A convolution with a shifted impulse shifts the original function:
We can show it using the definition of convolution:
This property is useful for analyzing linear time-invariant systems, where the impulse response fully characterizes the system.
A convolution with a shifted impulse shifts the original function:
We can show it using the definition of convolution:
This property is useful for analyzing linear time-invariant systems, where the impulse response fully characterizes the system.