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

__Chapter__

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

__Chapter__

#### (__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
- Even / Odd part of Signal + Their Graphs
- Periodic / Aperiodic Signals
- 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

__Chapter__

#### (__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)
- Linear / Non-Linear
- Time Variant / Invariant
- Causal / Non-Causal
- Stable / Unstable (Condition for BIBO stability)
- Static / Dynamic
- 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

__Chapter__

**Topics to be prepared**

#### I want to Just Pass: Theory:

- Sampling and Reconstruction
- Aliasing effect
- Sampling Theorem
- Definitions
- Sampling Rate
- Nyquist Frequency
- Sampling Period

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

- Problems based on Sampling

__Chapter__: Z Transform (L.T.)

__Chapter__

#### (__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
- Finding Z.T. of standard signals, ROC.
- Inverse of Z.T. – by Partial Fraction Method, Long Division Method, Residue Method., Concept of ROC, poles and zeros
- Initial and final values of a signal
- Systems in Cascade and Parallel
- Convolution & Deconvolution using Z.T.
- Solving Difference Equations using Z.T. – Finding Impulse response, Step response, Output, Causality, Stability.
- 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

__Chapter__

#### (__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
- Finding Linear Convolution by Analytical / Graphical / Table / Matrices method.
- Finding Circular Convolution by Analytical / Graphical / Table / Matrices method.
- Finding Linear Convolution using Circular Convolution
- 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)

__Chapter__

**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
- Trigonometric or Quadrature
- Exponential
- Even / Odd Symmetry
- Plotting Magnitude & Phase Spectrum.
- Orthogonal Functions & Mean Square Error;

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

__Chapter__

**Topics to be prepared**

#### I want to Just Pass: Theory:

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

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

- Problems based on
- FT of standard signals.
- Inverse FT.
- Convolution / Deconvolution using FT
- Plotting Magnitude & Phase Spectrum.

__Chapter__: Discrete Time Fourier Transform (DTFT)

__Chapter__

**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
- Finding DTFT.
- Plotting Magnitude & Phase Spectrum.

__Chapter__: Discrete Time Fourier Series (DTFS)

__Chapter__

**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
- Definition and properties of DTFT

- Problems based on
- Finding DTFS coefficients
- Plotting Magnitude & Phase Spectrum.

__Chapter__: Correlation and Spectral Density

__Chapter__

**Topics to be prepared**

#### I want to Just Pass: Theory:

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

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

- Problems based on
- Finding Auto and Cross Correlation
- Finding PSD.