Bounds on Probability of Error in Decision Feedback Equalizers

Evaluation of the probability of error in decision feedback equalizers is difficult due to the presence of a hard limiter in the feedback path. This paper derives the upper and lower bounds on the probability of a single error and multiple error patterns. The bounds are fairly tight. The bounds can also be used to select proper tap gains of the equalizer.     

Comments on "Bounds on Probability of Error in Decision Feedback Equalizers"

In the above paper1 a technique was proposed to derive an upper bound on the error probability of a decision feedback equalizer. It involves decomposition of the probability density function of residual intersymbol interference and derivation of Chebyshev-type bounds on the error functionals over the decomposed functions. In this correspondence, we demonstrate that the technique is not applicable in general. The result is not a bound in many cases.     

Bounds on Elevation Error Estimates of a Target in Multipath

The Cramer-Rao bound for an unbiased estimate of the elevation angle of a target in the presence of multipath is calculated for the symmetric (target and image symmetric about the elevation symmetry plane of antenna) and nonsymmetric cases for an antenna consisting of 21 elements. These bounds are compared to the maximum likelihood estimates and it is found that the rms error of the maximum likelihood estimate (which has a bias) is below the Cramer-Rao bound for unbiased estimates.     

Comments on "on Probability of Error in Decision Feedback Equalizer"

The above-mentioned paper [1] derives bounds on the error probability of a decision feedback equalizer (DFE) which are claimed to be significantly tighter than the earlier upper bound of [2]. Unfortunately, [1] makes an unsupportable assumption which reddars the conclusions incorrect. We show that valid bounds can be obtained by the methods of [1], but that for the numerical example of [2] , the resulting upper bound is never tighter than, and sometimes significantly weaker than, that derived in [2]. Similarly, a lower bound derived by the method of [1] is shown for the same numerical example to be very close to the error-free past lower bound previously known.     

Probability of Error in a Bandlimited Quadriphase Communication System

The probability of error is computed in a quadriphase communication system, with a causal bandlimiting bandpass filter. Intersymbol interference in each channel and intersymbol interference from the neighboring channel is evaluated. The effect of nonoptimal sampling time on the probability of error is presented.     

飞机焊接导管数字化制造技术研究

针对目前飞机导管在生产制造上存在的不足,为了缩短导管工装设计周期,提高导管工装定位的准确度和导管的制造精度,对飞机焊接导管数字化装配工装、自动焊接等关键技术进行了研究。采用数字化设计方法建立焊接工装的数模,通过孔定位方法实现导管焊接的定位和夹紧,通过坐标系拟合、焊缝跟踪和修正等完成导管间的自动焊接,实现焊接导管的数字化制造。     

On Truncation Error Bounds for Sampling Representations of Band-Limited Signals

All sampling representations of band-limited signals involve infinite sums. The truncation error associated with a given representation is defined as the difference between the signal and an approximating sum utilizing a finite number of terms. In this paper truncation error is expressed as a contour integral for Lagrange interpolation, general Hermite interpolation, the Shannon series (cardinal series), the Fogel derivative series, and multidimensional sampling expansions. Truncation error bounds are obtained under various constraints on the signal magnitude, spectral smoothness, and energy content.     

夹具定位误差的概率分析计算

用概率方法分析夹具的定位误差,并与常用的极值法进行比较,从而得出概率分析方法的特点。     

The Effect of Spectral Shape on the Probability of Error in Laser Binary Communication Systems

The effect of spectral bandwidth and spectral shape upon laser binary communication systems is investigated. The probability of error is plotted as a function of bandwidth for Lorentzian and Gaussian shaped spectra. The results show that even when the average noise power and the signal-to-noise ratio are held constant, the probability of error varies considerably as a function of spectral bandwidth.     

Error Probability in Binary Digital Communication in the Presence of an Interfering Signal

The presence of an interferring signal i(t) in a binary coherent symmetric channel is investigated. The probability of error is maximum when i(t) is antipodal to the transmitted signal, so(t) or s1 (t). The error probability is derived in the presence of a delayed interfering signal - so (t - r), where r is the time delay. An example of phase shift keying signals is given.     

Degradation of Probability of Error Due to IF Filtering

The probability of error P(e) is computed in a binary communication system with a single-pole IF filter. The effect of time-bandwidth product foT and IF frequency to band width ratio f1/Ifo on P(e) is shown. The sampling time is optimized and the effect of nonoptimal sampling time on P(e) is calculated.     

Error Probability for NCFSK with Linear FM Jamming

An expression is derived for the probability of error for a conventional binary, noncoherent, frequency-shift-key (NCFSK) communications system under the influence of bandpass Gaussian noise and a linear frequency-modulation jamming waveform. The resulting integral is expressed in terms of the well-known Q function, which depends upon average signal, noise, and jamming powers. The analytical procedures used can be applied to the analysis of the effects of other types of jamming.     

A Useful Approximation to Binary FSK Probability of Error

A technique for calculating a simple approximation to the probability of error for binary frequency-shift keying (FSK) systems when the predetection bandwidth-bit duration product is large enough so that the signal portion of the detector output is relatively undistorted is described. The results are mathematically simple and avoid the calculation of the density function of the nonclick noise part of the output phase noise.     

毫米波制导导弹系统误差及捕获概率研究

分析了毫米波制导导弹系统误差源及其分布特性,该误差直接决定所需导引头动态视场的大小;对导引头动态视场的影响因素进行了分析,并计算了导引头在不同条件下的动态视场,基于此计算了导引头捕获概率。研究结果可以直接应用于毫米波制导导弹的工程研制,并且可以对同类的自寻的导弹工程研制起借鉴作用。     

湍流信道条件下大气无线光通信系统差错性能分析比较

介绍了湍流信道条件下光强闪烁的对数正态分布模型和负指数分布模型,仿真分析比较了两种信道模型条件下无线光通信系统的差错性能。仿真结果表明,平均接收功率相同时,弱湍流条件下,系统的误比特率明显低于强湍流的情况;误比特率为10。时,弱湍流信道闪烁指数为0．25情况下,系统所需的平均接收光功率为-51．5dBm,而强湍流下,系统所需的平均接收光功率为一17．1dBm,比弱湍流下多需34．4dB的平均接收光功率。分析结果表明,弱湍流对数正态分布信道模型和强湍流负指数分布模型不能很好地描述中湍流信道模型,对此有待进一步研究。     

轨道交角与时间偏差对拦截卫星拦截概率的影响

拦截卫星通过均匀分布的微粒网逆轨拦截目标卫星时,需要确定交会轨道与目标轨道的轨道交角。轨道交角和交会时的时间偏差影响着拦截卫星对目标卫星的拦截概率。研究了对目标卫星主体毁伤情况下,轨道交角和交会时间偏差与拦截卫星拦截概率之间的关系;阐述了有一定交会时间偏差时,轨道交角的选择情况,并对其进行了仿真计算。结果表明,当时间偏差足够大时,轨道交角的误差对拦截概率的影响不明显。     

Error Probability for Fading CPSK Signals in Gaussian and Impulsive Atmospheric Noise Environments

Recently the performance of digital communication systems in the presence of impulsive atmospheric noise has been evaluated assuming a noise model which is in excellent agreement with experimental results. We evaluate the bit error probability for coherent phase-shift keying (CPSK) signaling assuming the same atmospheric noise model but considering a more reasonable representation of the communication channel which accounts for the simultaneous presence of Gaussian (always present) atmospheric noise and signal fading.     

Theoretical Bounds on Random Errors in Satellite Doppler Navigation

Analytic expressions of the random errors in a satellite Doppler navigation system are developed. The errors in the along-track and across-track coordinates are expressed as functions of the geometry (range and angle), pass-length, and signal-to-noise ratio (SNR). Such an analytic result becomes possible due to an explicit solution to a simplified rectilinear model of the satellite pass over a flat Earth. It is shown that the explicit solution performance in the presence of noise is identical to that of the iterative solution, used in the real navigation problem.     

Bounds on Time-Delay Estimation for Monochromatic Signals

Time-delay estimation (TDE) of monochromatic signals,observed by spatially separated sensors, is widely used for sourcelocalization in radar/sonar applications. We use lower bounds tostudy the accuracy of TDE as a function of signal to noise ratio(SNR), frequency, and sensor separation. We show that the Cramer-Rao bound, which is frequently used as a standard ofreference, yields optimistic predictions in many cases.