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IMPLEMENTATION OF DIGITAL FILTERING ALGORITHMS USING PIPELINED VECTOR PROCESSORS

PROCEEDINGS OF THE IEEE 1987年第9期75卷 1293-1303页

作者： SUNG, W MITRA, SK Signal Processing Laboratory Department of Electrical and Computer Engineering University of California Santa Barbara CA USA

The implementation of digital filtering algorithms using pipelined vector processors is investigated. Modeling of vector processors and vectorization methods are explained, and then the performances of several implementation methods are evaluated based on the model. Vector processor implementation of FIR filtering algorithms using the outer product method and the indirect convolution method is evaluated. Recursive and adaptive filtering algorithms, which lead to dependency problems in direct vector processor implementations, are implemented very efficiently using a newly developed vectorization method. The proposed method computes multiple output samples at a time, making the vector length independent of the filter order. Illustrative examples comparing theoretical results with Cray X-MP simulation results are included.

关键词： Filtering algorithms Vector processors Signal processing algorithms Finite impulse response filter Adaptive filters Supercomputers Computational modeling Multidimensional signal processing Signal processing Pipeline processing

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PHASE RECONSTRUCTION IN THE TRISPECTRUM DOMAIN

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IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL processing 1987年第6期35卷 895-897页

作者： PAN, R NIKIAS, CL Communications and Digital Signal Processing Laboratory Department of Electrical and Computer Engineering Northeastern University Boston MA USA

The phase reconstruction problem in the trispectrum domain is addressed in this correspondence. In particular, three different reconstruction algorithms are discussed and their performance is evaluated. The first two ... 详细信息

关键词： Radar detection Reconstruction algorithms Clutter Signal processing algorithms Equations Nonlinear filters Detectors Data processing Signal processing Recursive estimation

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A CLASS OF MAGNITUDE COMPLEMENTARY LOUDSPEAKER CROSSOVERS

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IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL processing 1987年第11期35卷 1509-1516页

作者： REGALIA, PA MITRA, SK Signal Processing Laboratory Department of Electrical and Computer Engineering University of California Santa Barbara CA USA

Necessary and sufficient conditions are developed for a pair of transfer functions to have magnitude responses which sum to a constant. If, in addition, the transfer function pair is constrained to be all-pass complementary, the transfer function pair so obtained is well suited for loudspeaker crossover applications. Such crossover systems are characterized by a pair of transfer functions which exhibit the same phase angle at all frequencies. This property has twofold implications: i) in active crossover biamplified audio systems, whereby the low frequencies and high frequencies are reproduced using separate power amplifiers, in-phase crossover transfer functions require less power in subsequent amplifier stages than other designs to achieve a given acoustic sound pressure level; and ii) the summed acoustic magnitude response is least sensitive to noncoincidental mounting of the low- and high-frequency transducers when the crossover transfer functions exhibit the same phase angle at all frequencies. The class of transfer functions realizable is quite wide, and includes squared versions of Butterworth, Chebyshev, and elliptic transfer functions of all orders.

关键词： Loudspeakers Transfer functions Frequency Delay Acoustic distortion High power amplifiers Chebyshev approximation Filters Phase distortion Ear

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REAL-VALUED FAST FOURIER-TRANSFORM ALGORITHMS

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IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL processing 1987年第6期35卷 849-863页

作者： SORENSEN, HV JONES, DL HEIDEMAN, MT BURRUS, CS Department of Electrical and Computer Engineering Rice University Houston TX USA Digital Image Processing Laboratory Lockheed Missiles and Space Company Incorporated Palo Alto CA USA

This tutorial paper describes the methods for constructing fast algorithms for the computation of the discrete Fourier transform (DFT) of a real-valued series. The application of these ideas to all the major fast Fourier transform (FFT) algorithms is discussed, and the various algorithms are compared. We present a new implementation of the real-valued split-radix FFT, an algorithm that uses fewer operations than any other real-valued power-of-2-length FFT. We also compare the performance of inherently real-valued transform algorithms such as the fast Hartley transform (FHT) and the fast cosine transform (FCT) to real-valued FFT algorithms for the computation of power spectra and cyclic convolutions. Comparisons of these techniques reveal that the alternative techniques always require more additions than a method based on a real-valued FFT algorithm and result in computer code of equal or greater length and complexity.

关键词： Fast Fourier transforms Discrete Fourier transforms Signal processing algorithms Convolutional codes Discrete transforms Application software Algorithm design and analysis NASA Digital images

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MULTIDIMENSIONAL INVERSE SCATTERING - AN ORTHOGONALIZATION FORMULATION

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JOURNAL OF MATHEMATICAL PHYSICS 1987年第7期28卷 1481-1491页

作者： YAGLE, AE Communications and Signal Processing Laboratory Department of Electrical Engineering and Computer Science The University of Michigan Ann Arbor Michigan 48109

The three‐dimensional Schr?dinger equationinverse scattering problem is solved using an orthogonalization approach. The plane waves propagating in free space are orthogonalized with respect to an inner product defined in terms of a Jost operator. The resulting integral equation is identical to the generalized Gel’fand–Levitan equation of Newton, although the present derivation is simpler and more physical than that of Newton. Newton’s generalized Marchenko equation is derived from the defining integral equation for the Jost operator. These integral equations are shown to be solved by fast algorithms derived directly from the properties of their solutions. This paper thus presents a simple interpretation of Newton’s two integral equations, two fast algorithms for solving these integral equations, and relations between the various approaches. This is a generalization of previously obtained results, which are also reviewed here, for the one‐dimensional inverse scattering problem.

关键词： Integral equations Inverse scattering Orthogonalization Operator equations

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Nonminimum phase system identification via cepstrum modeling of higher-order cumulants

Nonminimum phase system identification via cepstrum modeling...

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International Conference on Acoustics, Speech, and Signal processing (ICASSP)

作者： C. Nikias Renlong Pan Communications and Digital Signal Processing Laboratory Department of Electrical and Computer Engineering Northeastern University Boston MA USA

A new computationally efficient identification procedure is proposed for a non-Gaussian white noise driven linear, time-invariant, non-minimum phase system. The method is based on the idea of computing the complex cepstrum of higher-order cumulants of the system output. In particular, the differential cepstrum parameters of the system's impulse response are computed directly from higher-order cumulants via least-squares solution. The method is flexible enough to reconstruct the minimum and maximum phase components of the impulse response of MA, AR or ARMA systems without any prior knowledge of the type of the system. It does not require model order selection criteria and is shown to provide estimates with small bias and variance even with "short" length data records.

关键词： System identification Cepstrum White noise Transfer functions Digital signal processing Laboratories Signal processing Convolution Frequency Signal reconstruction

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The multi-armed bandit problem with switching cost

The multi-armed bandit problem with switching cost

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IEEE Conference on Decision and Control

作者： R. Agrawal M. Hegde D. Teneketzis Department of Electrical Engineering and Computer ScienceCommunications and Signal Processing Laboratory University of Michigan Ann Arbor MI USA

We consider multi-armed bandit problems with switching cost, and present asymptotically optimal adaptive allocation schemes. We illustrate an optimal allocation scheme for a large class of distributions which includes... 详细信息

关键词： Cost function Optimal control Communication system control Communication switching Adaptive signal processing Laboratories Programmable control Adaptive control Resource management Statistics

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Non-casual autoregressive bispectrum estimation and deconvolution

Non-casual autoregressive bispectrum estimation and deconvol...

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International Conference on Acoustics, Speech, and Signal processing (ICASSP)

作者： C. Nikias Hsing-Hsing Chiang Communications and Digital Signal Processing Laboratory Department of Electrical and Computer Engineering Northeastern University Boston MA USA

In this paper we propose a new method for non-minimum phase wavelet estimation and deconvolution based on non-causal autoregressive (AR) modeling of third moments of the output seismic trace. The magnitude and phase response of the wavelet are expressed in terms of the parameters of the noncausal AR model. The set of the AR parameters is obtained by solving an overdetermined linear system of equations which is formed using third moment estimates of the output data. A comparison of the non-causal AR bispectrum approach against more conventional approaches for wavelet magnitude and phase reconstruction is a major component of the paper. It is demonstrated by means of standard example that the proposed procedure achieves improved performance.

关键词： Deconvolution Phase estimation Reflectivity Digital signal processing Wavelet domain Laboratories Linear systems Equations Autocorrelation Nonlinear systems

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VLSI Array processing strctures of quadratic digital filters with LMS algorithm

VLSI Array processing strctures of quadratic digital filters...

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International Conference on Acoustics, Speech, and Signal processing (ICASSP)

作者： Yuang Lou C. Nikias A. Venetsanopoulos Communications and Digital Signal Processing Laboratory Department of Electrical and Computer Engineering Northeastern University Boston MA USA Department of Electrical Engineering University of Toronto Toronto Canada

There are many significant applications of nonlinear adaptive digital filters such as the cancellation of echoes and intersymbol interference, the equalization of transmission channels, adaptive noise cancellation and design of optimal predictors in communication systems. In this paper, we introduce a class of efficient architectures for adaptive quadratic digital filters based on the LMS algorithm and on rank compressed lower-upper (LU) triangular decomposition method. The architectures exhibit high parallelism as well as modularity and regularity. They are mapped into parallel pipeline and systolic array implementations and are evaluated on hardware cost (in bits), and data throughput delay.

关键词： Very large scale integration Array signal processing Digital filters Least squares approximation Interference cancellation Intersymbol interference Adaptive equalizers Noise cancellation Pipelines Systolic arrays

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Set-membership theory applied to linear prediction analysis of speech

Set-membership theory applied to linear prediction analysis ...

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International Conference on Acoustics, Speech, and Signal processing (ICASSP)

作者： J. Deller T. Luk Digital Signal Processing Laboratory: Speech Processing Sector Department of Electrical and Computer Engineering Northeastern University Boston MA USA Baldwin Technologies Corporation Country Side IL USA

The theory of set membership (SM) identification is formulated, and applied to linear prediction (LP) analysis of speech. The LP parameters of a simulated vowel are identified as an illustration. The SM strategy resul... 详细信息

关键词： Speech analysis Samarium Speech processing Least squares methods Covariance matrix Vectors Equations Recursive estimation Digital signal processing Laboratories

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