Fa u nk 1 det m k fa m t 1u k f n

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Unformatted text preview: ) G ( ) 1 | det | • This operation increases the sampling density by an integer factor L L 1 • 1‐D: Upsampling by inserts zero‐valued samples between each pair of adjacent samples in our input signal. Fa ((u nk )) 1 | det M | k Fa ((M t )1(u k )) f [n / L] g[ n ] 0 k Ghassan AlRegib © Georgia Tech 13 Upsampling ECE 6258 Fall 2012 • 2‐D Upsampling if n is multiple of L otherwise Ghassan AlRegib © Georgia Tech 14 Example ECE 6258 Fall 2012 • Given f [n ] f [m / K , n / L] g [ m, n ] 0 1 2 1 1 1 L L 1 1 1 2 if (m / K , n / L) is an integer vector otherwise • General upsampling Let be the upsampling matrix, L f [ L1n ] 0 Upsampling ECE 6258 Fall 2012 mn • Solving for , such that are integers L1n m n i m i j 2 2 m n j n j i 2 2 if L1n integer value otherwise Ghassan AlRegib © Georgia Tech 1 m n 2 L1n 2 1 m n 2 2 15 Ghassan AlRegib © Georgia Tech 16 4 9/11/2012 Example ECE 6258 Fall 2012 Label i j m • As in sampling a continuous signal, downsampling a discrete signal may result in aliasing. • Althou...
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This note was uploaded on 02/14/2014 for the course ECE 6258 taught by Professor Staff during the Fall '08 term at Georgia Tech.

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