Undergraduate course on Signals and Systems(course-I) from Udemy

This is an undergraduate course on signals and systems. This course is first one in a series of two courses on basics of signals and systems

For any electrical, electronics, Instrumentation or bio-medical engineering student understanding basics of signals in continuous time(CT) domain and in discrete time(DT) domain is a must. This course gives an in-depth coverage of all the fundamentals required for signal processing in both the domains. This can also be taken as a refresher course to understand 'Digital signal processing'.

The organisation and coverage of topics is as follows:

Introduction to signals: This module begins with basic definition of signal and system. The primary classification of signals and independent variables in signal representation are well explained. Then we will move on to the operations performed on independent variable like time and their order of precedence.

Classification of signals: Periodic and aperiodic signal classification is explained with sinusoidal signals and real exponential signals in detail. Another classification energy and power signals is given with all necessary examples. Finally, even and odd signals classification and its extension conjugate symmetric and conjugate anti symmetric signal classification is explained.

Standard signals: An in-depth coverage of singularity functions like unit-impulse, unit-step and unit-ramp signals are given in this chapter. All these signals are defined graphically and mathematically in both CT and DT domains. Properties of signals and relation between singularity functions is also explained. And other signals like signum function, sinc function etc., are also covered.

System properties: All the system properties that is Linearity, time invariance, causality, stability, memory and invertibility are well explained with standard examples.

About Author:

Mr. Udaya Bhaskar is an undergraduate university level faculty and GATE teaching faculty with more than 16 years of teaching experience. His areas of interest are signal processing, semiconductors, digital design and other fundamental subjects of electronics. He trained thousands of students for GATE and ESE examinations.

What's inside

Syllabus

Introduction

Definition of signal and system

Independent Variables- Time and frequency

Note on independent variables

Traffic lights

Read about what's good

what should give you pause

and possible dealbreakers

Provides an in-depth coverage of fundamental signal processing concepts in both continuous time (CT) and discrete time (DT) domains, which are essential for engineering students

Taught by an experienced faculty member who has trained thousands of students for GATE and ESE examinations, which may be helpful for exam preparation

Serves as a refresher course for understanding digital signal processing, which is useful for students looking to build upon their existing knowledge

Explores system properties such as linearity, time invariance, causality, stability, memory, and invertibility with standard examples, which are core concepts in undergraduate studies

Covers standard signals like unit-impulse, unit-step, and unit-ramp signals in detail, defining them graphically and mathematically in both CT and DT domains, which builds a strong foundation

Functions as the first course in a series of two, which means that learners may be expected to take the second course to gain a more complete understanding

Reviews summary

Foundational signals and systems course

According to learners, this introductory course provides a solid foundation in the fundamentals of Signals and Systems, covering essential topics in both continuous-time and discrete-time domains. Many students found the lectures clear and well-structured, particularly appreciating the instructor's methodical explanations and numerous solved examples. However, some reviewers noted that the course is heavily theoretical and could benefit from more practical applications or assignments to reinforce concepts. A few mentioned the difficulty level ramps up quickly in later sections. Overall, it is seen as a valuable starting point for the subject, especially for engineering students.

Plenty of helpful examples are included.

"The solved examples in the lectures were very helpful in understanding how to apply the theory."

"Lots of good examples are worked through step-by-step, which I really appreciated."

"Solving along with the examples solidified my understanding."

Excellent course for foundational concepts.

"This course provides an excellent foundation in the basics of signals and systems."

"It helped me build a strong understanding of the core principles needed for further study."

"A really good starting point for anyone new to the subject."

"Gave me the fundamental knowledge required for my degree program."

Instructor provides very clear explanations.

"The instructor explains concepts very clearly, making complex topics easy to grasp."

"His teaching method is methodical and clear, which is essential for this subject."

"I found the explanations incredibly easy to follow, much clearer than other resources."

"The lectures were clear and easy to understand, perfect for beginners."

Pace becomes challenging later on.

"The initial modules are straightforward, but the difficulty seems to increase significantly later."

"Some parts felt a bit rushed towards the end compared to the beginning."

"Found myself needing extra resources to keep up with the pace in the later topics."

Focuses heavily on theory, less on application.

"The course is quite theoretical; I wish there were more practical examples or lab assignments."

"Very strong on the mathematical and theoretical side, but lacks real-world applications."

"Could use more hands-on problems or projects to balance the theory."

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Undergraduate course on Signals and Systems(course-I) with these activities:

Review Calculus Fundamentals

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Strengthen your understanding of calculus concepts, which are essential for analyzing signals and systems.

Browse courses on Calculus

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Review differentiation and integration techniques.
Practice solving problems involving limits and continuity.
Work through examples of differential equations.

Schaum's Outline of Signals and Systems

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Use a Schaum's Outline to get more practice problems and reinforce your understanding.

View Schaum's Outline of Signals and Systems, Fourth... on Amazon

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Obtain a copy of Schaum's Outline of Signals and Systems.
Work through the solved problems related to each topic covered in the course.
Attempt the supplementary problems for additional practice.

Signals and Systems by Alan V. Oppenheim and Alan S. Willsky

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Supplement your learning with a comprehensive textbook that provides in-depth explanations and examples.

View Signals and Systems (Second Edition) on Amazon

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Read the chapters corresponding to the course syllabus.
Work through the example problems in the book.
Attempt the end-of-chapter problems for practice.

Four other activities

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Solve Signal Transformation Problems

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Reinforce your understanding of signal transformations by solving a variety of practice problems.

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Find practice problems online or in textbooks.
Solve problems involving time shifting, scaling, and inversion.
Check your answers and review the solutions.

Tutor a classmate

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Reinforce your understanding by explaining concepts to others.

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Offer to help a classmate who is struggling with the material.
Explain the concepts in your own words.
Answer their questions and provide examples.

Create a Signal Visualization Tool

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Solidify your understanding of signals by creating a tool that visualizes different types of signals and their transformations.

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Choose a programming language (e.g., Python, MATLAB).
Implement functions to generate standard signals (impulse, step, ramp, sine).
Implement functions to perform signal transformations (time shift, scale, invert).
Create a user interface to visualize the signals and transformations.

Create a cheat sheet

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Summarize key concepts and formulas for quick reference.

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Review your notes and textbook.
Identify the most important concepts and formulas.
Organize the information in a clear and concise format.

Career center

Learners who complete Undergraduate course on Signals and Systems(course-I) will develop knowledge and skills that may be useful to these careers:

Signal Processing Engineer

A Signal Processing Engineer analyzes, designs, and develops signal processing systems. This role often involves working with both continuous-time (CT) and discrete-time (DT) signals, which are fundamental concepts covered in this course. Therefore, this course gives you a foundation in signal classification, standard signals, and time-domain operations, all essential for manipulating and interpreting signals in various applications. One who endeavors to become a Signal Processing Engineer should take this course to build a solid understanding of basic definitions in signal and system, the concept of independent variables, and signal classifications like periodic/aperiodic, energy/power, and even/odd, as the Signal Processing Engineer must use these principles to apply signal processing techniques to extract meaningful information from noisy data.

See salaries and explore the career path for Signal Processing Engineer

Control Systems Engineer

A Control Systems Engineer designs and implements systems that regulate dynamic processes. This position involves a deep understanding of signals and systems, particularly how systems respond to different inputs. This course provides a thorough introduction to signal classification and system properties like linearity, time invariance, causality, and stability, key determinants of how a control system will perform. The course's focus on both CT and DT domains also directly applies to designing both analog and digital control systems. Consider enrolling in this course to understand signal operations, periodic signals, energy and power, and even and odd signal representations to become a Control Systems Engineer.

See salaries and explore the career path for Control Systems Engineer

Telecommunications Engineer

Telecommunications Engineers are responsible for designing and maintaining telecommunications systems. The course's treatment of signal properties, time and frequency domains, and signal classifications provides a strong basis for understanding how signals are transmitted, received, and processed. This course's in-depth coverage of signals in CT and DT domains is precious since telecommunications systems handle signals in both domains. You may wish to take this course, which reviews the basics of signals and systems, including independent variables, signal construction, and operation precedence to become a Telecommunications Engineer.

See salaries and explore the career path for Telecommunications Engineer

Audio Engineer

An Audio Engineer works with sound signals, recording, mixing, and mastering audio. An understanding of signal properties, such as frequency content, amplitude, and time-domain characteristics, is critical. This course's explanation of periodic signals, energy and power signals, and the impact of operations on these signals provides the baseline knowledge required to manipulate and analyze audio signals effectively. Audio Engineers often employ digital signal processing techniques, so this course's thorough coverage of CT and DT domains makes it supremely valuable. To be an effective Audio Engineer, consider this course to learn signal definition, classification, and standard signals.

See salaries and explore the career path for Audio Engineer

Image Processing Engineer

An Image Processing Engineer develops algorithms to process and analyze images. Images can be thought of as two-dimensional signals, and the principles of signal processing apply directly. This course's focus on signal classification, standard signals, and operations on signals can be extended to image processing tasks like filtering, enhancement, and compression. The concepts of even and odd signals, conjugate symmetry, and anti-symmetry covered in the course may be helpful for understanding image transforms and processing techniques. One who wishes to become an Image Processing Engineer may take this course as a refresher on signals and systems.

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Robotics Engineer

Robotics Engineers design, build, and program robots. Signal processing is essential for interpreting sensor data and controlling robot movements. The signal knowledge provided by the course, including signal classification and descriptions of system properties, provides a foundation for understanding how robots perceive and interact with their environment. The course’s overview of CT and DT signals is valuable as robots often use both analog and digital sensors. This course reviews finite duration sequences, sampling, and interpolation that may assist in understanding robot kinematics and dynamics. You may find this course useful if you are an aspiring Robotics Engineer.

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Biomedical Engineer

Biomedical Engineers apply engineering principles to healthcare. Signal processing is crucial for analyzing biomedical signals such as ECG, EEG, and EMG. This course provides an in-depth coverage of the fundamentals required for signal processing, including signal classification, standard signals, and system properties. The course's emphasis on both continuous-time and discrete-time domains is particularly relevant as biomedical signals are often analyzed in both domains. An aspiring Biomedical Engineer may find this course useful as it refreshes knowledge in signal definitions, independent variables, and signal operations like time shifting, time scaling, and time inversion.

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Data Scientist

Data Scientists analyze large datasets to extract meaningful insights. While not immediately apparent, signal processing techniques can be valuable for analyzing time-series data like stock prices, weather patterns, or sensor readings. This course provides a foundational understanding of signal properties, transformations, and analysis techniques. Grasping signal classification, energy and power signals, and even and odd components covered in the course creates a basis for exploring more advanced time-series analysis methods. Data Scientists hoping build a foundation in time series analysis may find this course useful.

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Software Engineer

Software Engineers design and develop software applications. This course can improve specific roles where signal processing is involved, such as audio processing software or data analysis tools. The understanding of signals and systems gained from the course may be useful when implementing signal processing algorithms or working with time-series data. The course's coverage of CT and DT signals may be helpful when developing software for applications where signals need to be processed in real-time or analyzed offline. Software Engineers seeking to broaden knowledge of signal processing foundations may find this course helpful.

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Research Scientist

A Research Scientist conducts experiments and analyzes data to advance scientific knowledge. Depending on the field, signal processing may be a key tool for analyzing experimental data. This course provides a strong foundation in signal properties, transformations, and systems analysis. An aspiring Research Scientist may better analyze data using the principles signal construction, classification of signals, properties of systems that this course teaches.

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Acoustic Consultant

Acoustic Consultants assess and mitigate noise and vibration issues. They use their understanding of sound as a signal to analyze acoustic environments and recommend solutions. This course provides a foundation in signal properties and analysis, which may be valuable for understanding sound propagation, interference, and absorption. This course's coverage of periodic signals, energy and power calculations, and signal operations may assist Acoustic Consultants. Consider this course to build an understanding of time and frequency domain concepts, fundamental to understanding acoustic phenomena and their effects on the human environment.

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Financial Analyst

Financial Analysts analyze financial data to provide investment recommendations. While it may not be immediately obvious, financial time series data can be analyzed using signal processing techniques. This course provides a solid foundation in signal properties and analysis, which may be helpful for understanding trends and patterns in financial markets. By understanding signal characteristics, such as periodicity and power, a Financial Analyst may improve forecasting and risk management strategies. This course reviews signal classification, and may be useful to Financial Analysts seeking to broaden their understanding of time series data.

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Machine Learning Engineer

Machine Learning Engineers develop algorithms that enable computers to learn from data, and even though it seems unrelated, this course gives insight into understanding time-series data. The course provides an appreciation of signals and systems. While not a direct application, the fundamental concepts taught in the course may offer a fresh perspective when dealing with sequential data. This course deals with independent variables of time and frequency, and may assist the Machine Learning Engineer in feature engineering. If you are so motivated, consider Machine Learning to understand the fundamentals of electronics.

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Semiconductor Device Engineer

Semiconductor Device Engineers design, develop, and manufacture semiconductor devices, and this course may be useful in this endeavor. Understanding signals is essential for designing and testing circuits. The course's coverage of signals and systems may provide a foundational understanding helpful for analyzing circuit behavior. The course's insights into signals and systems may assist the Semiconductor Device Engineer. Consider this course only as a refresher in electronics.

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Technical Writer

Technical Writers create documentation for technical products and processes. While seemingly unrelated, an understanding of technical concepts can be very valuable. This course provides an overview of signals and systems, which may enhance the ability to understand and explain technical products involving signal processing. An understanding of signal definitions, classifications, and standard signals would benefit Technical Writers. This course may be useful for one who wishes to write technical documentation.

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Undergraduate course on Signals and Systems(course-I)

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Syllabus

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Reviews summary

Foundational signals and systems course

Activities

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