Time shifting and scaling

Signal time shifting and scaling are key operations in signal processing:

Time Shifting moves a signal forward or backward in time: - ( x(t) \rightarrow x(t - t_0) ) - Shifting right (( t_0 > 0 )) delays the signal. - Shifting left (( t_0 < 0 )) advances the signal.

Time Scaling changes the speed at which a signal occurs: - ( x(t) \rightarrow x(at) ) - ( a > 1 ): compresses the signal, making it faster. - ( 0 < a < 1 ): stretches the signal, making it slower.

Time shifting affects when a signal occurs, while time scaling alters how quickly it happens, impacting its frequency characteristics.

Shift & Scale Sim

Run the Shift and scale MicroSim