Properties of LTI system and impulse response function

LTI system have 3 properties: Memory, Causality, and Stability.

Memoryless LTI system: A system when output at anytime depends only on the value of the input at that time. Only impulse response function can tell properties of system( Can only involve involve values of input a*t=t).

Memory when it is past it is causal and when it is future it is not causal

Causal system: y(t-t0) does not depend on x(t). To be future the t has to be greater than t initial.

Stability is when a system stable if every bounded input produces bounded output (BIBO). Therefore the system is stable when integration is less that infinity.

Examples and Practice Problems
Examples and some practice problems

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