Howtosignalprocessing
- What are eigenfunctions of LTI systems?
- What is discrete time LTI system?
- Which of the following discrete time signals could be eigenfunctions of any stable LTI system?
- Which of the following can be the eigen signal of an LTI system?
What are eigenfunctions of LTI systems?
Complex exponential signals are known as eigenfunctions of the LTI systems, as the system output to these inputs equals the input multiplied by a constant factor. Both amplitude and phase may change, but the frequency does not change.
What is discrete time LTI system?
“Discrete–time, linear, time invariant systems” refer to linear, time invariant circuits or processors that take one discrete–time input signal and produce one discrete–time output signal. Example 2 Let x[n] denote the net deposit (i.e. the sum of all deposits minus the sum of all withdrawals)
Which of the following discrete time signals could be eigenfunctions of any stable LTI system?
The sequences ej2ωn, 5n, and 5nej2ωn are of that form, hence they are eigenfunctions of any stable LTI system.
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.
