Chapter: Representation of Signals – Continuous Time (CT) and Discrete Time (DT)

  (Note: A very easy and high scoring chapter. A must for all students who want to pass S & S)

Topics to be prepared

I want to Just Pass:

  • Theory: Classification of CT and DT signals
  • Transformation of independent variable – Shifting, Time Scaling, Folding, Amplitude Scaling, Addition, Multiplication
  • Signal Plotting using Elementary Signals
  • Arithmetic operations on the signals
  • Problems based on
    1. Even / Odd part of Signal + Their Graphs
    2. Periodic / Aperiodic Signals
    3. Energy / Power Signal

 

I want to get good Marks: (As above and plus)

  • Stochastic signals

Chapter: Continuous Time (CT) and Discrete Time (DT) Systems – Time Domain Analysis

(Note: A very easy and high scoring chapter. A must for all students who want to pass S & S)

Topics to be prepared

I want to Just Pass:

  • Classification of CT and DT systems (Theory & Problems)
    1. Linear / Non-Linear
    2. Time Variant / Invariant
    3. Causal / Non-Causal
    4. Stable / Unstable (Condition for BIBO stability)
    5. Static / Dynamic
    6. Invertible / Non-Invertible
  • Properties of LTI systems

I want to get good Marks: (As above and plus)

  • Checking Causality, Stability, Static from the Impulse Response of a system
  • Problems on: Sifting Property of Impulse signal and problems based on it.

 

Chapter: Sampling

Topics to be prepared

I want to Just Pass: Theory:

  • Sampling and Reconstruction
  • Aliasing effect
  • Sampling Theorem
  • Definitions
    1. Sampling Rate
    2. Nyquist Frequency
    3. Sampling Period

I want to get good Marks: (As above and plus)

  • Problems based on Sampling

 


 

Chapter: Z Transform (L.T.)

 (Note: A very high scoring chapter. A must for all students who want to pass S & S)

Topics to be prepared

I want to Just Pass: Theory:

  • Definition and Properties of Unilateral and Bilateral Z.T.
  • Properties of ROC
  • Problems based on
    1. Finding Z.T. of standard signals, ROC.
    2. Inverse of Z.T. – by Partial Fraction Method, Long Division Method, Residue Method., Concept of ROC, poles and zeros
    3. Initial and final values of a signal
    4. Systems in Cascade and Parallel
    5. Convolution & Deconvolution using Z.T.
    6. Solving Difference Equations using Z.T. – Finding Impulse response, Step response, Output, Causality, Stability.
    7. Finding Natural (zero i/p) response, Forced (zero state) response and total response of the system

 

I want to get good Marks: (As above and plus)

 


 

Chapter: Time Domain Analysis using Convolution Integral / Sum

(Note: A high scoring chapter. A must for all students who want to pass S & S)

Topics to be prepared

I want to Just Pass:

  • Theory: Properties of convolution integral/sum.
  • Problems based on
    1. Finding Linear Convolution by Analytical / Graphical / Table / Matrices method.
    2. Finding Circular Convolution by Analytical / Graphical / Table / Matrices method.
    3. Finding Linear Convolution using Circular Convolution
    4. Finding impulse and step response using Linear Convolution;

 

I want to get good Marks: (As above and plus)

 


Chapter: Continuous Time (CT) Fourier Series (FS)

Topics to be prepared

I want to Just Pass: Theory:

  • Gibb’s phenomenon
  • Dirichlet’s Condition
  • Single-Sided and Double-Sided Amplitude and Phase Spectrum.

I want to get good Marks: (As above and plus)

  • Review and Properties of CT FS
  • Problems based on
    1. Trigonometric or Quadrature
    2. Exponential
    3. Even / Odd Symmetry
    4. Plotting Magnitude & Phase Spectrum.
    5. Orthogonal Functions & Mean Square Error;

Chapter: Continuous Time (CT) Fourier Transform (FT)

Topics to be prepared

 I want to Just Pass: Theory:

  • Properties of Fourier transform.
  • Dirichlet’s Condition
  • Problems based on
    1. Finding FT of signum Function.
    2. Finding FT of Rectangular pulse.

 

I want to get good Marks: (As above and plus)

  • Problems based on
    1. FT of standard signals.
    2. Inverse FT.
    3. Convolution / Deconvolution using FT
    4. Plotting Magnitude & Phase Spectrum.

Chapter: Discrete Time Fourier Transform (DTFT)

Topics to be prepared

I want to Just Pass: Theory:

  • Theory: Relationship of DTFT with ZT

I want to get good Marks: (As above and plus)

  • Theory: Definition and properties of DTFT
  • Problems based on
    1. Finding DTFT.
    2. Plotting Magnitude & Phase Spectrum.

Chapter: Discrete Time Fourier Series (DTFS)

Topics to be prepared

I want to Just Pass: Theory:

 

I want to get good Marks: (As above and plus)

  • Theory: Definition and properties of DTFS
    1. Definition and properties of DTFT
  • Problems based on
    1. Finding DTFS coefficients
    2. Plotting Magnitude & Phase Spectrum.

 

 


 

Chapter: Correlation and Spectral Density

Topics to be prepared

I want to Just Pass: Theory:

  • Theory:
    1. Comparison of Convolution and Correlation
    2. Auto and Cross Correlation – Definition and properties
    3. Definition: Energy / Power Spectral Density
    4. Relation of ESD, PSD with auto-correlation

 

I want to get good Marks: (As above and plus)

  • Problems based on
    1. Finding Auto and Cross Correlation
    2. Finding PSD.

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