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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