
Explore how telecommunication networks transfer data and information and transform across signals—from electrical, voice, or video to distant points via light wires, wireless, or wired channels, with emphasis on modulation.
Learn how a telecommunication system converts signals from source to electrical form, uses modulation to transmit over wireless, wired, or acoustic channels, and recovers them at the receiver.
The receiver antenna tunes to the target frequency, isolating the desired radio signal (e.g., 88 megahertz) and using LC circuit resonance to intensify the output.
Explore the difference between discrete-time and continuous-time signals, and how sampling uses a sampling frequency to convert a continuous signal into a discrete form for computer processing and storage.
Examine how a sinusoidal signal is sampled; a smaller sampling period increases samples per period, making the discrete signal resemble the continuous form but raising processing load.
Differentiate real signals from mixed signals by examining the domain and form of x(t), real numbers versus mixed numbers. Apply the permanent form of sinusoidal signals to simplify circuit analysis.
Explore random and definite signals in telecommunications. Random signals have unpredictable amplitudes over time (random variables), while definite signals have fixed values at each time, illustrated by capacitor voltage readings.
Explore how a sender, channel, and receiver transfer signals via electromagnetic waves, while receiver processing mitigates noise from lightning and motors using random processes and probabilities.
Examine alternating and non alternating signals in continuous and discrete time, with period concepts like x(t+T)=x(t) and examples such as sin t and |sin t|.
explains how a discrete signal, sin(omega n), is periodic only when 2 pi over omega is rational, contrasting with continuous signals and referencing integers and rational numbers.
This lecture defines casual signals as x(t)=0 for t<0 and contrasts them with non-casual signals like sign(omega t); it shows casual systems depend only on present and past inputs.
Identify even and odd signals by symmetry: even signals satisfy x(-t)=x(t) about the vertical axis, while odd signals satisfy x(-t)=-x(t) about the origin.
Model telecommunication channels with linear time-invariant systems and impulse responses, and use Fourier series to derive outputs for sinusoidal and periodic inputs.
This lecture explains Dirichlet conditions for a signal's Fourier series, identifying existing frequencies and harmonics, and shows how to compute Fourier coefficients and identify the dc and harmonic components.
Explore the Fourier series presentation form within the context of telecommunication networks engineering for course relevance.
Explore Fourier series for even and odd real signals, and learn how to compute Fourier coefficients via integrals, with discussions on the period and terms.
Explore the Fourier transform of signals, using linearity and sinusoidal components to analyze real signals, identify the DC component, and relate time shifts to frequency content.
Apply duality properties of the Fourier transform to relate time-domain and frequency-domain signals, using variables f, s, t, and F, with examples like sine and cosine and gated signals.
Explore linear time-invariant systems by analyzing impulse responses, sinusoidal inputs, and Fourier transforms to understand input-output behavior and the frequency response.
Examine how timing shifts influence signal transformation in telecommunication networks, analyzing delays, angles in the transform, and the conditions for stable, free signal flow.
Explore alternating signals and their Fourier transform, including complex transforms, periodic shifting, and frequency-domain representations essential for telecommunication signal analysis.
Explore how the Fourier transform applies to linear time-invariant systems in telecommunication networks engineering, connecting impulse response to the system output.
Design FIR filters using windowing and transform methods, analyze frequency response, and tune coefficients for a no feedback finite impulse response structure with three design methods.
Apply the Fourier transform to continuous-time signals, extract frequency components and harmonics from time-domain data, and reconstruct signals using x(omega) and its relation to f.
Explore finite impulse response filters, their limited impulse response, and guaranteed stability within the unit circle in the z-plane.
Explore h(n) for lowpass filters and design methods for high-pass, including cutoff frequencies omega_h and omega_l, and use inverse transforms to obtain time-domain results.
Apply the z-transform to derive filter coefficients from the pulse response h[n], using symmetry h[-k] = h[k] and shifting to ensure a causal filter.
Explain the overall form of H(n) for a discrete-time filter, highlighting symmetry and noncausal versus causal realizations, and how truncating terms yields a practical FIR filter.
Compute the distance between ωc and −ωc using a (1/2π) integral of e^{jω}, deriving a sine-based expression.
Explore designing FIR filters via the Fourier transform, using ideal low-pass, high-pass, and stop filters to derive pulse responses and coefficient calculations, with normalized cutoff frequency omega_c.
Explore infinite impulse response digital filters, their pole-zero structure, and design via the z-transform. Assess equalizer applications and the nonlinear versus linear phase trade-offs, noting symmetric coefficients for linear phase.
Design an analog filter and convert it to a digital filter using the bilinear transform, then verify the frequency response in MATLAB and iterate until the desired result is achieved.
Explore how IIR filter coefficients govern stability by keeping the filter inside the unit circle and the trade-off between achieving linear phase through symmetry and a reliable frequency response.
Explore how filter coefficients affect linear phase and stability, highlighting the trade-off between symmetric FIR coefficients for linear phase and maintaining stability, with emphasis on frequency response.
Explain the z-transform and its inverse using linearity and shifting, derive stable filter responses, and show impulse responses decay to zero for convergence.
Analyze power signals versus energy signals, derive the power spectrum density, and represent periodic components with cosine and sine, using Fourier transform and impulse terms.
Examine limited domain message signals, their bandwidth and frequency response, and how microphone-captured audio converts to electrical signals to transfer a message over a radio channel.
Outline the modulation goals: translate a low-frequency audio signal to radio frequency around 88 megahertz, enabling smaller antennas and improving noise immunity through amplitude, phase, and frequency modulation.
am modulation uses a cosine carrier at fc to form a band pass signal with upper and lower sidebands, highlighting double sideband concepts and 88 megahertz radio channels with dsp.
Explore amplitude modulation with a carrier at fc and a message at fm, showing sidebands at fc±fm and how energy splits between upper and lower sidebands.
Explore common domain modulation and its relation to DSP modulation, focusing on signal envelopes, carrier cosines, and sender–receiver dynamics with a powerful transmitter and simple receiver.
Explore amplitude modulation in telecommunication networks, examining how the envelope of the modulated signal relates to the message signal and how a specific condition affects this envelope.
Explore amplitude modulation by analyzing how the message signal changes the signal, creates positive and negative frequencies, and defines the modulation bandwidth.
Explore a message signal example in telecommunication networks engineering, illustrating impulse functions, domain and frequency considerations, shifts for synchronization, and carrier-related concepts.
Explore modulators and demodulators implementation, focusing on modulation principles, nonlinear element behavior, and small signal theory for transistor-based circuits.
Implement a modulator using a nonlinear function and analyze how input-output relationships shape the analogue signal. Explore spectrum, convolution, and filtering for amplitude and frequency modulation.
Explore implementing a DSP for a balanced modulator with two modulators, deriving the carrier-modulated output using cos(2π f_c t) and understanding the full-band model.
Explore angle modulation and its relation to linear modulation, showing how a message signal modulates a carrier to enable high-frequency transmission and simultaneous messaging with smaller antennas.
Explore how the message signal modulates a carrier in the radio channel, using frequency modulation or angle modulation, while considering channel noise and receiver reception via a radio antenna.
Explore how a carrier signal's instantaneous frequency becomes time dependent by incorporating the message signal, revealing the fundamentals of frequency modulation and the role of frequency deviation constants.
the lecture shows that an empty message fed into a frequency modulator can resemble phase modulation via derivative path, with frequency f_inst = f_c + k_p m'(t) rising with slope.
Explore a sinusoidal message signal read as sine or cosine, and how the modulated carrier frequency deviates with the derivative of the message signal, while the time-domain remains constant.
Explore fm frequency and fm modulation by examining frequency deviation, the relationship to the message signal, and how carrier frequency and modulating signals shape the transmitted waveform.
Explore how angle modulation shapes the spectrum of pm and fm signals, using Fourier transform to reveal sidebands, harmonics, and infinite bandwidth inherent to angle modulation.
Examine the limitation of frequencies, the role of harmonics in sinusoidal signals, and how dsp-based modulation, including phase modulation, impacts signal effectiveness as frequency changes.
Discover how harmonic numbers relate to bandwidth in frequency modulation. Identify that harmonic numbers do not depend on the message frequency, and increasing the distance between harmonics widens the bandwidth.
Explore harmonic analysis of a phase-modulated square wave, deriving Fourier series coefficients, evaluating sine and cosine integrals, and assessing the power and convergence of the modulated signal.
Increase speed in MATLAB by summing harmonic terms to approximate a signal, choosing up to 31 terms to capture about 99% of the power, yielding 63 harmonics in the band.
Apply Carson's rule to estimate modulation bandwidth from the message signal, exploring how the spectrum expands with sinusoidal or square signals and using simulations to verify results.
Explore Carson's rule using an example to analyze how frequency deviation and modulating frequency determine the FM bandwidth, reinforcing the noise resistance of FM in telecommunication networks.
Explore implementing angle modulators and demodulators using a circuit where capacitance changes with the message to modulate the carrier, and derive the carrier frequency from circuit parameters.
Learn how demodulators recover the message from a modulated signal using derivative operations implemented with op-amps and resistor networks, and analyze frequency components and circuit output.
Import u(t) into a filter to study its frequency response and linear behavior, showing how the filter's impulse response h(t) shapes the output and can be implemented with RLC circuits.
Analyze RLC circuit behavior by comparing two RC-based circuits with a common ground, examining transfer functions h1 and h2, resonance, their difference, and the resulting frequency response.
Explore how push techniques support demodulation of signals in telecommunication networks, and examine how signal output relates to input and polarity considerations.
Explore how random signals impact telecommunication networks, compare deterministic and random processes, and learn about signal transformation, modulation, and the role of electronic and electromagnetic signals.
Explore the foundations of random signals and random processes, focusing on probability density functions, random variables, and how these concepts describe outcomes over time.
Explore random variables, mapping outcomes to numbers, and their relation to sample spaces and frequencies, using dice to illustrate probability calculations and rules.
Model noise in telecommunication channels as random variables with a zero-mean gaussian process of variance sigma^2. Show how a modulated signal plus noise yields a normally distributed received signal.
The lecture covers the statistical averages of a random process, including time averages, and shows that a cosine-based example has a zero mean over its period.
learn to compute the mean of random process samples in MATLAB, visualize average behavior across time and realizations, and see how increasing sample sizes narrows the average’s variability.
Explore white processes and white noise, showing a flat power-spectrum density across frequencies, its relation to temperature and Boltzmann constant, and implications for electronic circuits.
Investigate the properties of tempered noises and their power spectrum density, including the role of temperature and averaging, and relate these results to circuit concepts in telecommunication contexts.
Explore how filters shape noise processes in telecommunication networks, analyze the power spectral density of white noise after filtering, and identify quadrature components.
Examine how to analyze the power spectrum by separating positive and negative frequencies, using symmetry and quadrature to design efficient filters and assess frequency density in telecom signals.
Investigate the properties of tempered noises, focusing on symmetry, power spectral density, and how components relate to zero density in the power spectrum.
Investigate how bandwidth relates to noise, analyze white noise power density, and determine a filter's output power using the power density integral.
Explore a lowpass filter example using a simple rc circuit, discuss its frequency response, and relate the filter output to the inverse of the time constant.
Description
In RAHEE 414 we’ll Focus on applying formulas to Telecommunications Networks then we Analyze their characteristics and behaviors. It includes Design and analysis of Telecommunications Networks. Number of examples have been solved to make you understand them better.
This course provides an introduction to the principles & techniques of design, implementation, and analysis of communication networks which is the key technology for the modern ICT systems. Each topic will have many examples which goes over them briefly with different parts. By end of each chapter there will be a quiz for you to test your understanding of that specific chapter.
Topics include basis of voice, video, data and internet communications. network topologies, architecture. By end of the course, you should be able to :
1. Understand basic and some advanced concepts and techniques of telecommunications networks.
2. Develop problem solving approaches as applied in telecommunications networking areas.
3. Able to analyze performance of basic communication networks using both analytical and simulation techniques.
4. Understand telecommunication network design techniques and practical implementation issues.
5.Understand the basic properties of internet and telecommunications traffic properties.
This course is mostly for academic level Engineering students in different universities around the world.
Instructor
The instructor of this course is Mehrad Nahouri. He has an Associates in Electrical Engineering concentration on digital field and is a lecturer at Rahsoft.
Pre-Requisite:
Probability Theory and Statistics
What is the target audience?
This course is for students working in Telecommunications field.
Undergraduate students
Electrical Engineer
Graduate students taking Telecommunications Networks course
Researchers in Telecommunications field
Course content
Introduction
Signals and Systems
Domain Modulation
Angle Modulation
Random Processes
Who this course is for:
Electrical Engineers
Electrical Engineering Students
The 4 main things the student will learn by the end of the course:
Analyze performance of basic communication networks
Understand telecommunication network design techniques
Develop problem solving in telecommunications networking areas
Understand the basic properties of internet and telecommunications traffic properties