Summary

• Linear, time-invariant systems form an important class of systems.
• The operations performed by linear, time-invariant systems include scaling, differentiation, integration, and convolution.
• We will see, that if the input to a linear, time-invariant system is a sinusoid then the output of the system is a sinusoid of the same frequency.
• Therefore, sinusoids are eigenfunctions of linear, time-invariant systems.