## Chapter: Representation of Discrete Time (DT) Signals

(__Note__: A very easy and high scoring chapter. A must for all students who want to pass DSP)

**Topics to be prepared**

**I want to Just Pass:**

Theory: Classification of DT signals

- Standard DT Signals
- Signal Manipulations – Shifting, Time Scaling, Folding, Amplitude Scaling, Addition, Subtraction, 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)**

- Concept of Digital Frequency

## Chapter: DT Systems – Time Domain Analysis

(__Note__: A very easy and high scoring chapter. A must for all students who want to pass DSP)

**Topics to be prepared**

**I want to Just Pass:**

- Classification of 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)**

- Concept of IIR System and FIR System.
- Output of IIR and FIR DT system using Time Domain Linear Convolution formula Method..

## Chapter: Sampling

**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: Time Domain Analysis using Convolution Sum & Correlation

(__Note__: A high scoring chapter. A must for all students who want to pass DSP)

**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
- Auto and Cross Correlation evaluation.

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

## Chapter: Discrete Fourier Transforms (DFT)

(__Note__: A very easy and high scoring chapter. A must for all students who want to pass DSP)

**Topics to be prepared**

**I want to Just Pass:**

- Definition and Properties of DFT.
- Problems based on
- Computation of DFT and IDFT
- Circular Convolution using DFT / IDFT
- Linear Convolution using DFT / IDFT
- Evaluating DFT using Properties of DFT
- Relation between DFT & DTFT

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

- Introduction to DTFT
- Transfer function of DT System in frequency domain using DFT.
- Response of FIR system calculation in frequency domain using DFT.

I want to Score Maximum: (As above and plus)

## Chapter: Fast Fourier Transforms (FFT)

**( Note: High scoring chapter. A must for all students who want to pass DSP)**

#### Topics to be prepared

**I want to Just Pass: **

- Radix-2 Decimation In Time (DIT) FFT for N = 4, 6, 8 with Flow Graph (or Butterfly diagram).
- Inverse FFT
- Problems based on
- Computation of DFT and IDFT by FFT
- Circular Convolution using DFT/ IDFT by FFT
- Comparing Computational Complexity between DFT and FFT

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

- DIT-FFT and DIF-FFT algorithms and derivation for N = 4, 8

**I want to Score Maximum: (As above and plus)**

- Composite FFT algorithms and derivation for N = 6 (3 ´ 2 or 2 ´ 3) for both DIF & DIT.
- Composite FFT algorithms and derivation for N = 9 (3 ´ 3)

** **

## Chapter: DSP Algorithms

**Topics to be prepared**

** I want to Just Pass: **

**Theory:**

- Carls’ Correlation Coefficient Algorithm.
- Fast Circular Convolution Algorithm.
- Fast Linear Convolution Algorithm.
- Linear FIR filtering using Fast Overlap Add Algorithm and Fast Overlap Save Algorithm

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

## Chapter: Introduction to DSP Processors and Application

**Topics to be prepared**

** I want to Just Pass: Theory:**

-x-

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

- Difference between DSP Processor & Microprocessor.
- Need for Special architecture of DSP processor.
- A general DSP processor TMS320C54XX
- Real Time DSP applications to Speech Signal Processing.
- DSP applications to Biomedical Signal Processing

** **