
 
6
For conventional DNUSTM and DUSTM techniques, each data symbol is differentially encoded into two adjacently transmitted \(L_{t}\times L_{t}\) matrices and each transmitted matrix is emitted every \(L_{t}T_{s}\) seconds. Because \(L_{t}\) encoded symbols are transmitted at each antenna in each \( L_{t}T_{s}\) seconds, all the existing techniques operating at a rate of \(R\) bits per transmit antenna per \(L_{t}T_{s}\) provide a bandwidth efficiency of \(R\) bits\(/\)sec\(/\)channel use.
 
7
In the following, the initial transmitted symbol matrices used for all compared DNUSTM and DUSTM techniques are set to the identity matrix.
 
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Metadaten
Titel
Differential Space-Time Modulation Using DAPSK Over Rician Fading Channels
verfasst von
Chi-Hua Huang
Char-Dir Chung
Publikationsdatum
01.09.2014
Verlag
Springer US
Erschienen in
Wireless Personal Communications / Ausgabe 2/2014
Print ISSN: 0929-6212
Elektronische ISSN: 1572-834X
DOI
https://doi.org/10.1007/s11277-014-1799-7

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