Pascal-Interpolation-Based Noninteger Delay Filter and Low-Complexity Realization

• Main Authors: P. Soontornwong, S. Chivapreecha
• Format: Article
• Language: English
• Published: Spolecnost pro radioelektronicke inzenyrstvi 2015-12-01
• Series: Radioengineering
• Subjects: Low-complexity filter structure; noninteger-delay filter; discrete Pascal transform (DPT); polynomial-interpolation-type delay filter; Pascal noninteger-delay filter
• Online Access: http://www.radioeng.cz/fulltexts/2015/15_04_1002_1012.pdf

This paper proposes a new method for designing the polynomial-interpolation-type noninteger-delay filter with a new structure formulation. Since the design formulation and the new realization structure are based on the discrete Pascal transform (DPT) and Pascal interpolation, we call the resulting filter Pascal noninteger-delay filter. The kth-order Pascal polynomial is used to pass through the given (k+1) data points in achieving the kth-order Pascal filter. The Pascal noninteger-delay filter is a real-time filter that consists of two sections, which can be realized into the front-section and the back-section. The front-section contains multiplication-free digital filters, and the number of multiplications in the back-section just linearly increases as order becomes high. Since the new Pascal filter has low complexity and structure can adjust non-integer delay online, it is more suited for fast delay tuning. Consequently, the polynomial-interpolation-type delay filter can be achieved by using the Pascal approach with high efficiency and low-complexity structure.