Frequency and amplitude normalization and filter design

Abstract

A general theory of filter design for various windows and windowing as well as normalization has been presented. Several examples on design and implimentation have been worked. A critical assessment has been done on the transition bandwidth of the filter for the windows. It has been found that a power law best describes the relationship between the transition bandwidth and the parameter that determines the selectivity of the filter for each of the windows. Some characteristics have been calculated for the designed and constructed filters.

Keywords: normalization, filter design, windows and windowing

Nigerian Journal of Physics Vol. 17, 2005: 57-65