Title :
Comments on "A curiosum concerning discrete time convolution" (by E.B. Hall and G.L. Wise)
Author :
Figueiras-Vidal, Anfbal R.
Author_Institution :
ETSI Telecomunicacion, Univ. Politecnica de Madrid, Spain
fDate :
6/1/1991 12:00:00 AM
Abstract :
It is stated that the necessary and sufficient conditions originally considered in the above-named work (see ibid., vol.38, no.6, p.1058-9, 1990) to get an identically zero result when convolving two nonzero absolutely summable sequences is that these sequences have nonoverlapping Fourier spectra, and that there are infinitely many nowhere zero sequences verifying this condition.<>
Keywords :
series (mathematics); spectral analysis; curiosum; discrete time convolution; necessary conditions; nonoverlapping Fourier spectra; nonzero absolutely summable sequences; nowhere zero sequences; spectral analysis; sufficient conditions; Bismuth; Convolution; Deconvolution; Filtering theory; Fourier series; Fourier transforms; Spectral shape; Speech; Sufficient conditions; Telecommunication standards;
Journal_Title :
Signal Processing, IEEE Transactions on
