Linear, Time Invariant (LTI) Systems

This video is about what it means for a system to be linear and time invariant. For each of the two properties, I first discuss the meaning, then show a pictorial example, and finish with a mathematical example. Table of contents below.

00:00 - Introduction
00:32 - System representation
01:04 - Definition of linearity
02:48 - Pictorial example of linearity
10:58 - Mathematical example of linearity
14:52 - Definition of time invariance
16:19 - Pictorial example of time invariance
18:43 - Mathematical example of time invariance
21:52 - Conclusion

[GiveForaSmile]

Great video. Thanks for the explanation. Now I understand all mumbo jumbo professors speak in class.

[buggydama]

Man, do you know why when we subtract like this [n - n0] it`s right shift and not left shift?

*It really seems counter intuitive to me, since X-axis goes minor to left and bigger to right.

[ccaygen]

how can we just say k=m at the end where we have previously said m = k-no shouldn't k be m+no and thus k=-inf to n-no sigma x[k+no]?

[omanistudies]

i have some questions related to DSP, can i communicate with you through email??

[miab]

This video is unnecessarily complicated for no reason. This example could have been explained better with X1[n] y1[n] and x1[n-t]->y1[n-t]. There is no need for x3 at all. Also the concept of introducing the new variable M is pointless and confusion inducing. Please just take this as a feedback, because your teaching style is good unless you over complicate things and add unnecessary components.