Signals And Systems Full Premium Lecture Notes

Signals And Systems Full Scanned Handwritten Lecture Notes from Reputed Institutions and Faculties. Useful for Electrical , as well as 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