Discrete polynomial transform representation using binary matrices and flow diagrams
Publication Date
2001
Conference/Sponsorship/Institution
Acoustics, Speech and Signal Processing; 2001 IEEE International Conference
Description
This paper presents a new method for computing discrete polynomial transforms. The method is shown for the Hermite, binomial, and Laguerre transforms. The new method factors Pascal’s matrix into binary matrices. Constructing the flow diagrams for the transform matrices requires only additions and N-2 multipliers for N-point Hermite and binomial transforms, and 2N multipliers for an N-point Laguerre transform. The method involves a three-stage process where stages 1 and 3 are identical for all three transforms.
Type
Conference Paper
Department
Electrical Engineering
Link to published version
Recommended Citation
Aburdene, Maurice F., "Discrete polynomial transform representation using binary matrices and flow diagrams" (2001). Faculty Conference Papers and Presentations. 37.
https://digitalcommons.bucknell.edu/fac_conf/37