Decoding of constellations matched to the Rayleigh fading channel

It has recently been shown that a new class of d-dimensional non-QAM constellations matched for the Rayleigh fading channel (π-constellations), allows a d-order diversity without addition of redundancy [6–8]. Combined with traditional coding techniques, π-constellations are very efficient. However, the decoding algorithm of these constellations is far more complicated than that for qam-constellations. A sub-optimal algorithm for the decoding of π-constellations is proposed in this work. An example of application for 4 bit/Hz.s spectral efficiency with a 4-D π-constellations is given and the VLSI architecture of the decoder is described. The implementation, in a 0.8 μm standard cell technology, can be achieved with a 72 K gate circuit, with a binary rate of 32 Mbit/s and, from simulation, a binary error rate of 10^{- 3} for a snr of 14 dB.     

Exact matched filter bound for two-beam Rayleigh fading

The matched filter bound (MFB) is exactly evaluated for a channel modeled by the sum of two delayed and independently Rayleigh-fading beams. It is shown that, if the two beams have comparable average powers, and if the delay spread is moderate or large, then considerable gain is obtained from a diversity-like effect. That is, it is as if the two beams could be detected separately and their results combined. This is true even though significant interference would seem to be present between the beams     

On multilevel coded MPSK for the Rayleigh fading channel

This paper presents a new upper bound on the pair-wise error probability of MPSK sequences for the Rayleigh fading channel when channel state information (CSI) is unavailable. This bound is derived by adding weight factors in computing symbol metrics. Simulation results show that the weight factors which optimize the upper bound likely optimize the error rate as well. Multilevel coded MPSK schemes for the Rayleigh fading channel are also devised. Results show that the added weight factors improve the error performance of these schemes in the case that CSI is unavailable     

Error performance of matched and partially matched one-shotdetectors for doubly selective Rayleigh fading channels

In this paper, optimum one-shot detection over known and partially known doubly selective Rayleigh fading channels is investigated. Reduced complexity channel models based on Gauss quadrature rules and Taylor power series are derived and are employed to develop novel analytical tools for the performance analysis of one-shot detectors. Numerical results allow to assess the implicit diversity gain provided by both channel multipath and signal fading and the energy loss due to the mismatch of the receiver filter     

On first-order Markov modeling for the Rayleigh fading channel

Previous models for the received signal amplitude of the flat-fading channel that use first-order finite-state Markov chains are examined. The stochastic properties of a proposed first-order model based on these models are examined. The limitations of using an information theoretic metric, which is sometimes used to justify a first-order Markov chain as a sufficient model for very slowly fading channels, are discussed. A simple method of qualitatively comparing autocorrelation functions is instead proposed. The usefulness of the first-order Markov chain in representing the flat-fading channel is examined by looking at two specific problems in wireless system applications that represent two disparate cases. The first case involves analysis over a short duration of time, relative to the inverse of the normalized Doppler frequency, while the second involves analysis over a long duration of time. Contrary to previous reports, the results indicate that first-order Markov chains are not generally suitable for very slowly fading channels. Rather, first-order Markov chains can be suitable for very slowly fading applications, which require analysis over only a short duration of time     

多径瑞利衰落信道中的盲信噪比估计

提出了一种在多径瑞利衰落信道中的信噪比盲估计算法。采用自相关检测和多项式拟合的方法，在保证接收端参数符合降噪原理的条件下．利用接收信号同相分量的自相关函数实现了较精确的盲信噪比估计。算法分析和计算机仿真结果表明．该算法适用于低信噪比情况，在信噪比为0-20dB时估计误差小于1dB。     

Estimate of channel capacity in Rayleigh fading environment

The channel capacity in a Rayleigh fading environment is derived. The result shows that the channel capacity in a Rayleigh fading environment is always lower than that in a Gaussian-noise environment. When operating a digital transmission in a mobile radio environment that has Rayleigh fading statistics, it is very important to know the degradations in channel capacity due to Rayleigh fading, and also to what degree the diversity schemes can raise the channel capacity in a Rayleigh fading environment. The curves are generated to show the degradation of channel capacity in a Rayleigh fading environment and its improvement by diversity schemes     

Direct sequence spread spectrum matched filter acquisition infrequency-selective Rayleigh fading channels

This paper presents the performance of a matched filter acquisition scheme in nonselective and frequency-selective Rayleigh fading channels. This acquisition scheme employs a reference filter to estimate the variance of the interference at the output of the detecting matched filter. Expressions for probability of detection and probability of false alarm are derived and the mean acquisition time is evaluated for various channel and system parameters. The results presented show the relationship between channel and system parameters and the system performance     

瑞利平坦衰落信道中的调制识别算法

针对瑞利信道中信号调制识别问题,提出一种基于高阶累量的树状分类器.分类器中累量理论值经过推导得到,分类向量的选择基于错误概率最小的原则,采用最大化类间距离的方法.利用该分类器进行识别,不需预先知道信道参数.理论分析和仿真表明,信噪比10dB时,在适当数据长度情况下,各种信号识别概率在95%以上,该算法适合在瑞利信道下分类.     

Model-based channel estimation for OFDM signals in Rayleigh fading

This paper proposes a robust pilot-assisted channel estimation method for orthogonal frequency division multiplexing (OFDM) signals in Rayleigh fading. Our estimation method is based on nonlinear regression channel models. Unlike the linear minimum mean-squared error (LMMSE) channel estimate, the method proposed does not have to know or estimate channel statistics like the channel correlation matrix and the average signal-to-noise ratio (SNR) per bit. Numerical results indicate that the performance of the proposed channel estimator is very close to the theoretical bit error propagation lower bound that is obtained by a receiver with perfect channel response information     

Transmission of digital data over a Rayleigh fading channel

In a microwave mobile telecommunications system, a digital message must be transmitted several times to overcome the effects of Rayleigh fades that characterize this channel, and thus ensure a high probability that the message is received error-free. Obviously, there are many different transmission schemes that may be suitable for this channel. We present an analytic approach to an evaluation of their comparative performance in terms of the probability of a transmission failure, and provide a basis for the design of an efficient scheme. In the first part, we present some fade statistics that have been used in our analysis. Next, we derive upper bounds on the probability of the transmission failure for three different schemes. The actual failure rates as determined in an experimental simulation are then shown for those schemes that our theoretical study predicts to be acceptable. It is shown that an efficient scheme for the Rayleigh fading channel is the block-protected one in which a message is transmitted four times, each transmission 4-ms long and spaced 4-ms apart. The spacing is obtained by interleaving a similar transmission of another message. The receiver discards a transmission if it fails the parity checks.     

Cutoff rate of 16-DAPSK over a Rayleigh fading channel

The cutoff rate of 16-DAPSK modulation and differential detection over a Rayleigh fading channel is calculated, which provides the ensemble performance of coded data transmission. Given the code rate, the minimum SNR required for reliable communication is obtained with parameters such as the ring ratio and the diversity number     

Dual FH/MFSK system over a Rayleigh fading channel

A dual frequency-hopped/multilevel frequency shift keying (FH/MFSK) system is proposed for a Rayleigh fading channel. The dual FH/MFSK system is achieved by frequency-hopping a carrier frequency of the FH/MFSK system proposed by Goodman et al. (1980). The numerical results show that the proposed system allows more users than does the conventional system     

Comparison of two ARQ protocols in a Rayleigh fading channel

Go-back-N (GBN) and selective repeat (SR) protocols for automatic repeat request (ARQ) are compared in a frequency-nonselective Rayleigh fading channel. Protocols implemented in software are used in a computer-simulated fading channel to study the throughput of these protocols as a function of fading parameters, such as the mean signal-to-noise ratio (SNR), maximum Doppler frequency number of diversity branches, time-out period and round-trip delay. The purpose is to complement well-documented theoretical work in (1) providing some design considerations and (2) investigating quantitatively whether data communications combining detection-only coding, diversity, and basic ARQ protocols can offer reasonable throughput in a fading channel. Although based on a set of assumptions, the following conclusions remain valid: (1) SR is significantly superior to GBN when the fading rate is high; this advantage decreases as fading becomes slower; and (2) error detection combined with ARQ and diversity selection can provide reliable data communications in a Rayleigh fading channel     

Analysis of MFSK frequency-hopped spread-spectrum multiple-accessover a Rayleigh fading channel

An explicit expression for the symbol error probability for a system using frequency-hopped spread-spectrum multiple-access with M-ary frequency shift keying (M-ary FSK) is given when the channel is undergoing Rayleigh fading. Using this expression, the performance of binary BCH codes, nonbinary BCH codes and RS codes are compared, and the best choices of code and modulation format are determined for different channel conditions. Depending on the required codeword error probability, different choices of code and modulation format are found to give the best result. Some attention is also paid to the sometimes used assumption of a noiseless channel, which in many cases is found to give inaccurate results     

Multiple-antenna capacity in correlated Rayleigh fading with channel covariance information

We analyze a mobile multiple input multiple output wireless link with M transmit and N receive antennas operating in a spatially correlated Rayleigh flat fading environment. Only the correlations between the channel coefficients are assumed to be known at the transmitter and the receiver. The channel coefficients are correlated in space and uncorrelated in time from one coherence interval to another. These coefficients remain constant for a coherence interval of T symbol periods after which they change to another independent realization according to the spatial correlation model. For this system we characterize the structure of the input signal that achieves capacity. The capacity achieving transmit signal is expressed as the product of an isotropically distributed unitary matrix, an independent nonnegative diagonal matrix and a unitary matrix whose columns are the eigenvectors of the transmit fade covariance matrix. For the case where the number of transmit antennas M is larger than the channel coherence interval T, we show that the channel capacity is independent of the smallest M-T eigenvalues of the transmit fade covariance matrix. In contrast to the previously reported results for the spatially white fading model where adding more transmit antennas beyond the coherence interval length (M>T) does not increase capacity, we find that additional transmit antennas always increase capacity as long as their channel fading coefficients are spatially correlated with the other antennas. We show that for fast hopping or fast fading systems (T=1) with only channel covariance information available to the transmitter and receiver, transmit fade correlations are beneficial. Mathematically, we prove this by showing that capacity is a Schur-convex function of the vector of eigenvalues of the transmit fade correlation matrix. We also show that the maximum possible capacity gain due to transmitter fade correlations is 10logM dB.     

A multi-criteria comparative analysis of different Rayleigh fading channel simulators

In this paper, an in-depth comparative analysis of the most accepted and approved Rayleigh fading channel simulators is presented. Our study addresses the three common methods for generating time-correlated Rayleigh fading processes: the inverse discrete Fourier transform (IDFT) method, the filtering white Gaussian noise (FWGN) method and the sum-of-sinusoids (SOS) method. Totally seven models, including the recently proposed models, are analyzed and compared with Clarke's reference model. We use four quantitative measures for judicious assessment of the quality of generated processes in terms of both first-order and second-order statistics. Additionally, these measures cover analysis in time domain as well as in frequency domain. An evaluation of the computational effort is also depicted. The simulation results suggest that the recently published Wang's model is very attractive and it outperforms all SOS-based models. We conclude that Zheng and Xiao's first model remains the best choice among Zheng and Xiao's family models. Several other important remarks and conclusions about the accuracy and the capability of the different Rayleigh fading simulators are driven from this study.     

Rayleigh fading channel simulator based on inner–outer factorization

The paper deals with the design of Rayleigh fading channel simulators based on the inner–outer factorization. The core of the approach is to approximate the outer spectral factor of the channel power spectral density (PSD) by either finite-order polynomials or rational functions. This, respectively, leads to MA or AR/ARMA models. The parameter estimation operates in two steps: the outer factor, which leads to a minimum-phase filter, is first evaluated inside the unit disk of the z-plane. Then, we propose to compute the Taylor expansion coefficients of the outer factor because they coincide with the model parameters. Unlike other simulation techniques, this has the advantage that the first p parameters remain unchanged when one increases the model order from p to p+1. A comparative study with existing channel simulation approaches points out the relevance of our ARMA model-based method. Moreover, the ARMA model weakens the oscillatory deviations from the theoretical PSD in the case of AR models, or low peaks at the Doppler frequencies for MA models.     

Effect of channel fade rate on throughput of three GHARQ-II schemesover Rayleigh fading channel

The performance of three GHARQ-II schemes, based on punctured convolutional codes, used over a simulated Rayleigh fading channel subject to additive white Gaussian noise are compared. Various fade rates and signal to noise ratios are considered     

Design of efficient coding and modulation for a Rayleigh fading channel

The design of a coding/modulation structure for digital communications over a Rayleigh fading channel, the structure of the corresponding decoder, and the error rate performance of the resulting system are considered. Emphasis is on the use of constant weight codes for constructing equal energy waveforms for transmission over the channel. The performance gains that are achieved by the integrated coding/modulation approach relative to conventional methods for obtaining diversity are illustrated via some examples. Of special interest is the use of a concatenated coding technique for forming codes of large distance and hence high diversity. A new decoding algorithm is applied to enable efficient decoding of the concatenated code. An example is included that shows a performance increase of several dB resulting from concatenation.