Week 1
Signals, LTI Systems & the Frequency Domain
Connect sinusoidal parameters, convolution, spectra, and wavelength before building a communication link.
Open lectureEE 351 · Electrical Engineering
Explore how signals are represented, transformed, transmitted, and recovered—and connect the mathematics to plots, computation, and physical systems.
7 lectures availableWeeks 1–7
Lectures · Weeks 1–7
Every available lecture is listed here in teaching order. Open any week directly or use the sequence below to see how the ideas connect.
Week 1
Connect sinusoidal parameters, convolution, spectra, and wavelength before building a communication link.
Open lectureWeek 2
Trace a message through the transmitter, channel, and receiver using AM radio as the working system.
Week 3
Derive frequency translation, compare DSB-SC with DSB-TC, and interpret bandwidth and carrier power.
Week 4
Use quadrature branches and the Hilbert transform to retain USB or LSB and recover it coherently.
Week 5
Move from AM propagation to VHF FM, stereo multiplexing, RDS, SDR receivers, reuse, and regulation.
Open lectureWeek 6
Derive instantaneous frequency, deviation, modulation index, FM spectra, and Carson bandwidth.
Open lectureWeek 7
Follow a picture through raster scanning, interlacing, video bandwidth, NTSC colour multiplexing, and vestigial-sideband AM into a 6-MHz channel.
Laboratory · reading · downloads
Open the course tools and files directly—no searching through lecture slides required.
Assessment · Exam preparation
Build AM and FM problem-solving skills with eight guided exercises, worked solutions, exam variations, and an 18-minute self-test.
Start guided practiceInteractive laboratory
Compare DSB and SSB waveforms, spectra, bandwidth, power, and receiver choices.
Open laboratoryMATLAB
Generate a conventional AM waveform and inspect centered and single-sided spectra.
Download .m fileMATLAB
Compare DSB-SC and DSB-TC in time and frequency with the same source parameters.
Download .m fileMATLAB · optional
Turn an image row into a video waveform, check f = N/(2T) with an FFT, and compare DSB with VSB. Plain MATLAB, no toolboxes.
Download .m fileReference reading · PDF
The local reference used in the AM, SSB, and FM broadcasting lectures.
Open PDFTechnical course index
Search abbreviations and concepts, or filter by topic. Links use stable lecture anchors where available.
The representations and system ideas used by every later modulation topic.
A measurable quantity that carries information; sinusoidal signals are described by amplitude, frequency, and phase.
Week 1 · SinusoidsA system class defined by linearity and time invariance and characterized by its impulse response.
Week 1 · LTI systemsThe operation that combines an LTI system input with its impulse response to produce the output.
Week 1 · ConvolutionA frequency-domain view that separates a signal into its frequency components.
Week 1 · Spectrum viewsThe efficient numerical algorithm used in MATLAB to compute samples of the discrete Fourier transform.
Week 1 · MATLAB spectrumRepresenting a continuous-time waveform by values taken at discrete times for computation and plotting.
Week 1 · Sampled sinusoidThe original message-frequency region before modulation moves the information around a carrier.
Week 2 · Signal vocabularyA sinusoid whose parameter is varied so the message can occupy a selected transmission band.
Week 2 · Why modulation moves informationThe frequency region occupied after a baseband message is translated around a carrier.
Week 2 · Signal vocabularyThe physical medium between transmitter and receiver, where attenuation, noise, interference, or distortion may occur.
Week 2 · ChannelsThe frequency range used for radio transmission and for carrier-based transmitter and receiver stages.
Week 2 · AM radio chainThe transmitting end of a link, including the stages that prepare and radiate the modulated signal.
Week 2 · AM radio chainThe receiving end of a link, where the wanted channel is selected and the message is recovered.
Week 2 · AM radio chainAmplitude-modulation families, spectral components, and single-sideband generation.
A modulation family in which the carrier amplitude varies with the message signal.
Week 2 · AM exampleAn AM family that transmits both the upper and lower sidebands.
Week 3 · Two DSB formsBoth sidebands are transmitted without a carrier line; coherent recovery is required.
Week 3 · DSB-SCConventional AM with a transmitted carrier, allowing simple envelope detection.
Week 3 · DSB-TCAn AM form that transmits one sideband, reducing the required bandwidth from 2B to B.
Week 4 · Why SSBOne sideband is transmitted with no carrier component, saving bandwidth and carrier power.
Week 4 · SSB-SCSSB sent with a carrier or pilot reference to help receiver synchronization.
Week 4 · SSB-TCThe part of an AM spectrum above the carrier frequency.
Week 4 · USB equationThe part of an AM spectrum below the carrier frequency.
Week 4 · LSB equationA frequency-dependent ±90° phase shift used with quadrature branches to cancel one sideband.
Week 4 · Hilbert responseThe broadcast band used for conventional AM examples and ground-wave coverage.
Week 5 · MW propagationAngle modulation, broadcast propagation, stereo multiplexing, and receiver concepts.
Angle modulation in which the carrier's instantaneous frequency follows the message.
Week 6 · FM definitionAngle modulation in which the carrier phase varies directly with the message.
Week 6 · Angle modulationFM with a small modulation index and a spectrum concentrated near the carrier.
Week 6 · Narrowband vs widebandFM with a larger modulation index and multiple significant sidebands, as used in FM broadcasting.
Week 6 · Narrowband vs widebandThe composite FM baseband carrying mono audio, stereo difference information, the pilot, and RDS.
Week 5 · Stereo multiplexA digital service around 57 kHz inside the FM multiplex, carrying station and programme data.
Week 5 · RDSA long-distance broadcast service that uses ionospheric sky-wave propagation.
Week 5 · SW propagationHow radio energy travels; MW, SW, and VHF FM use different dominant paths and coverage patterns.
Week 5 · Three broadcast modesFM can reject many amplitude disturbances with a limiter because its information is carried in frequency.
Week 5 · Static comparisonAn engineering estimate of FM bandwidth: approximately twice the sum of peak deviation and message bandwidth.
Week 6 · Carson's ruleScanning, video bandwidth, colour multiplexing, and vestigial-sideband channels (historical analog System M).
Left-to-right, top-to-bottom scanning that turns a picture into one time-varying voltage.
Week 7 · The rasterBrightness, blanking, sync and colour burst combined in one signal; one line lasts 63.56 µs.
Week 7 · Anatomy of one lineTwo fields per frame, each carrying every second line, to hide flicker without doubling bandwidth.
Week 7 · Progressive vs interlacedThe analog colour television system: 525 lines, 29.97 frames/s, 15.734 kHz, 6-MHz System M channel.
Week 7 · NTSC timing numbersHighest useful video frequency, f = N/(2T_active); about 4.2 MHz for NTSC.
Week 7 · f = N / 2TY′ is the brightness signal for monochrome compatibility; I and Q carry colour.
Week 7 · Luminance Y′3.579545-MHz subcarrier carrying quadrature I/Q, and the burst that gives the receiver its phase reference.
Week 7 · The colour burstVestigial-sideband AM: one full sideband plus a controlled vestige of the other; used for analog TV pictures.
Week 7 · VSB filter conditionThe 6-MHz System M channel: picture carrier at +1.25 MHz, FM sound 4.5 MHz above it.
Week 7 · Anatomy of a 6-MHz channelThe computational and radio tools used to inspect real and simulated communication systems.
A radio in which functions traditionally implemented in hardware are performed in software.
Week 5 · SDR receiverThe SDR platform used in the Week 5 receiver and transmitter signal chains.
Week 5 · Pluto receiverThe computational environment used to construct signals, calculate spectra, and compare modulation forms.
Week 1 · MATLAB workflowThe block-diagram environment used to follow the FM receiver path from SDR samples to stereo and RDS.
Week 5 · Simulink receiverThe international and national framework around broadcast spectrum use.
Saudi Arabia's national communications regulator and the national authority in the Week 5 spectrum hierarchy.
Week 5 · Regulatory hierarchyThe international body that coordinates spectrum use and publishes radio recommendations.
Week 5 · ITU-R recommendationsNo index terms match that search and topic.
Official curriculum
These seven statements follow the current EE 351 Curriculum Intelligence Portal report.
Explain modulation and demodulation techniques using time- and frequency-domain representations.
Formulate mathematical models for signal transmission through various channels.
Solve communication system problems from specified system parameters and requirements.
Evaluate various channel effects on communication system performance using analytical and simulation methods.
Apply various modulation techniques and evaluate their characteristics using analytical, simulation, or laboratory methods.
Design communication systems through team-based laboratory experiments using software-defined radio.
Communicate the experimental results of communication systems as part of a team using appropriate techniques adapted to a range of audiences.
Course introduction
This learning space complements—not replaces—the classroom conversation.
We will move between physical intuition, mathematical representation, interactive plots, and MATLAB experiments. The aim is to see a communication system as a connected chain rather than a collection of isolated formulas.
In this course, we focus on signal transforms and continuous-wave modulation, which is the basic operation of analog communication systems. Initially, we give the students an insight and understanding of signals classifications, Fourier series, Fourier transform, spectrum analysis, and explore their applications in the context of analog communication systems. We then cover thoroughly amplitude modulation including the generation and reception of double-side band, single side-band, and vestigial side-band. We also cover the angle modulations (phase and frequency), the generation both the narrow and wide-band angle modulation.
How we will learn
Flipped classroom, interactive lectures, and guided problem solving.
Computer-based learning and laboratory experimentation.
Project-based learning and technical communication activities.
Quizzes; homework and classwork assignments; major and final exams; simulation/computational assignments; oral technical presentation; laboratory practical assessment; laboratory reports; and design project assignment.
This list reports methods only. The curriculum record supplies no weights here.