@article{(Open Science Index):https://publications.waset.org/pdf/16758,
	  title     = {The Statistical Properties of Filtered Signals},
	  author    = {Ephraim Gower and  Thato Tsalaile and  Monageng Kgwadi and  Malcolm Hawksford.},
	  country	= {},
	  institution	= {},
	  abstract     = {In this paper, the statistical properties of filtered or convolved signals are considered by deriving the resulting density functions as well as the exact mean and variance expressions given a prior knowledge about the statistics of the individual signals in the filtering or convolution process. It is shown that the density function after linear convolution is a mixture density, where the number of density components is equal to the number of observations of the shortest signal. For circular convolution, the observed samples are characterized by a single density function, which is a sum of products.
},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {7},
	  number    = {5},
	  year      = {2013},
	  pages     = {875 - 878},
	  ee        = {https://publications.waset.org/pdf/16758},
	  url   	= {https://publications.waset.org/vol/77},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 77, 2013},
	}