# Digital Signal Processing (SPPU-ENTC-TE)

**Digital** signal processing (DSP) and **Analog** signal processing are subfields of signal processing. **DSP means** the use of digital processing, such as by computers, to perform a wide variety of signal processing operations. The signals processed in this manner are a sequence of numbers that represent **samples of a continuous variable** in a domain such as time, space, or frequency.

DSP **applications** include audio and speech signal processing, sonar, radar, sensor array processing and much more.

**This course** takes you through the discrete time signals and systems, their analysis and transforms, signal processing, sampling and aliasing and implementing filters.

## Overview

Digital Signal Processing

Abbreviation | DSP | ||||
---|---|---|---|---|---|

Course | Third Year, Semester I ENTC | ||||

Credits | 04 | ||||

Examination Scheme
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Language | English |

## Table of Contents

## Course Objectives

- To introduce students with transforms for analysis of Discrete time signals and systems.
- To understand the digital signal processing, sampling and aliasing
- To use and understand implementation of digital filters.

## Course Outcomes

On completion of the course, student will be able to:

- Analyze the discrete time signals and system using different transform domain techniques.
- Design and implement LTI filters for filtering different real world signals.
- Develop different signal processing applications using DSP processor.

## Syllabus and Notes

### Unit I: DSP Preliminaries and Applications

[Main Page: DSP Preliminaries and Applications]

- Sampling, DT signals, sampling theorem in time domain, sampling of analog signals, recovery of analog signals, and analytical treatment with examples, mapping between analog frequencies to digital frequency, representation of signals as vectors, concept of Basis function and orthogonality, Eigen value and eigen vector, Basic elements of DSP and its requirements, advantages of Digital over Analog signal processing.

### Unit II: Discrete Fourier Transform

[Main Page: Discrete Fourier Transform]

- DTFT, Definition, Frequency domain sampling , DFT, Properties of DFT, circular convolution, linear convolution, Computation of linear convolution using circular convolution, FFT, decimation in time and decimation in frequency using Radix-2 FFT algorithm, Linear filtering using overlap add and overlap save method, Amplitude spectrum and power spectrum, Introduction to Discrete Cosine Transform

### Unit III: Z transform

- Need for transform, relation between Laplace transform and Z transform, relation between Fourier transform and Z transform, Properties of ROC, properties of Z transform, Relation between pole locations and time domain behavior, causality and stability considerations for LTI systems, Inverse Z transform, Power series method, partial fraction expansion method, Solution of difference equations using Z transform.

### Unit IV: IIR Filter Design

[Main Page: IIR Filter Design]

- Concept of analog filter design, IIR filter design by approximation of derivatives, IIR filter design by impulse invariance method, Bilinear transformation method, warping effect.
- Butterworth filter design, Characteristics of Butterworth filters, Chebyshev filters and elliptic filters, IIR filter realization using direct form, cascade form and parallel form, Finite word length effect in IIR filter design

### Unit V: FIR Filter Design

- Ideal filter requirements, Gibbs phenomenon, windowing techniques, characteristics and comparison of different window functions, Design of linear phase FIR filter using windows and frequency sampling method.
- Magnitude and Phase response of Digital filters, Frequency response of Linear phase FIR filters, FIR filters realization using direct form, cascade form, Finite word length effect in FIR filter design

### Unit VI: DSP Applications

[Main Page : DSP Applications]

- Overview of DSP in real world applications such as Digital crossover audio systems, Interference cancellation in ECG, Speech coding and compression, Compact disc recording system, Vibration signature analysis for defective gear teeth, Speech noise reduction, two band digital crossover.

## Previous Years Questions

- Pattern 2012 Question Papers
- Model Answer Paper: May 2017 Exam

## Practical/ Oral Exam Questions

- Expected Questions

## Assignments

Assignment 1 | Assignment 2 |

Assignment 3 | Assignment 4 |

Assignment 5 | Assignment 6 |

## Ask Queries

**Blogs**:**Forums**:

## References

- Wikipedia
- UniPune website