Title :
Sinusoidal and pulse responses of morphological filters
Author :
Neejärvi, Jukka ; Neuvo, Yrjö
Author_Institution :
Signal Process Lab., Tampere Univ. of Technol., Finland
Abstract :
The amplitude and phase responses of 1-D morphological filters to sinusoidal input signals are analyzed. The studied filters are dilation, erosion, opening, closing, and also open-closing and close-opening. The power spectral density of the filters is also analyzed for i.i.d. (independently identically distributed) Gaussian noise input. Rectangular pulse responses and root signals are discussed and responses to noisy edges are shown. It is shown that the opening filter has wider passband than the other morphological filters studied, and the open-closing filter behaves more consistently in the stopband than the corresponding median-based filters. The effect of the relative phase of the input signal is analyzed. The phase shift is found to change the amplitude response only at some discrete frequencies
Keywords :
digital filters; filtering and prediction theory; 1-D morphological filters; amplitude response; independently identically distributed Gaussian noise input; median-based filters; morphological filters; open-closing filter; phase responses; phase shift; power spectral density; rectangular pulse response; root signals; sinusoidal input signals; Filtering; Filters; Gaussian noise; Laboratories; Morphological operations; Morphology; Samarium; Shape; Signal analysis; Signal processing;
Conference_Titel :
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location :
New Orleans, LA
DOI :
10.1109/ISCAS.1990.112240
