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CT⊃DT. DTFT. CTFT. non-periodic ⊃ periodic. CTFS. CTFT. (Impulse train) (Impulse train). Fourier said, “ 모든 주기함수는 기본적인 주기함수의 weighted sum 으로 표시할 수 있다 . “. weight. 기본적인 주기함수. CTFS. CTFS. CTFT. DTFT. modulation. ~. ~. ~. CTFT. 1kHz. -1kHz. CTFT. CTFT. De-modulation. ~.
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CT⊃DT DTFT CTFT
non-periodic ⊃ periodic CTFS CTFT
(Impulse train) (Impulse train) Fourier said, “모든주기함수는 기본적인 주기함수의 weightedsum으로 표시할 수 있다. “ weight 기본적인 주기함수 CTFS CTFS CTFT DTFT
modulation ~ ~ ~ CTFT 1kHz -1kHz CTFT CTFT
De-modulation ~ ~ ~ LPF CTFT 1kHz -1kHz CTFT 2 A/2 CTFT A/4 fc
sampling CTFT 1kHz -1kHz CTFT 2kHz sampling CTFT 8kHz sampling CTFT
Up-sampling 2kHz sampling CTFT Zero padding DTFT LPF 8kHz sampling DTFT
Down-sampling 8kHz sampling DTFT DTFT 2kHz sampling DTFT
DA(digital to analog) 2kHz sampling DTFT CTFT CTFT CTFT 1kHz -1kHz
Practical (not ideal)DA conversion 0-th order hold sinc CTFT 1 ho(t) 0 Ts CTFT 1-st order hold 1 h1(t) (sinc)2 t 0 Ts 2Ts t CTFT
X2 y[n]=x[n]+x[n-1] X1 y[n]=x[n]+x[n-1] X2 y[n]=x[n]+x[n-1] X1