Signal space detection for recording channels with jitter noise

A delay-constrained sequence detector is considered for recording channels whose major impediments include intersymbol interference (ISI) and magnetic transition jitter noise. The jitter noise is data-dependent, and a given noise sample is correlated with neighboring noise samples. A sequence detector with a finite decision delay can be formulated in a finite dimensional vector space. For a correlated noise channel, the decision boundary is generally quadratic. We present a technique for obtaining a minimal set of hyperplanes approximating a quadratic decision boundary with a negligible performance loss. In this process, a distance measure, which is consistent with the notion of the effective SNR, is defined and used as a design parameter to trade the complexity and performance. As an achievable performance bound, we derive the effective SNR for the maximum-likelihood sequence detector (MLSD) for these channels. The performance of the partial response maximum likelihood (PRML) detector commonly adopted for current data storage channels as well as the Viterbi algorithm (VA) based on the traditional Euclidean metric, which serves as the MLSD for additive white Gaussian noise, are also analyzed and compared with that of the proposed signal space detector     

Realizable lower bounds for time delay estimation

The accuracy of time delay estimates obtainable in active localization systems is studied, focusing on the effect of ambiguities in the time delay estimates. Such ambiguities occur when the transmitted signal has small relative bandwidth. Then, for signal to noise ratios below a certain threshold, the commonly used Cramer-Rao lower bound is not realizable. The study concentrates on the region of intermediate SNR values, where the Cramer-Rao bound is no longer achievable, but useful information on time delays can still be obtained from the measurement. Realizable bounds for the single and two echo cases are obtained by deriving a new form of the Barankin (1949) bound for active time delay estimation. This form maintains the realizability property of the most general form, but is of reasonable complexity. New bounds are derived for the multiple echo case. Examples are presented to illustrate the dependence of the bound on parameters such as SNR, relative bandwidth, and echo separation     

Analytical modelling of multiservice switching networks with multiservice sources and resource management mechanisms

In this paper, we presents an analytical link capacity and outage performance analysis of downlink multiuser diversity (MUD) in multiple-input multiple-output (MIMO) system employing maximal-ratio combining (MRC) with transmit antenna selection (TAS) in the presence of imperfect channel state information (CSI) due to feedback delay over Rayleigh fading channels. The unified achievable analysis is appropriate for MUD–MIMO with TAS/MRC systems in which effective output signal-to-noise ratio (SNR) is specified as highest order statistic of chi-square distribution. Based on this framework, the closed-form channel capacity and outage probability expressions are examined for the MUD–MIMO exploiting TAS/MRC with normalized SNR based scheduling in heterogeneous wireless networks. Further, we derive approximate upper bound capacity as well as capacity at high SNR and low SNR region under delayed feedback CSI. The upper and lower bound of outage probability under delayed feedback CSI is also evaluated. Thereafter the impact of feedback delay and antenna structures with significance on the consideration of MUD on the performance of the system has been analyzed.     

Hilbert transformer and time delay: statistical comparison in thepresence of Gaussian noise

We have shown that in the presence of independent and identically distributed (i.i.d.) additive Gaussian noise, the performance of a time delay as a phase shifter, which produces a signal-dependent phase shift, is comparable with the performance of a Hilbert transformer which produces a signal-independent 90° phase shift, especially for high signal-to-noise ratios (SNRs) and the proper choice of the delay. Sinusoidal signals are considered. It is shown that the time-delay phase process in Gaussian noise can be approximated by the noise-free phase plus a non-Gaussian phase noise. As the SNR increases, the expected value of the time-delay phase estimator approaches the true value of the phase, and its variance substantially decreases and converges to the Cramer-Rao bound for all ranges of the effective parameters: the phase shift, the deterministic phase, and SNR. A symmetric transformation of the phase probability density function (PDF) that improves the performance of the time delay in Gaussian noise is also proposed     

Frequency estimation of a single complex sinusoid using a generalized Kay estimator

This letter introduces a generalized version of Kay's estimator for the frequency of a single complex sinusoid in complex additive white Gaussian noise. The Kay estimator is a maximum-likelihood (ML) estimator at high signal-to-noise ratio (SNR) based on differential phase measurements with a delay of one symbol interval. In this letter, the corresponding ML estimator with an arbitrary delay in the differential phase measurements is derived. The proposed estimator reduces the variance at low SNR, compared with Kay's original estimator. For certain delay values, explicit expressions for the window function and the corresponding high SNR variance of the proposed generalized Kay (GK) estimator are presented. Furthermore, for some delay values, the window function is nearly uniform and the implementation complexity is reduced, compared with the original Kay estimator. For a delay value of two, we show that the variance at asymptotically high SNR approaches the Cramer-Rao bound as the sequence length tends to infinity. We also explore the effect of exchanging the order of summation and phase extraction for reduced-complexity reasons. The resulting generalized weighted linear predictor estimator and the GK estimator are compared with both autocorrelation-based and periodogram-based estimators in terms of computational complexity, estimation range, and performance at both low and high SNRs.     

Performance Analysis of Multiuser Diversity on OSTBC MIMO Systems with Antenna Selection in the Presence of Feedback Delay CSI

In this paper, we studied a comprehensive analytical symbol error probability (SEP) performance analysis of downlink multiuser diversity (MUD) on orthogonal space–time block code (OSTBC) system with transmit antenna selection (TAS) in the presence of imperfect channel state information (CSI) due to feedback delay over Rayleigh fading channels. The novel analytical approach is suitable for MUD with TAS/OSTBC systems in which effective receiver signal-to-noise ratio (SNR) is described as highest order statistic of Chi square distribution. Based on this framework, the closed-form SEP expressions are evaluated for the MUD exploiting TAS/OSTBC with normalized SNR based scheduling in heterogeneous wireless networks. Further, we derive approximate SEP; upper bound and lower bound SEP at high SNR under delayed feedback CSI. Thereafter the impact of feedback delay and antenna structures with significance on the consideration of MUD on the performance of the system has been analyzed.

     

Importance sampling simulation for evaluating lower-bound symbolerror rate of the Bayesian DFE with multilevel signaling schemes

For the class of equalizers that employs a symbol-decision finite-memory structure with decision feedback, the optimal solution is known to be the Bayesian decision feedback equalizer (DFE). The complexity of the Bayesian DFE, however, increases exponentially with the length of the channel impulse response (CIR) and the size of the symbol constellation. Conventional Monte Carlo simulation for evaluating the symbol error rate (SER) of the Bayesian DFE becomes impossible for high channel signal-to-noise ratio (SNR) conditions. It has been noted that the optimal Bayesian decision boundary separating any two neighboring signal classes is asymptotically piecewise linear and consists of several hyperplanes when the SNR tends to infinity. This asymptotic property can be exploited for efficient simulation of the Bayesian DFE. An importance sampling (IS) simulation technique is presented based on this asymptotic property for evaluating the lower bound SER of the Bayesian DFE with a multilevel pulse amplitude modulation (M-PAM) scheme under the assumption of correct decisions being fed back. A design procedure is developed, which chooses appropriate bias vectors for the simulation density to ensure asymptotic efficiency (AE) of the IS simulation     

On the SNR merits of run-length-limited codes in feedback-equalizedrecording systems

An upper bound is derived for the SNR merits that may be attributed to run-length-limited codes when used in high-density recording systems with optimum mean-square decision feedback equalization. It is argued and exemplified that these merits often lag behind the SNR improvement that uncoded storage would bring about via a reduction of the signaling rate. Losses are quantified for a number of practical codes as well as for maxentropic (d,k) sequences     

A Linear Prediction Based Estimation of Signal‐to‐Noise Ratio in AWGN Channel

Most signal‐to‐noise ratio (SNR) estimation techniques in digital communication channels derive the SNR estimates solely from samples of the received signal after the matched filter. They are based on symbol SNR and assume perfect synchronization and intersymbol interference (ISI)‐free symbols. In severe channel distortion where ISI is significant, the performance of these estimators badly deteriorates. We propose an SNR estimator which can operate on data samples collected at the front‐end of a receiver or at the input to the decision device. This will relax the restrictions over channel distortions and help extend the application of SNR estimators beyond system monitoring. The proposed estimator uses the characteristics of the second order moments of the additive white Gaussian noise digital communication channel and a linear predictor based on the modified‐covariance algorithm in estimating the SNR value. The performance of the proposed technique is investigated and compared with other in‐service SNR estimators in digital communication channels. The simulated performance is also compared to the Cramér‐Rao bound as derived at the input of the decision circuit.     

基于最小生成树的分簇协作频谱感知改进算法

为减少分簇过程中的时延,基于最小生成树的单向比较优势提出簇首快速推举方法,并提出改进的分簇协作频谱感知算法,分析了算法的时间复杂度。算法首先基于最小划分对所有次用户节点进行分簇,簇内节点根据设置的评价条件进行性能比较,推举簇首。由簇首进行本地簇内频谱检测,并上传检测结果,最后融合中心在簇首间实现协作的频谱检测。在瑞利信道条件下,仿真显示在大信噪比时,融合中心应用AND规则,系统具有较小的虚警率,所提算法检测性能优;小信噪比时,应用OR规则能扩展系统的有效检测区间,所提算法在满足系统要求的前提下检测性能较差,但簇内信道效率提高了n-1倍。     

基于判决反馈的CPFSK信号非相干多符号检测算法

针对传统多符号检测算法存在的计算复杂度高、工程实现难度大等问题,提出了基于判决反馈思想的改进算法。该算法利用已判决的码元信息,对观测长度内所有可能发送波形进行筛选,从而减少码元判决时所需的相关器数量,降低算法的检测复杂性。在低信噪比和高信噪比2种情况下推导出改进算法误码性能的联合上边界,并基于网格最小欧氏距离求得其性能下边界,明确界定了改进算法的误码性能。理论分析和仿真结果都表明,与传统算法相比,在不损失检测性能的前提下,改进算法的复杂度随着反馈码元个数的增加呈负指数幂减少。     

Margin measurements in optical amplifier system

The margin, or the difference between the received signal-to-noise (SNR) and the SNR required to maintain a given bit error ratio (BER), is important to the design and operation of optical amplifier transmission systems A new tehnique is described for estimating the SNR at the receiver's decision circuit when the BER is too low to be measured in a reasonable time. The SNR is determined from the behavior of the BER as a function of the decision threshold setting in the region where the BER is measurable. The authors obtain good agreement between the BER predicted using the measured SNR value and the actual measured BER     

改进的互功率谱相位时延估计方法

互功率谱相位是一种常用的时延估计方法,该方法在弱噪声和中度以下混响的环境下,可以获 得比较精确的时廷估计值;但在低信噪比和强混响的环境下,该方法的性能急剧下降,针对这一问题,本文 提出了一种改进的互功率谱相位时延估计方法。计算机模拟结果表明,改进后的方法即使在低信噪比和强混 响的环境下,也可以获得令人满意的时延估计值。     

相对时延对ST-FSK系统性能的影响

空时频移键控(ST-FSK)结合了空时分组码和频移键控的优点,在瑞利衰落信道条件下无需信道信息,可采用非相干的最大似然(ML)检测器。该文推导了在接收端已知相对时延条件下的非相干ML判决度量,讨论了在接收端未知相对时延条件下信噪比与二进制、四进制ST-FSK系统误比特率性能的关系。理论和仿真结果都表明:(1)低信噪比弱化了相对时延对ST-FSK系统可靠性的影响,但在高信噪比条件下相对时延会严重制约系统性能;(2)相对时延对系统性能的影响与系统进制数的关系不大。     

Frame Synchronization for Gaussian Channels

The problem of locating a periodically inserted frame synchronization pattern in random data for aM-ary digital communication system operating over the additive white Gaussian noise channel is considered. The optimum maximum-likelihood decision rule, high signal-to-noise approximate maximum likelihood decision rule, and ordinary correlation decision rule for frame synchronization are derived for both coherent and noncoherent phase demodulation. A general lower bound on synchronization probability is derived for the coherent correlation rule. Monte Carlo computer simulations of all three decision rules, along with evaluations of the lower bound for the coherent correlation rule, were performed for the coherent MPSK, coherent, and noncoherentMary orthogonal, and 16 QAM signaling schemes. These results show that in each case the high signal-to-noise maximum-likelihood rules have a performance nearly equal to that of the maximum-likelihood rules over a wide range of practically interesting signal-to-noise ratios (SNR's). These high SNR decision rules also provide significant performance improvement over the simple correlation rules. Moreover, they are much simpler to implement than the maximum-likelihood decision rules and, in fact, are no more complex than the correlation rules.     

MIMO-OFDM系统无线衰落信道容量分析

推导了MIMO-OFDM系统在衰落信道下的各态历经容量、最优发送策略、使用等功率分配时的容量上界以及相对于单天线OFDM系统的容量增益。结果表明：天线数和平均接收信噪比是决定MIMO-OFDM系统信道容量的关键因素。天线数越多或者接收信噪比越大,信道的容量越大,信道容量几乎不受多径时延扩展的影响。慢衰落信道下的最大信道容量可以使用空-频两维注水算法得到,当接收信噪比足够大时,最大信道容量也可以用平均分配发送功率的方法逼近。     

Optimal invariant detection of a sinusoid with unknown parameters

A uniformly most-powerful test does not exist for the problem of detecting a sinusoid of unknown amplitude, phase, and frequency in complex white Gaussian noise of unknown variance. The problem is shown to be invariant to scale and modulation transformations. Using invariance principles, it is found that the uniformly most-powerful-invariant (UMPI) test does not exist. A test is derived that is UMPI if it is given that the signal-to-noise ratio (SNR) is known. For SNR unknown, the derived test can be used as an upper performance bound for any invariant test. Suboptimal tests are typically implemented such as the generalized likelihood ratio and locally most powerful tests, which are also scale and modulation invariant. It is shown analytically that as SNR approaches zero, the locally most-powerful-invariant test performance approaches the UMPI performance bound, and as the SNR becomes large, the generalized likelihood ratio test performance approaches the performance of the UMPI bound. Computer simulation examples indicate that the generalized likelihood ratio test performance is close to the UMPI bound, particularly in the low-probability-of-false-alarm region of the receiver operating characteristic curve     

基于互模糊函数的宽带信号时差估计

提出了一种新的高精度时差估计算法。传统的直接互相关测时差法,在低信噪比时的测量精度较差,不能满足高精度估计的要求。这种基于互模糊函数的算法与传统的直接互相关法相比,更适用于低信噪比情况下的时差估计。     

CCK demodulation via symbol decision feedback equalizer

A symbol decision feedback equalization (DFE) technique is developed for demodulating complementary code keying (CCK) signals. The efficacy of the proposed receiver is demonstrated on the physical layer (PHY) specified in the IEEE 802.11b wireless local area network (WLAN) standard. Packet error rate (PER) performance is compared with that of the conventional RAKE receiver. The proposed receiver structure and its low complexity variations demonstrate significant performance advantages over the RAKE receiver, especially in severe multipath channels. While a large delay spread can limit the performance of two low-complexity variations discussed here, performance of the optimal symbol DFE receiver is not limited by delay spread as long as the channel signal-to-noise ratio (SNR) is sufficiently high.     

分布式全相参雷达相干参数估计及相参性能分析

针对一般结构的分布式全相参雷达,首先推导了包括时延差及"和相位差"的相干参数估计的克拉美—罗界(CRB)闭式解;然后考虑时延和相位补偿误差同时存在时,分析了全相参模式下的输出信噪比增益(oSNRg),基于相干参数估计的CRB,给出了oSNRg的上界的数值解。结论表明,"和相位差"的CRB与信号载频及有效带宽均无关;oSNRg随着发射天线数的增加而提高;而增加接收天线数,能否提高oSNRg取决于输入信噪比大小,较大时则oSNRg随之提高,较小时反而随之下降。最后仿真实验验证了研究结论的正确性。