Signals and Systems (EC6303) Scanned Lecture Notes - SriNee Edition

  • 29Jan
  • 2015
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    Anna University , Chennai
    Department of B.E. Electronics and Communication Engineering
    Third Semester
    EC6303 Signals and Systems
    Scanned Lecture Notes (All Units) - SriNee Edition
    (Common to Bio-medical Engineering)
    (Regulation 2013)

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    Content :
    UNIT-1

    Signals
    Classification
    1. One dimensional
    2. Two dimensional
    3. Multi dimensional
    Classification of signals
    1. Continuous time
    2. Discrete time signal
    Sampling
    Digital signal
    Elements of CT signal
    1. Unit step signal
    2. Unit ramp signal
    3. Unit parabolic signals
    4. Impulse function
    5. Rectangular pulse signal
    6. Triangular 
    7. Signum
    8. Sinc
    9. Gaussian
    10. Sinusoidal
    11. Real exponential
    12. Complex exponential signal
    Representation of DT signal
    1. Functional representation
    2. Graphical representation
    3. Tabular representation
    4. Sequence representation
    Operation of signals
    1. Time shifting
    2. Time reversal
    3. Amplitude scaling
    4. Time sealing
    5. Signal addition
    6. Signal multiplication
    Properties of unit impulse function
    Properties of impulse function
    Classification of signal
    1. CT and DT
    2. Deterministic and random
    3. Periodic and aperiodic
    4. Power and energy
    5. Even and odd
    6. Causal and non-causal
    CT and DT system
    1. Static and dynamic system
    2. Causal and non-causal system
    3. Linear and non-linear system
    4. Time variant and time invariant
    5. Stable and unstable
    6. Lumped parameters and distributed parameters
    7. Invertible and non-invertible

    UNIT-2
    1. Fourier series
    2. Fourier transformation
    3. Laplace transform
    TRIGONOMETRIC FOURIER SERIES OF SINE AND COSINE TERMS
    Evaluation of fourier co-efficient
    Problems
    Symmetry condition
    Half wave symmetry
    Cosine representation
    Exponential fourier series
    Magnitude spectrum
    Phase spectrum
    Existence of fourier series (dirichlet’s condition)
    Existence of fourier transform
    Laplace transform
    Convergence of laplace transform
    Properties of laplace transform
    1. Linearity
    2. Transforms of derivation
    3. Transform of integral
    4. Scaling property
    5. Time shift
    6. Frequency shift
    7. Differentiation in a s domain
    8. Time and frequency convolution
    9. Initial value theorem
    10. Final value theorem

    UNIT-3
    LINEAR TIME INVARIANT CONTINOUS
    Time system
    LTI CT system are characterized by
    1. Differential equation
    2. Block diagrams
    3. Impulse response
    4. Transfer function
    5. Static variable description
    Natural response
    Forced response
    Types of realization
    1. Direct form - 1
    2. Direct form – 2
    3. Cascade form
    4. Parallel form

    UNIT-4
    DTFT
    Property
    1. Linearity
    2. Priority
    3. Time shifting
    4. Frequency shifting
    5. Time reversal
    6. Differential in frequency
    7. Convolution in time domain
    8. Convolution in frequency domain
    9. Correction theorem
    10. Modulation theorem
    11. Symmetric property
    12. Parsevals theprem
    PROBLEMS

    UNIT-5
    Basic diagrams
    Gain
    Adder
    Unit delay elements
    Direct form of realization
    Parallel form of realization

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