Abstract
This paper presents a new set of sufficient conditions on complex poles and zeros to ensure the non-negativity of the impulse response of an arbitrary-order discrete-time system. Different from previous work, this set of sufficient conditions expose an interesting geometric pole-zero pattern - poles and zeros are evenly distributed on different concentric circles centered at origin. By controlling the number of poles/zeros on each circle and using pole-zero cancellation to de-regularize the pole-zero distribution, the class of pole-zero patterns known to exhibit a non-negative impulse response (NNIR) are significantly expanded. And this set of sufficient conditions can be easily employed for designing NNIR filters.
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 callDisclaimer: 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.
