z-Transform is for the analysis and synthesis of discrete-time control systems.The z transform in discrete-time systems play a similar role as the Laplace transform in continuous-time systems
Z Transform And Inverse Z Transform - Signal And SystemsMr. RahüL YøGi
The z-transform is the most general concept for the transformation of discrete-time series.
The Laplace transform is the more general concept for the transformation of continuous time processes.
For example, the Laplace transform allows you to transform a differential equation, and its corresponding initial and boundary value problems, into a space in which the equation can be solved by ordinary algebra.
The switching of spaces to transform calculus problems into algebraic operations on transforms is called operational calculus. The Laplace and z transforms are the most important methods for this purpose.
z-Transform is for the analysis and synthesis of discrete-time control systems.The z transform in discrete-time systems play a similar role as the Laplace transform in continuous-time systems
Z Transform And Inverse Z Transform - Signal And SystemsMr. RahüL YøGi
The z-transform is the most general concept for the transformation of discrete-time series.
The Laplace transform is the more general concept for the transformation of continuous time processes.
For example, the Laplace transform allows you to transform a differential equation, and its corresponding initial and boundary value problems, into a space in which the equation can be solved by ordinary algebra.
The switching of spaces to transform calculus problems into algebraic operations on transforms is called operational calculus. The Laplace and z transforms are the most important methods for this purpose.
The z-Transform is often time more convenient to use
Definition:
Compare to DTFT definition:
z is a complex variable that can be represented as z=r ej
Substituting z=ej will reduce the z-transform to DTFT
Region of Convergence for a discrete time signal x[n] is defined as a continuous region in z plane where the Z-Transform converges.
The roots of the equation P(z) = 0 correspond to the ’zeros’ of X(z)
The roots of the equation Q(z) = 0 correspond to the ’poles’ of X(z)
The RoC of the Z-transform depends on the convergence of the polynomials P(z) and Q(z),
Uses to analysis of digital filters.
Used to simulate the continuous systems.
Analyze the linear discrete system.
Used to finding frequency response.
COntents:
Signals & Systems, Classification of Continuous and Discrete Time signals, Standard Continuous and Discrete Time Signals
Block Diagram Representation of System, Properties of System
Linear Time Invariant Systems (LTI)
Convolution, Properties of Convolution, Performing Convolution
Differential and Difference Equation Representation of LTI Systems
Fourier Series, Dirichlit Condition, Determination of Fourier Coefficeints, Wave Symmetry, Exponential Form of Fourier Series
Fourier Transform, Discrete Time Fourier Transform
Laplace Transform, Inverse Laplace Transform, Properties of Laplace Transform
Z-Transform, Properties of Z-Transform, Inverse Z- Transform
Text Book
Signal & Systems (2nd Edition) By A. V. Oppenheim, A. S. Willsky & S. H. Nawa
Signal & Systems
By Prentice Hall
Reference Book
Signal & Systems (2nd Edition)
By S. Haykin & B.V. Veen
Signals & Systems
By Smarajit Gosh
state space representation,State Space Model Controllability and Observabilit...Waqas Afzal
State Variables of a Dynamical System
State Variable Equation
Why State space approach
Block Diagram Representation Of State Space Model
Controllability and Observability
Derive Transfer Function from State Space Equation
Time Response and State Transition Matrix
Eigen Value
Classification of signals and systems as well as their properties are given in the PPT .Examples related to types of signals and systems are also given .
The z-Transform is often time more convenient to use
Definition:
Compare to DTFT definition:
z is a complex variable that can be represented as z=r ej
Substituting z=ej will reduce the z-transform to DTFT
Region of Convergence for a discrete time signal x[n] is defined as a continuous region in z plane where the Z-Transform converges.
The roots of the equation P(z) = 0 correspond to the ’zeros’ of X(z)
The roots of the equation Q(z) = 0 correspond to the ’poles’ of X(z)
The RoC of the Z-transform depends on the convergence of the polynomials P(z) and Q(z),
Uses to analysis of digital filters.
Used to simulate the continuous systems.
Analyze the linear discrete system.
Used to finding frequency response.
COntents:
Signals & Systems, Classification of Continuous and Discrete Time signals, Standard Continuous and Discrete Time Signals
Block Diagram Representation of System, Properties of System
Linear Time Invariant Systems (LTI)
Convolution, Properties of Convolution, Performing Convolution
Differential and Difference Equation Representation of LTI Systems
Fourier Series, Dirichlit Condition, Determination of Fourier Coefficeints, Wave Symmetry, Exponential Form of Fourier Series
Fourier Transform, Discrete Time Fourier Transform
Laplace Transform, Inverse Laplace Transform, Properties of Laplace Transform
Z-Transform, Properties of Z-Transform, Inverse Z- Transform
Text Book
Signal & Systems (2nd Edition) By A. V. Oppenheim, A. S. Willsky & S. H. Nawa
Signal & Systems
By Prentice Hall
Reference Book
Signal & Systems (2nd Edition)
By S. Haykin & B.V. Veen
Signals & Systems
By Smarajit Gosh
state space representation,State Space Model Controllability and Observabilit...Waqas Afzal
State Variables of a Dynamical System
State Variable Equation
Why State space approach
Block Diagram Representation Of State Space Model
Controllability and Observability
Derive Transfer Function from State Space Equation
Time Response and State Transition Matrix
Eigen Value
Classification of signals and systems as well as their properties are given in the PPT .Examples related to types of signals and systems are also given .
This presentation deals with the " Massive Open Online Course (MOOC ) which is an online course aimed at unlimited participation and open access via the web. In addition to traditional course materials such as filmed lectures, readings, and problem sets, many MOOCs provide interactive user forums to support community interactions between students, professors, and teaching assistants
These are notes I prepared for a course on control that I taught at King Abdulaziz University.
The notes did not go through the intended revision after the end of the semester due to my schedule so they remain a rough first draft.
They are largely (but not completely) inspired by a control course taught by Dr. Gregory Shaver at the ME dept. at Purdue.
Much of the information was gleaned through a variety of textbooks/papers/experiences, too many to mention here.
Although a reasonable attempt has been made to ensure all the facts are correct, these notes are as-is with no guarantee of accuracy. Use at your own risk.
This slide show contains a detailed explanation of the following topics from Control System:
1. Open loop & Closed loop
2. Mathematical modeling
3. f-v and f-i analogy
4. Block diagram reduction technique
5. Signal flow graph
Introduction to Digital Signal Processing (DSP) - Course NotesAhmed Gad
Documentation of digital signal processing course giving an introduction to the field.
The course covers the following:
Principles of Digital Signal Processing.
Continuous, Discrete Signals and Systems.
Basic Operations on Signals
Discrete Time System Fundamentals
Discrete Time System.
Convolution
Discrete Fourier Transform.
Continuous Fourier Transform.
Fourier Transform
Discrete Fourier Transform.
Continuous Fourier Transform.
Z-Transform
Laplace Transform
Digital Filter Design
FIR Filter Design.
IIR Filter Design.
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Transfer Function and Mathematical Modeling
Transfer Function
Poles And Zeros of a Transfer Function
Properties of Transfer Function
Advantages and Disadvantages of T.F.
Translation motion
Rotational motion
Translation-Rotation counterparts
Analogy system
Force-Voltage analogy
Force-Current Analogy
Advantages
Example
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This is basically the ARMA Modelling algorithm for ESD Waveforms. The reference is:
IEEE paper “CIRCUIT MODELS OF ESD WAVEFORMS” presented by Michael Rudko , Yu Chang , Chang-Yu Wu. Their detailed approach of Modeling the ESD waveform is just briefly given here. For detailed explanation and theory please follow the paper.
TEM Transmission lines' properties, the construction techniques, types, uses in the circuits, mathematical representation, limitations and their solutions are described
A presentation about nanoelectronics-what it is and why it is used widely nowadays, its advantages and industrial applications and the future use. Also describes some problems faced by nanoelectronics.
BCH codes, part of the cyclic codes, are very powerful error correcting codes widely used in the information coding techniques. This presentation explains these codes with an example.
Hybrid optimization of pumped hydro system and solar- Engr. Abdul-Azeez.pdffxintegritypublishin
Advancements in technology unveil a myriad of electrical and electronic breakthroughs geared towards efficiently harnessing limited resources to meet human energy demands. The optimization of hybrid solar PV panels and pumped hydro energy supply systems plays a pivotal role in utilizing natural resources effectively. This initiative not only benefits humanity but also fosters environmental sustainability. The study investigated the design optimization of these hybrid systems, focusing on understanding solar radiation patterns, identifying geographical influences on solar radiation, formulating a mathematical model for system optimization, and determining the optimal configuration of PV panels and pumped hydro storage. Through a comparative analysis approach and eight weeks of data collection, the study addressed key research questions related to solar radiation patterns and optimal system design. The findings highlighted regions with heightened solar radiation levels, showcasing substantial potential for power generation and emphasizing the system's efficiency. Optimizing system design significantly boosted power generation, promoted renewable energy utilization, and enhanced energy storage capacity. The study underscored the benefits of optimizing hybrid solar PV panels and pumped hydro energy supply systems for sustainable energy usage. Optimizing the design of solar PV panels and pumped hydro energy supply systems as examined across diverse climatic conditions in a developing country, not only enhances power generation but also improves the integration of renewable energy sources and boosts energy storage capacities, particularly beneficial for less economically prosperous regions. Additionally, the study provides valuable insights for advancing energy research in economically viable areas. Recommendations included conducting site-specific assessments, utilizing advanced modeling tools, implementing regular maintenance protocols, and enhancing communication among system components.
Cosmetic shop management system project report.pdfKamal Acharya
Buying new cosmetic products is difficult. It can even be scary for those who have sensitive skin and are prone to skin trouble. The information needed to alleviate this problem is on the back of each product, but it's thought to interpret those ingredient lists unless you have a background in chemistry.
Instead of buying and hoping for the best, we can use data science to help us predict which products may be good fits for us. It includes various function programs to do the above mentioned tasks.
Data file handling has been effectively used in the program.
The automated cosmetic shop management system should deal with the automation of general workflow and administration process of the shop. The main processes of the system focus on customer's request where the system is able to search the most appropriate products and deliver it to the customers. It should help the employees to quickly identify the list of cosmetic product that have reached the minimum quantity and also keep a track of expired date for each cosmetic product. It should help the employees to find the rack number in which the product is placed.It is also Faster and more efficient way.
Final project report on grocery store management system..pdfKamal Acharya
In today’s fast-changing business environment, it’s extremely important to be able to respond to client needs in the most effective and timely manner. If your customers wish to see your business online and have instant access to your products or services.
Online Grocery Store is an e-commerce website, which retails various grocery products. This project allows viewing various products available enables registered users to purchase desired products instantly using Paytm, UPI payment processor (Instant Pay) and also can place order by using Cash on Delivery (Pay Later) option. This project provides an easy access to Administrators and Managers to view orders placed using Pay Later and Instant Pay options.
In order to develop an e-commerce website, a number of Technologies must be studied and understood. These include multi-tiered architecture, server and client-side scripting techniques, implementation technologies, programming language (such as PHP, HTML, CSS, JavaScript) and MySQL relational databases. This is a project with the objective to develop a basic website where a consumer is provided with a shopping cart website and also to know about the technologies used to develop such a website.
This document will discuss each of the underlying technologies to create and implement an e- commerce website.
Student information management system project report ii.pdfKamal Acharya
Our project explains about the student management. This project mainly explains the various actions related to student details. This project shows some ease in adding, editing and deleting the student details. It also provides a less time consuming process for viewing, adding, editing and deleting the marks of the students.
Immunizing Image Classifiers Against Localized Adversary Attacksgerogepatton
This paper addresses the vulnerability of deep learning models, particularly convolutional neural networks
(CNN)s, to adversarial attacks and presents a proactive training technique designed to counter them. We
introduce a novel volumization algorithm, which transforms 2D images into 3D volumetric representations.
When combined with 3D convolution and deep curriculum learning optimization (CLO), itsignificantly improves
the immunity of models against localized universal attacks by up to 40%. We evaluate our proposed approach
using contemporary CNN architectures and the modified Canadian Institute for Advanced Research (CIFAR-10
and CIFAR-100) and ImageNet Large Scale Visual Recognition Challenge (ILSVRC12) datasets, showcasing
accuracy improvements over previous techniques. The results indicate that the combination of the volumetric
input and curriculum learning holds significant promise for mitigating adversarial attacks without necessitating
adversary training.
Sachpazis:Terzaghi Bearing Capacity Estimation in simple terms with Calculati...Dr.Costas Sachpazis
Terzaghi's soil bearing capacity theory, developed by Karl Terzaghi, is a fundamental principle in geotechnical engineering used to determine the bearing capacity of shallow foundations. This theory provides a method to calculate the ultimate bearing capacity of soil, which is the maximum load per unit area that the soil can support without undergoing shear failure. The Calculation HTML Code included.
NO1 Uk best vashikaran specialist in delhi vashikaran baba near me online vas...Amil Baba Dawood bangali
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Applications of Z transform
1.
2. APPLICATION
•A closed-loop (or feedback) control system is shown in Figure.
•If you can describe your plant and your controller using linear
difference equations, and if the coefficients of the equations don't
change from sample to sample, then your controller and plant are
linear and shift-invariant, and you can use the z transform.
3. HOW?
Suppose xn=output of the plant at sample time n
un=command to the DAC at sample time n
a and b=constants set by the design of the plant
You can solve the behaviour equation of the plant over
time.
Furthermore you can also investigate what happens when
you add feedback to the system.
The z transform allows you to do both of these things.
4. THERE’S MORE…
Deals with many common feedback control
problems using continuous-time control.
Also used in sampled-time control situations to
deal with linear shift-invariant difference
equations.
5. Z-Transform at WORK
Z-Transform takes a sequence of xn numbers
and transforms it into an expression X(Z) that
depends on the variable Z but not n. That's the
transform part.
So the problem is transformed from the sampled
time domain (n) to the z domain.
7. EXAMPLE
Figure shows a motor and gear train that we
might use in a servo system.
Here the difference equation that describes the
plant might look like
8. We can take the z transform of the
behaviour equation without knowing
what xn or un are and get,
Notice a cool thing: We've turned the
difference equation into an algebraic
equation!
This one of the many things that makes
the z transform so useful because we
can now easily solve the algebraic
9. Transfer Function
The function H(Z) is called the “Transfer
Function" of the system – it shows how the input
signal is transformed into the output signal.
H(Z)=Y(Z)/X(Z)
In Z domain, the Transfer Function of a system
isn't affected by the nature of the input signal, nor
does it vary with time.
10. We can predict the behavior of the motor
using H(Z).
Let's say we want to see what the motor will
do if x goes from 0 to 1 at time n = 0, and
stays there forever. This is called the ‘unit step
function’ and the Z-Transform of the unit step
response is H(Z)=Z/(Z-1).
Thus we can know everything about the
system behaviour and avoid undesirable
situations.
11. SOFTWARE
You can write software from the Z-Transform with
utter ease.
Like, if you have a Transfer Function of a system,
then the software turns it into a Z-domain
equation which can then be converted into a
difference equation which in turn can be turned
into a software very quickly.
This saves the manual work and a software for a
plant can be produced within seconds.