Abstract
In this paper a method is presented for the generation of 1-variable HP using the properties of the positive definite and positive semi-definite matrices. We have also presented a method for the design of 2-D recursive digital filter with separable denominator transfer function and octagonal symmetry satisfying a prescribed magnitude and group-delay specifications. The method consists of two steps. In the first step the two 1-D all pole filter is used to approximate the group-delay and magnitude responses along ω 1−ω 2 axis while in the second step the numerator coefficients are used to approximate the overall magnitude response.
This method is very efficient and is very easy to implement. The usefullness of the technique is illustrated by example.
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References
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© 1989 Springer-Verlag
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Ahmadi, M., Lee, H.J.J., Shridhar, M., Ramachandran, V. (1989). An efficient algorithm for the design of circular symmetric linear phase recursive digital filters with separable denominator transfer function. In: Porter, W.A., Kak, S.C. (eds) Advances in Communications and Signal Processing. Lecture Notes in Control and Information Sciences, vol 129. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0042733
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DOI: https://doi.org/10.1007/BFb0042733
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