lecture 3

# lecture 3 - EE 3120 Linear Systems Analysis Lecture 3...

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EE 3120 Linear Systems Analysis Lecture 3 Elementary discrete-time signals and their manipulation (, ) −∞∞ sampling f(t) with sampling period T > 0 f(t) analog signal for t in gives a discrete time (D-T) signal () f kT , where k is an integer ranging from −∞ [] : ( ) f kf k T = Define: assumes T = 1 . to f kT is a sequence of numbers D-T signals are also called sequences. for k < 0 [] 0 fk = Positive time sequences Negative time sequences for k > 0 =

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EE 3120 Linear Systems Analysis Lecture 3 Elementary discrete-time signals and their manipulation [] 1 fk = is a two sided sequence, the discrete counterpart of the constant function 0 [] 1 k ∂= Impulse sequence Æ Kronecker delta sequence 0 0 k k = k k ki = if i is a fixed integer ; ∂− k shifts to = 0 1 ∂−=
EE 3120 Linear Systems Analysis Lecture 3 Elementary discrete-time signals and their manipulation Impulse Sequence Æ Could be samples of an analog signal [2 ] 4 f −= [1 ] 0 f [0] 2 f = [1] 0 f = [2] 5 f = − [3] 1 f = [] 4[ 2 ] 2[] 5[ 2 ] [ 3 ] fk k k k k =∂ + +∂ −∂ − + ∂ − [] [][ ] i fi

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## This note was uploaded on 02/06/2012 for the course EE 2120 taught by Professor Aravena during the Fall '08 term at LSU.

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lecture 3 - EE 3120 Linear Systems Analysis Lecture 3...

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