作者:
Pitton, JWMathSoft
Seattle WA 98109 1700 Westlake Ave N United States
An algorithm for computing positive time-frequency distributions (TFDs) for nonstationary signals is presented. This work extends the earlier work of the author and his colleagues in computing positive TFDs [11, 15]. ...
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ISBN:
(纸本)0819425842
An algorithm for computing positive time-frequency distributions (TFDs) for nonstationary signals is presented. This work extends the earlier work of the author and his colleagues in computing positive TFDs [11, 15]. A general approach to the problem of computing these signal-dependent distributions is derived. The method is based on an evolutionary spectrum formulation of positive TFDs. Following earlier work [15], a relationship is derived between positive TFDs and the ambiguity function of the observed signal. In particular, it is shown that the TFD is approximately equal to the two-dimensional Fourier transform of the ambiguity function. A method for computing the positive TFD is then presented based on minimizing the squared error in this approximation subject to the TFD being positive and satisfying the time and frequency marginals. The squared error may be weighted non-uniformly, resulting in a constrained weighted least-squares optimization problem. A solution to this optimization problem based on an alternating projections framework is presented, and an example is provided. The resulting TFD provides excellent time-frequency resolution while maintaining positivity and satisfying the marginals.
We use the Wigner distribution to study pulse propagation in a dispersive media and we show that it leads naturally to a particle view. Using the results obtained we develop a simple approximation method that evolves ...
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ISBN:
(纸本)0819441880
We use the Wigner distribution to study pulse propagation in a dispersive media and we show that it leads naturally to a particle view. Using the results obtained we develop a simple approximation method that evolves a pulse in time.
Microphone arrays can be used for high-quality sound pick up in reverberant and noisy environments. The beamforming capabilities of microphone array systems allow highly directional sound capture, providing superior s...
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ISBN:
(纸本)0819425842
Microphone arrays can be used for high-quality sound pick up in reverberant and noisy environments. The beamforming capabilities of microphone array systems allow highly directional sound capture, providing superior signal-to-noise ratio (SNR) when compared to single microphone performance. There are two aspects in microphone array system performance: The ability of the system to locate and track sound sources, and its ability to selectively capture sound from those sources. Both aspects of system performance are strongly affected by the spatial placement of microphone sensors. A method is needed to optimize sensor placement based on geometry of the environment and assumed sound source behavior. The objective of the optimization is to obtain the greatest average system SNR using a specified number of sensors. A method is derived to evaluate array performance for a given array configuration defined by the above mentioned metrics. An overall performance function is described based on these metrics. A framework for optimum placement of sensors under the practical considerations of possible sensor placement and potential location of sound sources is also characterized.
We formulate in a simple fashion the concept of invariance for a linear system. We show that one must define what we call an "associated Hermitian operator"' which commutes with the system function. We s...
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ISBN:
(纸本)9780819468451
We formulate in a simple fashion the concept of invariance for a linear system. We show that one must define what we call an "associated Hermitian operator"' which commutes with the system function. We show that it is this Hermitian operator that defines the invariance and also determines the appropriate transform and other connections between input and output relations.
We generalize the concept of the autocorrelation function to arbitrary physical variables and show how it can be used to define a local autocorrelation function. Using the local autocorrelation function we develop a n...
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ISBN:
(纸本)0819429163
We generalize the concept of the autocorrelation function to arbitrary physical variables and show how it can be used to define a local autocorrelation function. Using the local autocorrelation function we develop a new method to generate densities for arbitrary physical quantities. In addition, we show that the generalized autocorrelation function can be used to characterize functions with respect to a physical property.
We present a method for writing the differential equation for the smoothed Wigner distribution that corresponds to the solution of an ordinary linear differential equation. The method can be applied on an, linear ordi...
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ISBN:
(纸本)0819441880
We present a method for writing the differential equation for the smoothed Wigner distribution that corresponds to the solution of an ordinary linear differential equation. The method can be applied on an, linear ordinary differential equation with constant or time-varying coefficients.
We discuss pulse propagation in a dispersive medium with damping. We derive an explicit expression for the center of mass motion and show that when there is damping the center of mass does not travel with constant vel...
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ISBN:
(纸本)0819454974
We discuss pulse propagation in a dispersive medium with damping. We derive an explicit expression for the center of mass motion and show that when there is damping the center of mass does not travel with constant velocity, as is the case when there is no damping. We also derive an explicit relation connecting pulse propagation in the damped case with that of the undamped case. This allows the transformation from one case to the other. A number of exactly solvable examples are given to illustrate the equations derived.
In this paper we combine two recently developed multi-scale deconvolution algorithms, known as the scale-time domain method and the sum-of-cumulants domain method. We formulate the deconvolution problem in the scale-c...
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ISBN:
(纸本)0819437611
In this paper we combine two recently developed multi-scale deconvolution algorithms, known as the scale-time domain method and the sum-of-cumulants domain method. We formulate the deconvolution problem in the scale-cumulant domain using the Scale Transform (ST) and show that the procedure is simpler when the unknown source signal is non-minimum phase and robust if Gaussian noise exists.
作者:
Rohrbaugh, RUSN
CTR SURFACE WARFAREADV SIGNAL PROC BRANCHBREMERTONWA 98314
Time-frequency methods are applied for bearing analysis of a motor-generator. We show that these methods reveal features that are not seen by traditional methods, such as the power spectrum. These features may be used...
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ISBN:
(纸本)0819422347
Time-frequency methods are applied for bearing analysis of a motor-generator. We show that these methods reveal features that are not seen by traditional methods, such as the power spectrum. These features may be used for detection of specific faults and as supplemental information to assess the condition of the machine.
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