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.
Most implementations of accumulators, multipliers, or multiplier-accumulator units, operating in a finite integer ring, R(m), are based on ROM's or PLA's. This paper proposes a full adder-based arithmetic unit...
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Most implementations of accumulators, multipliers, or multiplier-accumulator units, operating in a finite integer ring, R(m), are based on ROM's or PLA's. This paper proposes a full adder-based arithmetic unit, called an (FA)-based AU(m), capable of performing both addition and general multiplication at the same time, in R(m). For all moduli, FA-based AU(m)'s are shown to execute much faster and have much less hardware complexity and smaller time-complexity products than ROM-based AU(m)'s. For large values of m, they are also shown to be less complex and have smaller time-complexity products than ROM-based units, which are capable of performing multiplication only by a constant. Since the proposed units use full adders as the basic building block, they result in easy-to-design, modular, and regular VLSI implementations.
Several important problems in signalprocessing, such as linear prediction, linear regression, or spectrum factorization, need close-to-Toeplitz matrices to be factored. To solve these problems, several fast algorithm...
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ISBN:
(纸本)0819406945
Several important problems in signalprocessing, such as linear prediction, linear regression, or spectrum factorization, need close-to-Toeplitz matrices to be factored. To solve these problems, several fast algorithms have been derived. They differ by the kind of adaptivity (block processing or exponential weighting of the data) and by the kind of recursion (order or time recursion), but they all have a common vector ladder recursion, involving an hyperbolic rotation. These algorithms are therefore well suited for implementation on an array processor. But there exists a number of applications where an efficient parallel implementation of these algorithms on a DSP network would be very attractive. The redundancy suppression, which is performed in the equations to get a fast algorithm, destroys the processing regularity of the corresponding standard algorithms, which prevents efficient high level parallel implementation. Auxiliary quantities, such as generalized reflections coefficients, are introduced that don't have the same dimensions as primary quantities. As a result there is a loss of efficiency in such tasks processing, and this leads to use array partitioning in as many sub-arrays as the number of DSPs available. If the number m of DSPs is low compared to primary quantities of dimension p (m << p/m) (i.e. a low level parallelism) and if the dimension a of reflection coefficients is also low ((alpha) << p/m), the global efficiency of a parallel implementation on a DSP network may still be interesting, with in addition, the advantages associated to such a network : simple design, simple control. To illustrate this, an application of the method to a Fast Recursive Least Squares algorithm is presented.
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 calculate the instantaneous frequency at a fixed position of a propagating pulse in the asymptotic regime. We also discuss the multimode case and relate it to the concept of instantaneous bandwidth.
ISBN:
(纸本)0819425842
We calculate the instantaneous frequency at a fixed position of a propagating pulse in the asymptotic regime. We also discuss the multimode case and relate it to the concept of instantaneous bandwidth.
This paper presents, Index Mapping, a technique to efficiently map a widely used class of digital signalprocessingalgorithms onto a space/time paradigm with immediate representation as the partitioning and schedulin...
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ISBN:
(纸本)0819425842
This paper presents, Index Mapping, a technique to efficiently map a widely used class of digital signalprocessingalgorithms onto a space/time paradigm with immediate representation as the partitioning and scheduling map of a small, I/O efficient, hardware array. When applied to reconfigurable FPGA based hardware architectures with downstream Sea-of-Gates optimization methods, the resulting systems form a dynamic signalprocessing environment with the best mix of performance and flexibility for wireless applications. Herein, Index Mapping is demonstrated with a mapping of the Fast Fourier Transform (FFT) onto an FPGA computing machine, the ReConfigurable Processor (RCP).
Implementing Jacobi algorithms in parallel VLSI processor arrays is a non-trivial task, in particular when the algorithms are parametrized with respect to size and the architectures are parametrized with respect to sp...
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ISBN:
(纸本)0819412767
Implementing Jacobi algorithms in parallel VLSI processor arrays is a non-trivial task, in particular when the algorithms are parametrized with respect to size and the architectures are parametrized with respect to space-time trade-offs. The paper is concerned with an approach to implement several time-adaptive Jacobi-type algorithms on a parallel processor array, using only Cordic arithmetic and asynchronous communications, such that any degree of parallelism, ranging from single-processor up to full-size array implementation, is supported by a `universal' processing unit. This result is attributed to a gracious interplay between algorithmic and architectural engineering.
Impulsive transient signals have been difficult to characterize and classify using traditional signalprocessing methods. We show that time-frequency distributions can effectively characterize the transient response o...
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ISBN:
(纸本)0819425842
Impulsive transient signals have been difficult to characterize and classify using traditional signalprocessing methods. We show that time-frequency distributions can effectively characterize the transient response of an acoustical cavity. Class-dependent kernels developed from time-frequency distributions are used to successfully classify the impulsive transients.
Estimation and tracking of the instantaneous amplitudes and frequencies of superimposed, slowly varying narrowband signals is a difficult signalprocessing problem that shows up in many applications. Our approach to t...
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ISBN:
(纸本)0819406945
Estimation and tracking of the instantaneous amplitudes and frequencies of superimposed, slowly varying narrowband signals is a difficult signalprocessing problem that shows up in many applications. Our approach to this problem is to achieve global noise averaging via SVD-based rank reduction of a matrix constructed from the entire data record. Compared to methods that use local noise averaging using many smaller matrices, the strength of the new approach is in affecting better noise reduction at a lower computational cost. Moreover, no model is needed for the variation of the amplitudes and frequencies with time. In this paper, Cramer-Rao bounds for the variance of the error in tracking the instantaneous amplitudes and frequencies (without assuming a parametric model for their variation with time) will be presented. In addition, we will also show how the algorithm can be used on sensor array data to estimate range and direction of multiple narrow-band sources.
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