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  • 1
    Electronic Resource
    Electronic Resource
    CAS-CAS transform for 2-D signals: A few applications (1991)
    Springer
    Circuits, systems and signal processing 10 (1991), S. 163-173 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract A few applications of a separable Hartley-like (CAS-CAS) transform in two-dimensional (2-D) signal processing is presented. The applications discussed include (i) the interpolation of signals, (ii) the computation of Hilbert transform, and (iii) the complex cepstrum computation. The computational advantage of the proposed methods over the algorithms using 2-D FFT are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01183769
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Recursive-in-order least-squares parameter estimation algorithm for 2-D noncausal Gaussian Markov random field model (1995)
    Springer
    Circuits, systems and signal processing 14 (1995), S. 87-110 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract We present in this paper a recursive-in-order least-squares (LS) algorithm to compute efficiently the parameters of a 2-D Gaussian Markov random field (GMRF) model. The algorithm is based on the fact that the least-squares estimation of the parameters of a 2-D noncausal GMRF model is consistent and the coefficient matrix in the normal equation has near-to-block-Toeplitz structure. Hence, it has a Levinson-like form for the updating of model parameters by introducing auxiliary variables. Moreover, this paper proposes the concept ofrecursive path for 2-D recursive-in-order algorithms, and points out that there exists a tradeoff between fast computation of the parameters and accurate choice of model support; a compromise recursive path is then suggested where the orders change alternately in two directions. The computational complexity of the developed algorithm is analyzed, and the results show that the algorithm is more efficient when either the image size or the model support is larger. It is found that the total number of multiplications (mps) involved in the new algorithm is only about 14% of that in the conventional LS method when the image size is 512 × 512 and the neighbor set of the model is a 17 × 17 window. Computer simulation results using the recursive-in-order algorithm developed in this paper and the conventional LS method are given to verify the correctness of the new algorithm.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01183750
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Approximation of 2-D analog and digital transfer functions using doubly terminated cascade-separable network properties (1983)
    Springer
    Circuits, systems and signal processing 2 (1983), S. 445-467 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract This paper considers certain useful approximations which can be obtained by doubly terminated two-variable cascade-separable networks. Since such networks can be transformed into 2-D wave digital filters, these approximations provide useful magnitude responses in the 2-D digital domain, also. Two approximation methods are discussed, and these can produce near quadrantal symmetry.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01599164
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Symmetry relations in multidimensional Fourier transform pairs (1984)
    Springer
    Circuits, systems and signal processing 3 (1984), S. 477-491 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract A relation between the types of symmetries that exist in signal and Fourier transform domain representations is derived for continuous as well as discrete domain signals. The symmetry is expressed by a set of parameters, and the relations derived in this paper will help to find the parameters of a symmetry in the signal or transform domain resulting from a given symmetry in the transform or signal domain respectively. A duality among the relations governing the conversion of the parameters of symmetry in the two domains is also brought to light. The application of the relations is illustrated by a number of two-dimensional examples.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01599172
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Modified design of high-order 1-D all-pass recursive digital filters (1989)
    Springer
    Circuits, systems and signal processing 8 (1989), S. 445-453 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract An optimization method is proposed for the design of high-order all-pass delay equalizers for a prescribed group-delay characteristic by using the cascade form realization of digital filters. Unlike other methods, in the proposed method stability is guaranteed by imposing certain mild constraints on the filter coefficients so that the unconstrained optimization technique of Fletcher and Powell is used. To reduce the function minimization time, design values of the parameters of the delay equalizers, obtained by Bernhardt's simplified method, are used as the initial vector in the optimization technique of the proposed method. It is shown that the proposed method for the design of optimal delay equalizers results in all classes of equalizers with real and complex poles and approximates the prescribed group delay more accurately.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01599766
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Signal processing based on parameter structural modeling and separation of highly correlated signals of known structure (1998)
    Springer
    Circuits, systems and signal processing 17 (1998), S. 51-68 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract Results in the study of signal processing based on the use of parameter structural modeling (PSM) are presented. First, we introduce a special form of time-series modeling based on signal-dependent building blocks. Such modeling is used in the design of a nestedform transversal structure, known as a composite filter, based on a shift-invariant finite impulse resonse (FIR) as well as infinite impulse response (IIR) building blocks. The newly proposed composite PSM model (CPSM) possesses a unique feature, namely, its ability to suppress one signal of a given structure, while at the same time being ideally transparent to another one. The intrinsic property of this proposed CPSM is its enhanced insensitivity with respect to noise as well as its ability to fast track, in contrast to the commonly used linear line-enhancer based on conventional autoregressive moving average (ARMA), thus leading to a more practically sound processing of short-duration signals. It is shown that the proposed time-series modeling based on CPSM can be effectively applied towards the separation of superimposed signals of heavily overlapping spectra. Next, the parameter-invariant nonlinear structural signal representation based on shift-invariant CPSM is presented. The use of this model in the design of annihilation operators (AO) is described, and composite parameter-free structural modeling (CPFSM) is developed. Based on this model, two canonical forms of the parameter-invariant null filters (PINF) are presented, and their use in the suppression of a given class of signals, independently of the values of theira priori unknown parameters, is illustrated. The paper also presents some simulation examples illustrating the application of the proposed CPSM and CPFSM in solving problems of detection and parameter estimation in the presence of highly non-Gaussian, mainly signal-like interferences.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01213969
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    Paper (German National Licenses)
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