Howtosignalprocessing
- Is Cos an eigen function?
- What is an eigen signal?
- Is sine an eigenfunction?
- Which of the following can be the eigen signal of an LTI system?
Is Cos an eigen function?
The function cos(ax) is also an eigenfunction of d2dx2. However, the function c1eax+c2cos(ax) is not.
What is an eigen signal?
In the study of signals and systems, an eigenfunction of a system is a signal f(t) that, when input into the system, produces a response y(t) = λf(t), where λ is a complex scalar eigenvalue.
Is sine an eigenfunction?
That means the function sin(kx) is an eigenfunction of the KE operator right? Yes, you understand that it's an eigenfunction.
Which of the following can be the eigen signal of an LTI system?
Which of the following can be the eigen signal of an LTI system? Hence, the second derivative operator being linear and time-invariant, t→cos2t is an eigen signal with eigenvalue −4. Even-order derivatives would work as well.
