CTFT modulation

Created

Created

2023 Sep 26 4:12

Creator

Creator

Editor

Editor

Edited

Edited

2023 Sep 27 2:11

Refs

Refs

if a continuous-time function

x(t)

is multiplied by

cosw_0t

, then its frequency spectrum gets translated up and down in frequency by

w_0

. Therefore, if

x(t)\xleftrightarrow{FT}X(w)

Then, according to the modulation property of CTFT

x(t)cosw_0t \xleftrightarrow{FT} \frac{1}{2}(X(w - w_0) + X(w + w_0))

Implementation

The information signal is modulated onto the carrier wave

filtering out unwanted frequencies

compression algorithms to reduce the amount of data needed to represent a signal

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