# Signals and Systems

Mind Map by , created almost 6 years ago

## Graduate Signals and Systems (Introduction to Signals & Systems) Mind Map on Signals and Systems, created by ramya.raj7787 on 11/14/2013.

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 Created by ramya.raj7787 almost 6 years ago
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Signals and Systems
1 Signal: A fn which contains some information or the physical variation of one quantity w.r.t. other
1.1 Continuous Time and Discrete Time
1.1.1 CT : x (t)
1.1.2 DT: x [n]
1.1.3 CT -> Sampling -> DT
1.2 Conjugate Symmetric and Conjugate Skew Symmetric
1.2.1 CS: x(t) = x*(-t); x [n] = x* [-n]
1.2.2 CSS: x(t) = -x* (-t); x [n] = -x* [-n]
1.3 Period and Non-periodic
1.3.1 P: x (t) --> x(t+T) = x(t); for all t & T element of R-{0}; x [n] --> x[n+N] = x[n]; for all n; N element of Z-{0}
1.4 Energy and Power Signals
1.4.1 Energy Signal : 0 < E < infinity; P --> 0
1.4.2 Power Signal: 0 < P < infinity; E --> infinity
1.5 Real and Complex
1.5.1 Real : If the signal contains only real value
1.5.2 Else Complex Signal
2 System: An entity which extracts useful information from the signal or it processes the signal
2.1 Linear System
2.1.1 Obeys Superposition Principle
2.2 Time Invariant System
2.2.1 delayed version of i/p gives delayed version of o/p
2.3 Causal System
2.3.1 O/p depends on present and past i/p s
2.4 Stable System (BIBO)
2.4.1 Bounded i/p should give bounded o/p
2.5 Invertible System
2.5.1 x(t) must be able to be obtained from y(t)
2.6 Memoryless
2.6.1 O/p depend only on the present i/p