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Principles of Signals and Systems

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671 min

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Why enroll

This course builds strong fundamentals required for DSP, communication, and control systems.It is ideal for students and professionals preparing for university exams and competitive exams.Participants gain clear concepts that are essential for higher studies and real-world engineering problems.

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Is this course for you?

You should take this if

You work in Electronics & Instrumentation or Telecommunication
You're a Electronics & Telecommunication / Electrical Engineering professional
You have 3+ years of hands-on experience in this field
You want to build skills in Engineering & Design, Project Management

You should skip if

You're new to this field with no prior experience
You need a different specialisation outside Electronics & Telecommunication
You need live interaction with an instructor

Course details

This course introduces the basic ideas of signals and systems in a clear and structured way.Students will learn how to identify and classify different types of signals used in real-life applications.The course explains how systems work, especially Linear Time-Invariant (LTI) systems, using simple examples.Important concepts like convolution, impulse response, and frequency response are covered in detail.You will understand how signals behave in time and frequency domains.Mathematical tools such as Fourier Series, Fourier Transform, Laplace Transform, and Z-Transform are explained step by step.Discrete-time concepts like DTFT and DFT are introduced with practical relevance.System properties such as causality, stability, and linearity are emphasized for strong fundamentals.Basic system structures like cascade and parallel forms are discussed with applications.The course also introduces state-space methods to analyze and solve system equations.

Source: Principles Of Signal and Systems - IITK [Youtube Channel]

Course suitable for

Key topics covered

Introduction – Principles of Signals and Systems
Introduction to Signals and Systems
Signal Classification
Analog and Digital Signals
Energy and Power Signals
Real Exponential Signals
Memory and Memory-less Systems
Causal and Non-Causal Systems
Properties of Linear Systems
Example Problems – 1
Example Problems – 2
Example Problems – 3
Properties and Analysis of LTI Systems – I
Properties and Analysis of LTI Systems – II
Properties and Analysis of LTI Systems – III
Properties of Discrete-Time LTI Systems
Example Problems on LTI Systems – I
Example Problems on LTI Systems – II
Example Problems on Discrete-Time LTI Systems
Laplace Transform
Laplace Transform Properties – I
Laplace Transform Properties – II
Laplace Transform of LTI Systems
Laplace Transform Example Problems – I
Laplace Transform Example Problems – II
Laplace Transform of RL and RC Circuits
Z-Transform

Course content

The course is readily available, allowing learners to start and complete it at their own pace.

25 lectures11 hr 11 min

Introduction - Principles of Signals and Systems
5 min
Introduction to Signals and Systems, Signal Classification
32 min
Analog and Digital Signals
41 min
Energy and Power Signals
28 min
Real Exponential Signals
20 min
Memory/Memory-less and Causal/ Non-Causal Systems
25 min
Properties of Linear Systems
31 min
Example Problems-1
22 min
Example Problems-2
28 min
Example Problem-3
19 min
Properties and Analysis of LTI Systems-I
32 min
Properties and Analysis of LTI Systems-II
29 min
Properties and Analysis of LTI Systems-III
19 min
Properties of Discrete Time LTI Systems
27 min
Example Problems LTI Systems-I
30 min
Example Problems LTI Systems-II
33 min
Example Problems DT-LTI Systems
25 min
Laplace Transform
29 min
Laplace Transform Properties-I
27 min
Laplace Transform Properties-II
35 min
Laplace Transform of LTI Systems
34 min
Laplace Transform Example Problems-I
25 min
Laplace Transform Example Problems-II
28 min
Laplace Transform of RL, RC Circuit
22 min
Z-Transform
25 min

Opportunities that await you!

Skills & tools you'll gain

Engineering & Design

Project Management

Research & Developmnet

Career opportunities

Why people choose EveryEng

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Questions and Answers

Q: You're reviewing a subcontractor control model and notice the input signal is ramped from 0 to 5 V over 10 ms instead of the specified 100 ms. Search phrase: ramp input effect on LTI system output overshoot. For a stable second-order LTI system with ζ = 0.6 and ωn = 50 rad/s, what happens downstream at the output and what's the least-wrong response before launch?

A: Governing principle: time-domain input shaping alters frequency content seen by an LTI system. Applied here: a faster ramp approximates a step, exciting modes near ωn and increasing overshoot without changing steady-state gain; correcting the ramp or filtering removes the excitation at source. Trap: option B catches engineers who know DC gain rules but misapply them to transient behavior.

Q: During pre-commissioning, you're doing a loop check on an automotive ECU analog input. Search phrase: field loop check sequence for analog input ECU. The sensor outputs 0.5–4.5 V, scaled to 0–100 units. What's the correct verification sequence under time pressure?

A: Governing principle: verify from the electrical interface inward before relying on derived data. Applied here: pin-level injection confirms ADC range and scaling independent of sensor or bus layers; then software units are checked. Trap: option D tempts engineers used to system tests, but it hides pin mapping and offset errors.

Q: A digital low-pass filter is used as a noise safeguard before a torque command. Search phrase: what does digital low pass filter not protect against torque signal. The cutoff is 20 Hz. If the filter fails stuck-at-1 output, what physical risk remains unmitigated?

A: Governing principle: a low-pass filter limits rate and high-frequency energy, not logic faults. Applied here: a stuck-at output removes attenuation, reintroducing sharp torque steps and mechanical jerk. Trap: option D attracts engineers thinking sampling theory, but the failure is logical, not spectral.

Q: You're sanity-checking a subcontractor's claim. Search phrase: estimate bandwidth from rise time rule of thumb. A sensor step response shows 10–90% rise time of 7 ms. Order-of-magnitude bandwidth?

A: Governing principle: first-order systems link rise time and bandwidth by a fixed constant. Applied here: 0.35 / 0.007 s gives roughly 50 Hz, enough to flag an exaggerated claim. Trap: option C catches those mixing rad/s intuition with Hz without the 2π and constant.