A new adaptive scheme for time delay estimation is introduced for signal environments where the signal is non-Gaussian and the additive noise sources are spatially correlated Gaussian with unknown power spectrum chara...
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A new adaptive scheme for time delay estimation is introduced for signal environments where the signal is non-Gaussian and the additive noise sources are spatially correlated Gaussian with unknown power spectrum characteristics. The new scheme is based on parametric modeling between two sensor measurements and employs higher-order statistics (third- or fourth-order) of the data. An analytic asymptotic performance evaluation of the errors of the model parameters obtained by the new method is provided. It is demonstrated by means of extensive simulations that the new adaptive scheme works well for both stationary and nonstationaxy cases. As expected, it outperforms the cross- correlation-based gradient method for time delay adaptation in spatially correlated Gaussian noises. The new scheme is also compared with the overdetermined recursive instrumental variable method and shown to exhibit substantially less computational complexity.
Experimental analyses of an implementation of an SIMD algorithm for recursive digital filtering using the partitionable SIMD/MIMD (PASM) parallel processing system prototype at Purdue University are presented. The alg...
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Experimental analyses of an implementation of an SIMD algorithm for recursive digital filtering using the partitionable SIMD/MIMD (PASM) parallel processing system prototype at Purdue University are presented. The algorithm used easily generalizes to use N processing elements (PEs). Timing-based analyses are made based on a four-PE version by examining the following constituent execution times: microcontroller execution time, PE execution time, broadcast communication time, and the execution time of five additional phases in the recursive digital filtering summation calculation. Broadcast execution time was found to account for roughly 44% of the total execution time, and the implication of this is discussed for larger problem sizes and machine sizes. The total measured execution time is verified through summation of execution times for the various components of the algorithm.< >
Recent advances in the development of detection schemes for myocardial ischemia which use frequency-domain parameters as detection statistics open up the possibility of using frequency-domain methods in the inverse pr...
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Recent advances in the development of detection schemes for myocardial ischemia which use frequency-domain parameters as detection statistics open up the possibility of using frequency-domain methods in the inverse problem of electrocardiography. The application of the minimum relative entropy (MRE) reconstruction principle to this problem is considered and its theoretical justification is given. The MRE method is compared to a standard time-domain least-squares method, constrained least squares (CLS). Initial results indicate that the MRE method promises to be able to overcome limitations of the time-domain least-squares methods which tend to make the latter difficult to apply in a clinical setting.< >
The authors address the bearing estimation problem of sources from array data (snapshots) in the presence of Gaussian color (spatially correlated) noises of unknown autocorrelation matrix. They demonstrate that the ha...
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The authors address the bearing estimation problem of sources from array data (snapshots) in the presence of Gaussian color (spatially correlated) noises of unknown autocorrelation matrix. They demonstrate that the harmonic decomposition methods (signal and noise subspace) can easily be reformulated using fourth-order cumulant matrices instead of autocorrelations. Simulation results are presented and comparisons are made to show that the performance of the fourth-order cumulant-based methods (beamforming, MUSIC) is superior to that of their equivalent autocorrelation-based methods when the additive noise sources are colored Gaussian with unknown correlation matrix.< >
A complex form of a fast frequency estimation technique based on the quotient-difference (QD) algorithm is presented. The complex stochastic process is modeled as a sum of nonharmonically related damped exponentials. ...
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A complex form of a fast frequency estimation technique based on the quotient-difference (QD) algorithm is presented. The complex stochastic process is modeled as a sum of nonharmonically related damped exponentials. This algorithm computes the zeros of the predictor polynomial in a single step, directly from the data and has computational complexity on the order of Np.< >
A primary concern in the early days of pulse shaping was the construction of an analog circuit to generate the optimal pulse shape, and this has been a limiting constraint. With the recent developments in the DSP hard...
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A primary concern in the early days of pulse shaping was the construction of an analog circuit to generate the optimal pulse shape, and this has been a limiting constraint. With the recent developments in the DSP hardware, however, it is possible to use almost any pulse shape for digital data transmission. This resulted in a search for design algorithms capable of constructing pulse shapes matching to the properties of a given channel. Such properties can be translated to certain constrained criteria in the design of pulse shapes. The projection onto convex sets technique is suitable for the solution of this problem particularly because of its flexibility in modeling a variety of constraints. The use of the technique for the optimal pulse design problem is demonstrated through a detailed example from power line communications.
Recent development in digital signalprocessing (DSP) hardware has made it possible to use almost any pulse shape for digital data transmission, resulting in a search for design algorithms capable of constructing puls...
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Recent development in digital signalprocessing (DSP) hardware has made it possible to use almost any pulse shape for digital data transmission, resulting in a search for design algorithms capable of constructing pulse shapes matching the properties of a given channel. The technique of projection onto convex sets is particularly suitable for the solution of this problem because of its flexibility in modeling a variety of constraints. The use of the technique for the optimal pulse design problem is demonstrated through by an example from power line communications.< >
A new deflected stochastic-gradient algorithm for adaptive sensor arrays is introduced. It is shown to have the capability of converging substantially faster than the nondeflected stochastic gradient (LMS) algorithm b...
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A new deflected stochastic-gradient algorithm for adaptive sensor arrays is introduced. It is shown to have the capability of converging substantially faster than the nondeflected stochastic gradient (LMS) algorithm but slower than the recursive least squares (RLS) algorithm. Because of its amenability to reduction of computational complexity by data quantization, it has the potential for processing digital signals with bandwidths one to two orders of magnitude larger than the bandwidths manageable with the RLS algorithm for sensor arrays containing a number of adjustable weights in the approximate range of 10-50.
The importance of the concept of cyclostationarity in design and analysis of signal detectors, synchronizers, and extractors in communication systems is briefly discussed, and the central role of spectral correlation,...
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The importance of the concept of cyclostationarity in design and analysis of signal detectors, synchronizers, and extractors in communication systems is briefly discussed, and the central role of spectral correlation, in the characterization of random processes that are cyclostationary in the wide sense, is explained. A spectral correlation function that is a generalization of the power spectral density function is described, and a corresponding generalization of the Wiener-Khinchine relation and several other fundamental spectral correlation relations also are described. Explicit formulas for the spectral correlation function for various types of analog-modulated signals are derived. This includes pulse and carrier amplitude modulation, quadrature amplitude carrier modulation, and phase and frequency carrier modulation. To illustrate the differing spectral correlation characteristics of different modulation types, the magnitudes of the spectral correlation functions are graphed or described in graphical terms as the heights of surfaces above a bifrequency plane.
As a continuation of Part I, the spectral correlation function is presented for a variety of types of digitally modulated signals. These include digital pulse-amplitude, pulse-width, and pulse-position modulation, and...
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As a continuation of Part I, the spectral correlation function is presented for a variety of types of digitally modulated signals. These include digital pulse-amplitude, pulse-width, and pulse-position modulation, and various types of phase-shift keying and frequency-shift keying. The magnitudes of the spectral correlation functions are graphed as the heights of surfaces above a bifrequency plane, and these graphs are used as visual aids for comparison and contrast of the spectral correlation properties of different modulation types.
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