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  • 1
    Electronic Resource
    Electronic Resource
    Formation of the block toeplitz matrix for two-dimensional PLSI Polynomials (1987)
    Springer
    Circuits, systems and signal processing 6 (1987), S. 449-456 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract The planar least-squares inverse (PLSI) polynomials are used for stabilization of two-dimensional unstable recursive filters. In order to obtain the PLSI polynomials, the main work involved consists in forming a set of linear equations and then solving them. In this paper we present an efficient and simple method to form the necessary set of linear equations (i.e., the required coefficient matrix) for a chosen pattern and order of the desired PLSI polynomial, starting from the denominator polynomial of a two-dimensional unstable recursive filter.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01600234
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Implementation of 2-D denominator-separable digital filters using first-order all-pass sections (1993)
    Springer
    Multidimensional systems and signal processing 4 (1993), S. 285-294 
    Details
    ISSN: 1573-0824
    Keywords: 2-D digital filters ; implementation ; all-pass expansion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract It is established that denominator-separable transfer functions which characterize an important subclass of 2-D filters can be expressed as a linear combination of first-order (1-D or 2-D separable) all-pass transfer functions with real or complex coefficients. This type of expansion is referred to as all-pass expansion of the corresponding transfer function. Based on this all-pass expansion, we derive some efficient structures for the realization of 2-D denominator-separable filters using all-pass sections.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00985893
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Realization of 2-D denominator-separable digital filter transfer functions using complex arithmetic (1991)
    Springer
    Multidimensional systems and signal processing 2 (1991), S. 319-336 
    Details
    ISSN: 1573-0824
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract In this paper the problem of realizing 2-D denominator-separable digital filter transfer functions is considered for processing of real sequences. The approach is based on expressing the given 2-D transfer function as a sum of two reduced-order rational transfer functions with complex coefficients. New structures are obtained for equivalent reduced-order, complex-coefficient, 2-D transfer functions. All the realizations are basically parallelform structures with minimum-norm, low round-off noise and freedom from overflow limit cycles. A comparison of the different structures is also made.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01952238
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    Paper (German National Licenses)
    Fulltext
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