On the Pascal Transform and Threshold Selection
Document Type
Article
Source Publication
Forty-first Annual Conference on Information Sciences and Systems, CISS 2007 - Proceedings
Link to Published Version
Publication Date
3-2007
First Page
524
Last Page
529
Department
Electrical Engineering
Description
The Pascal transform has been introduced recently and it has applications in signal processing and image processing. Applications of the Pascal transform to edge or bump detection often require processing of noisy signals. Since noise can seriously distort the values of the signal transform coefficients, it is important to understand the effects of noise on the Pascal transform of a signal. We focus on evaluating the mean square of the transform coefficients of Gaussian noise and the magnitude of the transform coefficients of the noise. An analytical expression is found for mean square of the transform coefficients of zero mean Gaussian noise. Simulation results are presented for the magnitude of the Pascal transform coefficients of the noise from which models are developed for predicting the magnitude of the transform coefficients. We also present an approach for selecting a threshold to determine a bump using the Pascal transform. ©2007 IEEE.
Recommended Citation
Goodman, T.J. and Aburdene, Maurice, "On the Pascal Transform and Threshold Selection" (2007). Faculty Contributions to Books. 122.
https://digitalcommons.bucknell.edu/fac_books/122