05IR&FRF

05IR&FRF - Impulse response and FRF Delta Function: t =...

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Impulse response and FRF Delta Function : Properties: , , δ () t t t = ∞= 0 00 td t = −∞ 1 xt t t d t () ( ) ( ) −= Fourier transform: π te d t fo ra l lf jf t = 2 1 Inverse Fourier transform : ed f t t 2 = Impulse Response Function of a linear system : ht Convolution integral : yt h d ( ) ( ) =− ττ τ Causal (Physically realizable) function : h for = < Stability condition : hd <∞ Frequency Response Function : Hf h e d = πτ 2 H f jH f Hf e RI =− = φ Gain factor : =+ 22 Phase factor : = ) ( ) ( tan ) ( 1 f H f H f R I Convolution : Yf
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This note was uploaded on 11/21/2009 for the course ME . taught by Professor . during the Spring '09 term at Korea University.

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