0 0 votes A continuous-time input signal $x(t)$ is an eigenfunction of an LTI system, if the output is $k \: x(t)$, where $k$ is an eigenvalue $k \: e^{j \omega t} \: x(t)$, where $k$ is an eigenvalue and $e^{j \omega t}$ is a complex exponential signal $x(t) \: e^{j \omega t}$, where $e^{j \omega t}$ is a complex exponential signal $k \: H(\omega)$, where $k$ is an eigenvalue and $H(\omega)$ is a frequency response of the system Signals and Systems gate2018-ee signals-and-systems + – Arjun 182 views answer comment Share Follow 0 reply Please log in or register to add a comment.