List of Unit Exercises

This page is a quick reference to the main topics and the end of unit exercises. It is intended to be a useful aid to revision

Unit 1: Introduction to the course

• Unit 1.1: Setting the Scene

• Unit 1.2: About this Course

• Unit 1.3: Introduction to the Concepts to be Studied

There are no exercises in this unit.

Unit 2: Signals and Systems

Unit 2.1: Signals and Classification of Signals

• Exercises 1 covers Exercise 1.1: Signals, Exercise 1.2: Uniform sampling and odd and even signals: ex1.3, Exercise 1.4, Exercise 1.5 and Exercise 1.6.

Unit 2.2: Periodic, Energy and Power Signals

Exercises 2 covers

• Example 2.1: Sum of two periodic signals

• Exercise 2.2: Periodic signals

• Exercise 2.3: Integral properties of periodic signals

• Exercise 2.4: Power in a periodic signal

• Exercise 2.5: Power and energy signals and

• Exercise 2.6: Power in domestic mains electricty

Unit 2.3: Elementary Signals

Exercises 3 - Elementary Signals covers

• Exercise 3.1: Other forms of unit step

• Exercise 3.2: Synthesis of Signals from Unit Step

• Exercise 3.3: Important properties of the delta function and

• Exercise 3.4: Signal Synthesis

Unit 2.4: Systems and Classification of Systems

Exercises 4 covers

• Exercise 4.1: RC Circuit

• Exercise 4.2: Capacitor circuit

• Exercise 4.3: Signal modulator

• Exercise 4.4

• Exercise 4.5

• Exercise 4.6 and

• Exercise 4.7

Unit 3: Linear Time-Invariant Systems

Unit 3.1: Response of a Continuous-Time LTI System and the Convolution Integral

Exercises 5: Responses of a Continuous-Time LTI System and Convolution covers

• Exercise 5.1

• Exercise 5.2

• Exercise 5.3

• Exercise 5.4

• Exercise 5.5 and

• Exercise 5.6

Unit 3.2: Properties and Eigenfunctions of Continuous-Time LTI Systems

Exercises 6: Properties of Continuous-Time LTI Systems covers

• Exercise 6.1

• Exercise 6.2

• Exercise 6.3

• Exercise 6.4

• Exercise 6.5 and

• Exercise 6.6

and

Exercises 7: Eigenfunctions of Continuous-Time LTI systems covers

• Exercise 7.1

• Exercise 7.2 and

• Exercise 7.3

Unit 3.3: Systems Described by Differential Equations

Exercises 8: Systems described by differential equations covers

• Exercise 8.1

• Exercise 8.2

• Exercise 8.3

• Exercise 8.4

• Exercise 8.5

• Exercise 8.6

• Exercise 8.7 and

• Exercise 8.8

Unit 4: Laplace Transforms and their Applications

Unit 4.1: The Laplace Transformation

Exercises 9 has just one exercise Exercise 9.1.

Unit 4.2: Laplace Transform of Some Common Signals

Has no exercises.

Unit 4.3 Properties of the Laplace Transform

Exercises 10: Laplace transforms of common waveforms covers

• Exercise 10.1: Pulse

• Exercise 10.2: Line segment

• Exercise 10.3: Triangular Pulse

• Exercise 10.4: Square Wave and

• Exercise 10.5: Half-rectified Sinewave

Unit 4.4 The Inverse Laplace Transform

Exercises 11: Inverse Laplace Transforms covers

• Exercise 11.1: Real Poles

• Exercise 11.2: Cubic with Real Poles

• Exercise 11.3: System with Complex Poles

• Exercise 11.4: Repeated Real Poles and

• Exercise 11.5: Non-proper rational polynomial

Unit 4.5: Using Laplace Transforms for Circuit Analysis

Exercises 12 covers

• Exercise 12.1: RC circuit solved by KCL

• Exercise 12.2: RC circuit solved by KVL

• Exercise 12.3: A complex RLC circuit with initial conditions

• Exercise 12.4: RLC circuit

• Exercise 12.5: Complex Impedance

• Exercise 12.6: Complex admittance and

• Exercise 12.7: Admittance and time response

Unit 4.6: Transfer Functions

Exercises 13: Transfer functions covers

• Exercise 13.1: RC circuit

• Exercise 13.2: Step response

• Exercise 13.3: Impulse response from step response

• Exercise 13.4: Convolution

• Exercise 13.5: Differential equation 1

• Exercise 13.6: Differential equation 2

• Exercise 13.7: Differential equation 3 and

• Exercise 13.8: Feedback

Unit 4.7: Transfer Functions for Circuit Analysis

Exercises 14 covers

• Exercise 14.1 and

• Exercise 14.2

Unit 4.8: Computer-Aided Systems Analysis and Simulation

Exercises 15 covers

• Exercise 15.1

• Exercise 15.2: Periodic Excitation

• Exercise 15.3: Operational Differentiator and

• Exercise 15.4: Operational Integrator

Unit 5: Pole-Zero Analysis

Unit 5.1: Qualitative Properties of Signals and Transfer functions

There are no exercises in this unit.

Unit 5.2: More on the Qualitative and Quantitative Response of First- and Second-Order Poles

Exercises 16 covers

• Exercise 16.1: Qualitative analysis

• Exercise 16.2: Qualitative and quantitative analysis

• Exercise 16.3: Spring-Mass-Damper System

Unit 6: Frequency Response Analysis

Unit 6.1: Frequency Response of a Transfer Function

There are no exercises in this unit.

Unit 6.2: Bode Plots

There are no exercises in this unit.