In this video, we cover system properties. The concept of memoryless, causal, stable, invertible, time-invariant and linear systems is intuitively explained. Then, mathematical definition along with some examples are provided for each property.
Learn Signal Processing 101 in 31 lectures covering time, frequency and Laplace domain in about 8 hours all together:
https://www.youtube.com/watch?v=KZd68xgasIU&list=PLJ-OcUCIty7evBmHvYRv66RcuziszpSFB
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References:
[1] Alan V. Oppenheim, Alan S. Willsky, S. Hamid Nawab, Signal & Systems, 2nd Edition, Prentice-Hall, NJ, USA, 1996.
[2] Alan V. Oppenheim, Ronald W. Schafer, Discrete-Time Signal Processing, 3rd Edition, Prentice-Hall, 2009.
[3] Michael D. Adams, Continuous-Time Signals and Systems, University of Victoria, Canada, 2013. Free textbook and lectures (courtesy of Dr. Michael Adams):
Link to the Dr. Adams' textbook: https://bit.ly/37rkwDC
Link to the Dr. Adams' lecture slides: https://bit.ly/2WrwHKy