hw6-2 - ECE130B February 8, 2010 Home work 6 Cheat sheet....

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ECE130B February 8, 2010 Home work 6 Cheat sheet . You probably want to assemble most of the formulae in this home work into your cheat sheet for the mid-terms and the ±nals. Your cheat sheet can only contain formulae and properties; no proofs, or procedures, or example problems, are allowed. Convolution . The convolution of two discrete signals x [ n ] and h [ n ] is given by the formula x [ n ] * h [ n ] = s k = -∞ x [ k ] h [ n - k ] . Standard functions . Discrete delta function: δ [ n ] = b 1 , n = 0 , 0 , n 0 . Discrete unit step function: u [ n ] = b 1 , n g 0 , 0 , n < 0 . Reading . Read chapter 2 of the text book, especially the parts on discrete signals and systems. Exercise 1. Show the following properties: x [ n ] * h [ n ] = h [ n ] * x [ n ] (commutative). ( αx [ n ]) * h [ n ] = α ( x [ n ] * h [ n ]) (scaling). ( x
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hw6-2 - ECE130B February 8, 2010 Home work 6 Cheat sheet....

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