This document provides an overview of chapter 1 on signals from a textbook on signals and systems. It defines a signal as a function that varies over time or another independent variable. It classifies signals as continuous-time or discrete-time, even or odd, periodic or aperiodic, and energy or power signals. It also discusses transformations of signals including time shifting, time scaling, and time reversal. Exponential and sinusoidal signals are examined for both continuous-time and discrete-time cases. Finally, it introduces the unit impulse and unit step functions.
Signals and Systems is an introduction to analog and digital signal processing, a topic that forms an integral part of engineering systems in many diverse areas, including seismic data processing, communications, speech processing, image processing, defense electronics, consumer electronics, and consumer products.
Signals and Systems is an introduction to analog and digital signal processing, a topic that forms an integral part of engineering systems in many diverse areas, including seismic data processing, communications, speech processing, image processing, defense electronics, consumer electronics, and consumer products.
Signal and System, CT Signal DT Signal, Signal Processing(amplitude and time ...Waqas Afzal
Signal and System(definitions)
Continuous-Time Signal
Discrete-Time Signal
Signal Processing
Basic Elements of Signal Processing
Classification of Signals
Basic Signal Operations(amplitude and time scaling)
A signal is a pattern of variation that carry information.
Signals are represented mathematically as a function of one or more independent variable
basic concept of signals
types of signals
system concepts
Saudi Arabia stands as a titan in the global energy landscape, renowned for its abundant oil and gas resources. It's the largest exporter of petroleum and holds some of the world's most significant reserves. Let's delve into the top 10 oil and gas projects shaping Saudi Arabia's energy future in 2024.
Signal and System, CT Signal DT Signal, Signal Processing(amplitude and time ...Waqas Afzal
Signal and System(definitions)
Continuous-Time Signal
Discrete-Time Signal
Signal Processing
Basic Elements of Signal Processing
Classification of Signals
Basic Signal Operations(amplitude and time scaling)
A signal is a pattern of variation that carry information.
Signals are represented mathematically as a function of one or more independent variable
basic concept of signals
types of signals
system concepts
Saudi Arabia stands as a titan in the global energy landscape, renowned for its abundant oil and gas resources. It's the largest exporter of petroleum and holds some of the world's most significant reserves. Let's delve into the top 10 oil and gas projects shaping Saudi Arabia's energy future in 2024.
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.
About
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
• Remote control: Parallel or serial interface.
• Compatible with MAFI CCR system.
• Compatible with IDM8000 CCR.
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
• Easy in configuration using DIP switches.
Technical Specifications
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
Key Features
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
• Remote control: Parallel or serial interface
• Compatible with MAFI CCR system
• Copatiable with IDM8000 CCR
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
Application
• Remote control: Parallel or serial interface.
• Compatible with MAFI CCR system.
• Compatible with IDM8000 CCR.
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
• Easy in configuration using DIP switches.
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.
Automobile Management System Project Report.pdfKamal Acharya
The proposed project is developed to manage the automobile in the automobile dealer company. The main module in this project is login, automobile management, customer management, sales, complaints and reports. The first module is the login. The automobile showroom owner should login to the project for usage. The username and password are verified and if it is correct, next form opens. If the username and password are not correct, it shows the error message.
When a customer search for a automobile, if the automobile is available, they will be taken to a page that shows the details of the automobile including automobile name, automobile ID, quantity, price etc. “Automobile Management System” is useful for maintaining automobiles, customers effectively and hence helps for establishing good relation between customer and automobile organization. It contains various customized modules for effectively maintaining automobiles and stock information accurately and safely.
When the automobile is sold to the customer, stock will be reduced automatically. When a new purchase is made, stock will be increased automatically. While selecting automobiles for sale, the proposed software will automatically check for total number of available stock of that particular item, if the total stock of that particular item is less than 5, software will notify the user to purchase the particular item.
Also when the user tries to sale items which are not in stock, the system will prompt the user that the stock is not enough. Customers of this system can search for a automobile; can purchase a automobile easily by selecting fast. On the other hand the stock of automobiles can be maintained perfectly by the automobile shop manager overcoming the drawbacks of existing system.
Courier management system project report.pdfKamal Acharya
It is now-a-days very important for the people to send or receive articles like imported furniture, electronic items, gifts, business goods and the like. People depend vastly on different transport systems which mostly use the manual way of receiving and delivering the articles. There is no way to track the articles till they are received and there is no way to let the customer know what happened in transit, once he booked some articles. In such a situation, we need a system which completely computerizes the cargo activities including time to time tracking of the articles sent. This need is fulfilled by Courier Management System software which is online software for the cargo management people that enables them to receive the goods from a source and send them to a required destination and track their status from time to time.
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.
1. Signals & Systems (CNET - 221)
Chapter-1
Introduction to Signals
Mr. HANEEF KHAN
Department of CNET
Faculty of CS&IS
Jazan University
2. Text Book & Online Reference
Textbook:
A.V. Oppenheim and R.W.
Schafer, Digital Signal
Processing, Prentice-hall
E-Learning:
http://nptel.ac.in/courses/ind
ex.php?subjectId=11710407
4
General Reference:
http://web.cecs.pdx.edu/
~ece2xx/ECE222/Slides/
3. Outline of Chapter-1
Signals
1.0 Introduction
1.1 Continuous-Time & Discrete-Time Signals
1.1.l Examples and Mathematical Representation
1.1.2 Signals Energy and Power
1.2 Transformations of the Independent Variable
1.2.1 Examples of Transformations of the independent variable
1.2.2 Periodic Signals
1.2.3 Even and Odd signals
1.3 Exponential and Sinusoidal Signals
1.3.1 Continuous-Time Complex Exponential and Sinusoidal Signals
1.3.2 Discrete-Time Complex Exponential and Sinusoidal Signals
1.4 The Unit Impulse and Unit Step Functions
4. Introduction to Signals
Definition:
SIGNAL is a function or set of information representing a
physical quantity that varies with time or any other
independent variable.
Examples:
Voltage/Current in a Circuit
Speech/Music
Any company’s industrial average
Force exerted on a shock absorber
A*Sin(ῳt+φ)
7. Classifications of Signals
Signals are classified into the following
categories:
1. Continuous-Time Signals & Discrete-Time Signals
2. Even and Odd Signals
3. Periodic and Non-Periodic (aperiodic) Signals
4. Energy and Power Signals
:
8. 1. Continuous Time and Discrete Time Signals
A signal is said to be Continuous when it is defined for all instants
of time.
Example: Video, Audio
A signal is said to be discrete when it is defined at only discrete
instants of time
Example: Stock Market, Temperature
:
10. 2. Even and Odd Signals
A signal is said to be even when it satisfies the condition
X(t) = X(-t) ; X[n] = X[-n]
A signal is said to be odd when it satisfies the condition
X(-t) = -X(t) ; X[-n] = -X[n]
:
11. 3. Periodic and Non-periodic (Aperiodic) Signals
A signal is said to be periodic if it satisfies the condition
x(t) = x(t + T) or x(n) = x(n + N) for all t or n
Where T = fundamental time period, 1/T = f = fundamental frequency.
:
12. 4. Energy and Power Signals
A signal is said to be energy signal when it has finite energy.
A signal is said to be power signal when it has finite power.
NOTE:
A signal cannot be both, energy and power simultaneously. Also, a signal may be neither
energy nor power signal. Power of energy signal = 0 & Energy of power signal = ∞
:
13. Energy and Power Signals
Example 1
• Determine the energy of the given signal as in figure
Solution:
• E=x2 dt
• E=x2 dt +e -tdt
• E=4[t]+4[-e-t]+
• E=4[0-(-1)]+4[-(e∞-e0)]
• E=4+4
• E= 8 joules
Example 2
• Determine the power of the given signal as in figure
Solution:
• P=x2 dt
• P=x2 dt
• P = 1/2 [t2+1/2+1]
• P = 1/2 [t3/3]
• P = ((1/2) * 3) [13-(-1)3] = 1/3 watts
14. Basic Mathematical Operations on Signals
1. Addition
2. Subtraction
3. Multiplication
1. Addition
Example:- For the given signals x1(t) and x2(t) plot the Signal
z1(t) = x1(t) + x2(t)
Answer: As seen from the diagram above,
• -10 < t < -3 amplitude of z(t) = x1(t) + x2(t) = 0 + 2 = 2
• -3 < t < 3 amplitude of z(t) = x1(t) + x2(t) = 1 + 2 = 3
• 3 < t < 10 amplitude of z(t) = x1(t) + x2(t) = 0 + 2 = 2
15. 2. Subtraction
Example-2: For the given signals x1(t) and x2(t) plot the Signal
z1(t) = x1(t) - x2(t)
Answer: As seen from the diagram above,
-10 < t < -3 amplitude of z (t) = x1(t) - x2(t) = 0 - 2 = -2
-3 < t < 3 amplitude of z (t) = x1(t) - x2(t) = 1 - 2 = -1
3 < t < 10 amplitude of z (t) = x1(t) + x2(t) = 0 - 2 = -2
16. 3. Multiplication
Example-3: For the given signals x1(t) and x2(t) plot the Signal
z1(t) = x1(t) * x2(t)
Answer:
• As seen from the diagram above,
• -10 < t < -3 amplitude of z (t) = x1(t) ×x2(t) = 0 ×2 = 0
• -3 < t < 3 amplitude of z (t) = x1(t) ×x2(t) = 1 ×2 = 2
• 3 < t < 10 amplitude of z (t) = x1(t) × x2(t) = 0 × 2 = 0
17. Transformations of the Independent Variable
1.Time Shifting
2. Time Scaling
3. Time Reversal
1. Time Shifting:
x(t ± t0) is time shifted version of the signal x(t).
x (t + t0) →→ negative shift
x (t - t0) →→ positive shift
18. 2. Time Scaling:
x(At) is time scaled version of the signal x(t). where A is always
positive.
|A| > 1 →→ Compression of the signal
|A| < 1 →→ Expansion of the signal
Note: u(at) = u(t) time scaling is not applicable for unit step function.
19. Example:- For the given signal X(t) shown in figure below,
sketch the Time scaled signal X(2t).
Solution:
20. 3. Time Reversal:
The Time reversal of a signal x(t) can be obtained by folding the
signal about t=0, its denoted by x(-t).
Example:-
21. Example:- For the given signal X(t) shown in figure below,
sketch each of the following signals.
(a) Time scaled signal X(2t).
(b) Time shifted signal X(t+2).
(c) X(t) + X(-t).
Solution:
22. Example:- For the given signal X(t) shown in Figure-6, sketch each of the following signals.
a. Time reversed signal X(-t) .
b. Time scaled signal X(2t).
c. Time shifted signal X(t+2).
d. { X(t) + X(-t) }
e. { X(t) - X(-t) }
Solution:
23. Continuous-Time Sinusoidal And Exponential
Signals
1. Continuous-Time Sinusoidal Signal:-
• Sinusoids and exponentials are important in signal and system
analysis because they arise naturally in the solutions of the
differential equations.
• Sinusoidal Signals can expressed in either of two ways :
Cyclic frequency form-
A sin 2Пfot = A sin(2П/To)t
Radian frequency form-
A sin ωot
ωo = 2Пfo = 2П/To
To = Time Period of the Sinusoidal Wave
24. x(t) = A sin (2Пfot+ θ)
= A sin (ωot+ θ)
θ = Phase of sinusoidal wave
A = amplitude of a sinusoidal or exponential signal
fo = fundamental cyclic frequency of sinusoidal signal
ωo = radian frequency
2. Continuous-Time Exponential Signal:-
x(t) = Aeat Real Exponential
= Aejω̥t = A[cos (ωot) +j sin (ωot)] Complex Exponential
Sinusoidal signal as shown in
below figure
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
1 22 43 64 85 106 127 148 169 190 211 232 253 274 295 316 337 358 379 400 421 442 463 484 505 526 547 568 589 610 631 652 673 694 715
25. x(t) = e-at x(t) = eαt
Real Exponential Signals and damped Sinusoidal
26. Discrete Time Sinusoidal and Exponential Signals
• DT signals can be defined in a manner analogous to their
continuous-time counter part
x[n] = A sin (2Пn/No+θ)
= A sin (2ПFon+ θ)
x[n] = an
n = the discrete time
A = amplitude
θ = phase shifting radians,
No = Discrete Period of the wave
1/N0 = Fo = Ωo/2 П = Discrete Frequency
Discrete Time Sinusoidal Signal
Discrete Time Exponential Signal
27. Unit Impulse and Unit Step functions
1. Discrete-Time Unit Impulse and Unit Step Sequences
2. Continuous-Time Unit Step and Unit Impulse Functions
1. Discrete-Time Unit Impulse and Unit Step Sequences
1(a) Discrete Time Unit Impulse Function
1 , 0
0 , 0
n
n
n
for any non-zero, finite integer .
n an a
28. 1(b) Unit Step Sequence functions
1 , 0
u
0 , 0
n
n
n
29. 2. Continuous-Time Unit Step and Unit Impulse
Functions
2(a) Continuous-Time Unit Step Function
Definition: The unit step function, u(t), is defined as
That is, u is a function of time t, and u has value zero when time is
negative (before we flip the switch); and value one when time is
positive (from when we flip the switch).
30. 2(b) Unit Impulse Function
So unit impulse function is the derivative of the unit step
function or unit step is the integral of the unit impulse function
As approaches zero, g approaches a unit
step andg approaches a unit impulse
a t
t