This paper presents a framework for analyzing the error rate performance of multichannel coherent reception of MPSK systems operating over frequency selective, slowly fading channels. Each of the baseband channels is ...
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This paper presents a framework for analyzing the error rate performance of multichannel coherent reception of MPSK systems operating over frequency selective, slowly fading channels. Each of the baseband channels is assumed to be a bandlimited two-sided discrete path model with correlated complex Gaussian taps, which is assumed to have resulted from an underlying Gaussian wide-sense-stationary uncorrelated-scattering (WSSUS) physical channel followed by a lowpass filter. By working with this "resolved channel", the resulting performance evaluation incorporates whatever resolution is inherent in the bandwidth of interest. An expression for the received phase density function is developed. The probability of symbol error, conditioned on the interfering symbols, is then determined, and the cases for which a closed form or efficient numerical evaluation is possible are specified. The symbol error rate is then obtained by summing over the interfering symbols. A progressive ISI bound is then discussed for cases when faster computation is required. Examples are then provided to demonstrate the versatility of the method.
This paper describes a framework for predicting the error rate performance of linearly modulated coherent systems operating over frequency selective, slowly fading channels, when the statistics of the bandlimited two-...
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This paper describes a framework for predicting the error rate performance of linearly modulated coherent systems operating over frequency selective, slowly fading channels, when the statistics of the bandlimited two-sided discrete FIR model for the channel are available from a channel estimator. This work supports an upcoming experiment in which channel estimates obtained with one modulation scheme will be used to predict the performance of higher order modulation schemes. The focus of this paper is the mathematical framework for the theoretical performance prediction. Linear memoryless modulation is assumed, providing a a very general signal model that includes M-PSK and M-QAM. The channel model is slowly fading, with correlated complex Gaussian taps, incorporating both the flat and frequency selective cases. Expressions for the error probability are presented, and the cases for which closed form or acceptable numerical solutions exist are delineated. A new recursive method for solving the Rician-fading main path case is presented. The high-data-rate maritime line-of-sight channel is used to demonstrate the use fullness of the method.
Short-range scatterometer systems are used to obtain radar backscatter signatures for understanding the interaction between electromagnetic energy and geophysical media in a number of remote sensing applications. Unli...
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Short-range scatterometer systems are used to obtain radar backscatter signatures for understanding the interaction between electromagnetic energy and geophysical media in a number of remote sensing applications. Unlike long-range and intermediate-range radar systems, the sensitivity of short-range radars is not limited by thermal noise, but rather by reflections and leakage signals from the antenna and RF section. These leakage signals and their sidelobes are the primary sources of unwanted signals (coherent noise) in short-range FM radar systems. The authors have employed coherent noise reduction techniques to reduce the effects of these unwanted signal sources. Reduction of these coherent noise sources is critical to obtaining accurate backscatter measurements from geophysical targets. Recent advances include the use of phase correction to overcome limitations due to drift of local oscillators and effects of temperature changes on the system. The authors present results from the standard and phase-corrected coherent noise reduction techniques. These techniques increased the dynamic range of field and laboratory measurements of radar backscatter from sea ice and allows the authors to use data from past experiments that had previously been discarded due to low signal-to-noise ratio.
A feedback technique that utilizes a special optical modulator is used to reduce the phase noise of RF signals in microwave fiber-optic links. Experimental results indicate a reduction in the phase noise of a 150 MHz ...
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A feedback technique that utilizes a special optical modulator is used to reduce the phase noise of RF signals in microwave fiber-optic links. Experimental results indicate a reduction in the phase noise of a 150 MHz signal by more than 14 dB at offset frequencies of up to 4 kHz from carrier.
It was shown in [1] that for control-affine nonlinear systems, global asymptotic stabilizability via continuous state feedback implies global input-to-state stabilizability with respect to actuator disturbances. We sh...
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It was shown in [1] that for control-affine nonlinear systems, global asymptotic stabilizability via continuous state feedback implies global input-to-state stabilizability with respect to actuator disturbances. We show that the analogous result for sensor disturbances does not hold: we construct a second-order system which admits a continuous memoryless globally asymptotically stabilizing state feedback controller but for which no such controller can prevent finite escape times from every initial condition in the presence of small sensor disturbances.
We develop tools for backstepping with Lyapunov functions and control laws which are locally Lipschitz but not differentiable. We use Clarke’s generalized gradient and its associated calculus to show that the locally...
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We develop tools for backstepping with Lyapunov functions and control laws which are locally Lipschitz but not differentiable. We use Clarke’s generalized gradient and its associated calculus to show that the locally Lipschitz backstepping construction is essentially the same as the differentiable one. Our recursive method is constructive and yields an explicit expression for the control law.
For nonlinear systems in extended strict feedback form, where unmeasured states enter linearly, we construct dynamic partial state feedback controllers that achieve the global asymptotic tracking of given reference tr...
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For nonlinear systems in extended strict feedback form, where unmeasured states enter linearly, we construct dynamic partial state feedback controllers that achieve the global asymptotic tracking of given reference trajectories while maintaining internal boundedness.
The misadjustment exhibited by the constant modulus algorithm (CMA) can be excessive when it is used for blind equalization of QAM signals, thus degrading the performance of decision-directed carrier recovery algorith...
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The purpose of this paper is to investigate in an infinite dimensional space, the first passage problem with a risk-sensitive performance criterion, and to illustrate the asymptotic behavior of the associated value fu...
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The purpose of this paper is to investigate in an infinite dimensional space, the first passage problem with a risk-sensitive performance criterion, and to illustrate the asymptotic behavior of the associated value function, as related to differential games arising in robust control theory. The model of interest is described by a controlled stochastic evolution with small Wiener noise intensity. The Wiener and state processes take values in infinite dimensional Hilbert spaces. The objective is to control the evolution of the state process, so as to keep it in some compact set G. By using a logarithmic transformation, it is shown that in the limit as the small noise parameter, /spl epsiv//spl rarr/0, the risk-sensitive value function converges to the value of a deterministic differential game. In the limit as the risk parameter, /spl theta//spl rarr/0, the risk-sensitive value function converges to the value function corresponding to the mean escape time problem. In addition, a lower bound on the first escape time is derived which is slightly different from the known bound for finite dimensional systems. The magnitude of the lower bound derived here, increases as /spl theta/ increases, thus robustness is achieved.
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