13.9 : 신호에 대한 기본 연산

Basic signal operations are time reversal, scaling, shifting, and amplitude transformations.

Time reversal mirrors a continuous-time signal about the vertical axis at time equals zero, achieved by substituting 't' with negative 't'. For a considered signal, the results are shown graphically.

Time scaling compresses or expands a signal in time by replacing 't' with 'at', where 'a' is constant. If the magnitude of this constant is greater than 1, the signal compresses; if it's less than 1, it expands.

A negative value of this constant induces both time reversal and compression or expansion. This can be graphically represented using the considered signal.

Time shifting of a continuous-time signal is done by replacing 't' with 't − t₀', where 't₀' is constant. A positive constant delays and shifts the signal right from the origin, while a negative one advances the signal and shifts it left.

Amplitude transformations of a continuous-time signal take the general form where 'A' and 'B' are constants. The graph shows an amplitude transformation of an exemplified signal.