Hey fellows, in the previous lecture, we read the basics of Laplace transform and now, we want to go into a deep study about the same topic. Usually, it is important to learn all the properties of a mathematical tool to use it well, but we’ll focus on the basic and important properties of the Laplace transform to understand its concepts. Here are these:
Linearity
Time delay
Nth derivative
Frequency shifting
Multiplication with time
Complex shift property
Convolution of the Laplace transform
Time shifting
Time reversal
If you have read the previous concepts clearly, then these concepts should be clear in your mind. We’ll define all of them one after the other, and you'll understand each of them clearly.
Linearity in the Laplace Transform
We all know what linearity is. Yet, t ...
Hello! Welcome to the engineering projects. This is the second part of the signal and system series in which we will discuss some essential classifications of simple signals. In the previous session, we discussed the introduction of signals and systems and also ran some simple codes on MATLAB for the implementation of some simple codes.
In this session, we are discussing some essential types of signals, and the best part is that we will implement all the signals in MATLAB for the best understanding. Here is a quick glance at all the topics that we will discuss today:
Continuous-Time Signals
Discrete-Time Signals
Periodic Signals
Aperiodic Signals
Even Signals
Odd Signals
Deterministic Signals
Non-Deterministic Signals
Energy Signals
Power Signals
What are functions?
Some ...
Till now, we have read about the basic concepts and functions in the signal and system, but let’s have something that is more practical and practice each and every topic thoroughly because if you have the understanding at each point, transforming will become an interesting game for you.Keep in mind, that transforms are an important topic in signal processing, but they were traditionally taught in the same way they were discovered: through calculus. This approach, however, does not reveal the true purpose of the transforms or why they are desirable. Well, let’s check the topics that we are going to learn about today:
What are transforms?
Which common transforms are used in signals and systems?
What is the Laplace transform?
How can you implement the Laplace transform in MATLAB?
What ar ...
Hey readers, welcome to another interesting lecture of this series in which we are studying signals and systems. In the present lectures, we are learning the details about the responses of LTI systems, and today, you are going to learn the step response. We also talked about the impulse response and frequency response, and therefore, this lecture will be easy for you to understand because it is, somehow, related to the impulse response. If you are new to this concept, do not worry because there will be a revision of important points side by side. Have a look at the list of today’s concepts:
What is an LTI system?
How do you define the step response of an LTI system?
What is the code to run the step response of signal in MATLAB using different functions?
How can you find the detail of t ...
Hey pupils, Welcome to another lecture of this series on signals and systems, and this is the time to learn an interesting topic in which you are going to learn about the convolution of the signals. In the previous sessions, we have learned basic operations on the signals, and this time, you are going to know the convolution of the signals and different criteria that are related to this topic. Have a quick view of the concepts that will be clarified in this lecture: What is convolution? What are some basic types of convolution? How can you define the properties of linear convolution? How can you implement convolution in MATLAB using function and without function? What is the difference between linear and circular convolution? What is the convolution of signals? Convolution is ...
Hey learners! Welcome to another exciting lecture in this series of signals and systems. We are learning about the transform in signals and systems, and in the previous lectures, we have seen a bulk of information about the Laplace transform. If you know the previous concepts of signal and system, then this lecture will be super easy for you to learn, but if your concepts are not clear, do not worry because we will revise all the basic information from scratch for our new readers. So, without wasting time, have a look at the topics of today.
What is z transform?
What is the region of convergence of z transform?
What are some of the important properties of the region of convergence?
How to solve the z transform?
What is an example of the z transform in MATLAB?
What are the methods fo ...
Hey geeks, welcome to the next article of this series on signals and systems. In the previous lecture, we saw the basic types of convolution and learned about convolution in MATLAB. This time, we are going to enhance some concepts about it by learning about the properties of convolution and by adding some important pieces of information about the same topic. Have a look at today’s concepts:
What are some basic properties of convolution?
What is the correlation?
Discuss some types of correlation and their implementation in MATLAB.
What is the difference between convolution and correlation?
How convolution is used in different areas of science and how different departments are using this technique to control the parameters efficiently.
The Properties of Convolution
Once you ...
Hey fellows, Welcome to another lecture in the signal and systems series in which we are moving towards another transform. Till now, we have studied the Laplace and z transform and we, therefore, know the basic purpose of transforms, that is, to convert the signal from one domain to another. In today's lecture, we will be discussing the Fourier Transform, and you will enjoy its information because now we have a clearer idea of what we are doing and what the purpose of this transformation of a signal is. Here are the key points that we are going to consider:
What is the Fourier transform?
What is the journey Fourier transforms from start to end?
How do you define the types of Fourier transform?
Why is the Discrete Fourier transform important?
Why is the fast Fourier transforms named so ...
Hey, pupils welcome to the next session about the Fourier transform. Till now, we have learned about the basics of Fourier transform. It is always better to understand all the properties of a mathematical tool to understand its workings and characteristics. You will observe that most of its properties are similar to the topics that we have discussed before, and the reason is, that all of them are transforms, and the core objective of these transforms is the same. We have learned about the simple and easy discussion of the Fourier Transform, but when dealing with complex problems, it involves the usage of different properties so that we do not have to repeat the calculations all the time to get the required results. Have a look at what you are going to learn today:
What are the basic prope ...
Hello learners, welcome to another topic of signals and systems. We hope you are having a reproductive day and to add more information in the simplest way to your day, we are discussing the responses in discrete-time signals. If you do not get the idea of the topic at the moment, do not worry because we are going to learn it in detail and you are going to enjoy it because we are making interesting patterns in MATLAB as the practical implementation of the topics. Have a look at the points that we are making clear today.
What is the LTI system?
What is impulse response?
How can we get the impulse response in MATLAB?
How can we have the output signal using codes and impulse response in MATLAB?
As we have learned so far in this series, there are two types of signals based on the ...
