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Lect #2 - Time Domain Analysis of LTI Systems (Systems Classification…
Lect #2 - Time Domain Analysis of LTI Systems
Systems Classification given input- output relationship, y=T{x(n)}
Memoryless
Causal
Linearity
Time-invariant
Stability
Convolution Sum
Finite Length Sequence
Tabular method / analytical method
Infinite Length Sequence
Direct Method
2 right-sided sequence starting at origin. Limit of int from 0 to n
One right-sided & one finite length signal. Sketch the graph to get the LIMIT and RANGE of n over which the limit is true
Systems Classification given impulse response
Causal
Stable
Interconnection Systems
Parallel connection
cascaded connection
Impulse Response, h(t)
Uniquely described LTI systems
h(t) <-> differential equation <-> Laplace domain,
h(n) <-> difference equation <-> z-transform domain
Convolution Integral
2 right-sided signals starting at origin. Limit of int from 0 to t
One right-sided & one finite length signal. Sketch the graph to get the LIMIT and RANGE of t over which the limit is true