 # Signals and Systems

Signals and Systems course provides the basic toolkit for any signal processing application - the abstraction of signals and systems, from the point of view of analysis and characterization.

##### 365 days course access

Live instructor-led online classes

##### Industry-based projects

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The Super teacher Includes:

• 4 hours of lecture Videos
• 79 hands-on practice exercises
• 7 Assessment exercises
• 210 knowledge based questions
• 2 Live connect session
(Master classes)
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### Signals and Systems

This course deals with signals, systems, and transforms, from their theoretical mathematical foundations to practical implementation in circuits and computer algorithms. You will have a deep understanding of the mathematics and practical issues of signals in continuous and discrete time, linear time-invariant systems, convolution and Fourier transforms at the end of this course. You will also learn behaviour of analog & digital signals and the impact of signals on a specific system. You will learn about the applications of signals and systems in the fields of electrical, mechanical, chemical , electronics and aeronautical engineering.

COURSE OBJECTIVES

Upon successful completion of the course, the learner will be able to :
• Provides concepts of signals and systems with their classification , basic properties and operations.
• Learn most important types of systems,the linear time invariant(LTI) Systems and their basic properties.
• Knowledge on continuous-time Fourier series and continuous-time Fourier transform and their applications to LTI systems.
• Ability to learn the time and frequency characterization of signals and systems.
• Helps to learn the sampling theorem and its various aspects.
• Provides deep concepts and applications of analog and digital signals.
• Deals with z- transform and its various properties.
• Deals with Convolution, impulse response representation and Block diagram representations.
• Ability to solve the problems using discrete-time Fourier transform.

## Course Content

### Introduction

In this module, we will learn about the classification of signals, basic Operations on signals, and elementary signals. Also we will learn about the systems viewed as Interconnections of operations and properties of the systems.

• 1 Video
• 3 Hours
• 42 Problems

### Time-domain representations for LTI systems - 1

In this module, we will learn about the signals and the systems. So, now we will move forward and learn about the Convolution and the representation of impulse response. We will also learn about the Convolution Sum and Convolution Integral. With the help of this, we all know about how to solve the convolution problems.

• 1 Video
• 6 Hours
• 45 Problems

### Time-domain representations for LTI systems - 2

In this module, we will learn about the properties of impulse response representation. We will also learn about the different methods of representing the continuous time systems - Differential, difference equation representations, Block diagram representations.

• 1 Video
• 10 Hours
• 41 Problems

### Fourier representation for signals - 1

In this module, we will learn about the Fourier representation for signals. We will also learn about the discrete time and continuous time Fourier series. Continuous signals is divided into two categories: Periodic and Aperiodic. Here, we will get to know about periodic signals and their properties.

• 1 Video
• 15 Hours
• 46 Problems

### Applications of Fourier Representations

In this module, we will learn about the importance of Fourier transform. We will also learn about the Frequency response of LTI systems and Fourier transform representation of real time signals.

• 1 Video
• 12 Hours
• 46 Problems

### Z-Transforms - 1

In this module, we will learn about the Z – transform. We will also learn about the properties of Region of Convergence, properties of Z – transforms and inversion of Z–transforms.

• 1 Video
• 8 Hours
• 38 Problems

### Z-Transforms - 2

In this module, we will learn about the Transform analysis of LTI Systems and unilateral Z- Transform. We will also learn about its application of solving real-time difference equations.

• 1 Video
• 8 Hours
• 38 Problems

## Recommended Courses

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