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Signal Systems Full Scanned Lecture Notes - 2015 Edition
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Signal Systems Full Scanned Lecture Notes from Reputed Institutions and Faculties. Useful for Electrical and Electronics Engineers , Specially for Candidates Appearing for GATE Exams.

Content :
  • Different operation on signal
  • Classification of signal
  • 1. Continuous signal
  • 2. Discrete signal
  • 3. Analog and digital signal
  • 4. Even and odd signal
  • 5. Periodic and non-periodic signal
  • Conjugate symmetric signal
  • Conjugate anti-symmetric signal
  • 6. Half wave symmetry signal
  • 7. Energy signal
  • 8. Power signal
  • 9. Periodic power signal
  • 10. Orthogonal signal
  • Important trignometrical results
  • Basic signal
  • 1. Unit impulse
  • a. Area under impulse
  • b. Weight\ strength of impulse
  • c. Time scaling property of impulse
  • 2. Unit step
  • 3. Unit-ramp
  • 4. Parabolic
  • 5. Signal function
  • 6. Symmetrical square wave
  • 7. Angular symmetrical wave
  • 8. Saw tooth wave
  • 9. Sampling signal
  • 10. Sinc signal
  • Mathematical expression of waveform
  • Basic system properties
  • 1. Static\dynamic system
  • 2. Causal\non-causal system
  • 3. Linear \non-linear system
  • 4. Time-variant\time-invariant system
  • 5. Stable and unstable system
  • 6. Linear time-invariant(LTI) system
  • Transfer function
  • Convolution
  • Condition for LTI system to be static
  • BIBO criteria
  • Different equation for LTI system
  • Fourier series
  • Types
  • 1. Trignometrical fourier series expansion
  • 2. Exponential fourier expansion
  • Symmetricities in fs
  • 1. Even symmetricity
  • 2. Odd symmetricity
  • 3. Half wave symmetry
  • 4. Even + HWS
  • 5. Odd + HWS 
  • 6. Hidden symmetricity
  • Properties
  • 1. Linearity
  • 2. Time reversal
  • 3. Conjugation
  • 4. Time shifting
  • 5. Frequency shifting
  • 6. Convolution in time
  • 7. Multiplication in time
  • 8. Differentiation in time
  • 9. Integration in time
  • 10. Parseval’s power theorem
  • Fourier transform
  • Dirichlet condition
  • Property of duality
  • Fourier transform for periodic signal
  • Laplace transform
  • Region of convergence (ROC)
  • Properties of ROC
  • Sampling theorem
  • Low pass filter
  • Sampling theorem 
  • Nyquist-interval
  • Over-sampling
  • Under sampling
  • Discrete time system
  • Z-transform
  • Condition for existence of z-transform
  • Properties
  • Initial value theorem
  • Final value theorem
  • DTFT
  • Inverse DTFT
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