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

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

	Created by ramya.raj7787 almost 6 years ago