Abstract
AbstractAn efficient procedure is presented for obtaining a rational function having separable denominator from a given twodimensional (2‐D) impulse response over the first quadrant. First, it is shown that the class of rational functions with separable denominator can be characterized by two 1‐D systems and the given 2‐D impulse response is expressed formally in terms of those of two 1‐D systems. Next, a 1‐D rational approximation is done to each of the impulse responses of two formally 1‐D systems using first‐ and second‐order data from it and the coefficients in the numerator of 2‐D rational function are calculated such that the impulse response of the approximating 2‐D rational function coincides with the given one around the origin. Finally, it is proved that the BIBO stability of the approximating filters is always ensured for given BIBO‐stable 2‐D impulse responses.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Electronics and Communications in Japan (Part I: Communications)
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
