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  • 1
    Electronic Resource
    Electronic Resource
    Rate distortion function for nth-order Gaussian Markov process (1993)
    Springer
    Circuits, systems and signal processing 12 (1993), S. 567-578 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract The foundations of information theory as a whole, and the rate distortion theory in particular, were ably laid by Shannon in 1948. The rate distortion function R(D) is defined as the effective rate (R) at which the source produces information subject to the constraint that the user can tolerate an average distortion of D. The rate distortion functions for Gaussian Markov Processes were studied by Berger [1] and Bunin [2] for small distortion values. This paper presents the generalization of this study fornth-order Gaussian Markov processes for all distortion levels from 0 toσ 2. The function is first derived, computer simulated, and then calculated for first and second order cases, and the corresponding results are commented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01188095
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Digital image coding using legendre transform (1994)
    Springer
    Circuits, systems and signal processing 13 (1994), S. 3-18 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract Image coding can be implemented through DPCM, transform, hybrid, or segmentation coding techniques. Some transform coding techniques, such as cosine and Hadamard, have been exhaustively analyzed and evaluated, while others, such as Legendre, have not. This paper introduces the use of Legendre transform in image coding. The transform matrix for different block sizes is calculated, the fast algorithm is derived, and the performance is evaluated through both mean square error and subjective quality. The results obtained have indicated that the system performance is comparable with that of optimum KLT and cosine transforms; moreover, it is simpler in implementation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01183838
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    Paper (German National Licenses)
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