
Explore how RF signals travel as waves, define wavelength (lambda) and frequency (f); speed v equals f times lambda, and depends on the medium (light in free space, slower underwater).
Explore RF signals from kilohertz to 300 gigahertz, including microwave frequencies, and their propagation as ground signals inside equipment or as electromagnetic fields in air.
Understand how modulation and demodulation enable RF communication, with baseband signals shifted to the carrier frequency by the transmitter and restored by the receiver, while considering bandwidth and noise.
Explore how a cosine carrier is modulated by a message signal through amplitude, frequency, or phase variations.
Explain how modulation shifts a signal's center frequency to a carrier, enabling smaller antennas at higher frequencies and allowing multiple signals to share the same bandwidth through frequency division multiplexing.
Explain amplitude modulation as an analog scheme by multiplying a message with a carrier to create a modulated signal, shifting the baseband spectrum to the carrier and doubling bandwidth.
Demodulate an amplitude modulated signal by multiplying with the transmitter carrier, use a low-pass filter to recover the baseband, and employ a phase-locked loop (pll) for carrier recovery.
The transmitter block diagram shows amplifying the message, mixing with a carrier from the oscillator to produce an amplitude-modulated signal, band-pass filtering, amplifying, and transmitting via antenna.
A received rf signal passes a band pass filter tuned to carrier. It is amplified by a noise amplifier, mixed with carrier from phase-locked loop, then filtered to baseband.
Explore quadrature amplitude modulation (QAM) that uses two orthogonal carriers, cosine and sine, to transmit two baseband signals in the same bandwidth and recover them via demodulation.
Explore digital modulation schemes, including amplitude shift keying, phase shift keying, and frequency shift keying, and see how quadrature amplitude modulation combines amplitude and phase in the digital domain.
Explore binary amplitude shift keying, mapping zero to zero voltage and one to a carrier, creating a modulated signal and a constellation diagram with no quadrature, one bit per symbol.
Describe amplitude shift keying 4-ASK to encode two bits per symbol by switching the carrier between four levels, mapping 00, 01, 11, 10 to constellation diagram symbols defined by energy.
Demodulate a four-ASK signal by multiplying by the carrier, using a low-pass filter to recover baseband symbols, then sampling and thresholding to recover transmitted bits from a four-point constellation.
Learn how binary frequency shift keying encodes bits by switching a carrier between two frequencies omega1 and omega2, using a two-oscillator plus switch configuration for robust, easy modulation.
Demonstrates binary fsk demodulation using two parallel demodulators tuned to different carrier frequencies, followed by low-pass filtering, sampling, and comparing outputs to decode binary one or zero.
Explore binary phase shift keying (BPSK) modulation, where one is represented by a zero-degree carrier and zero by a 180-degree phase, with symbol mapping and constellation on the in-phase axis.
Demodulate the BP rescue signal by multiplying with the guardian, applying a low pass filter to obtain baseband symbols, sampling, and thresholding between blue constellation points to recover bits.
Explain m-psk with 2, 4, and 8 symbol constellations, phases encoding bits, and the use of greek wording to reduce bit errors, with equal-amplitude symbols on a circle.
Learn qpsk modulation by mapping two bits to the i and q levels, modulating with cosine and sine, then summing and filtering.
Demonstrate how a QPSK signal is demodulated by splitting into in-phase and quadrature branches, mixing with a carrier, filtering, thresholding, and mapping to serial bits.
Learn how quadrature amplitude modulation combines amplitude and phase to form 16-QAM symbols, using I and Q signals to map four bits per symbol to constellation points.
Show how to generate a 16-QAM signal using IQ modulation, mapping bit pairs to I and Q levels, and combining them with a cosine carrier.
Explore 16-qam demodulation by recovering transmitted symbols amid noise, filtering the signal with a low-pass filter, using thresholds to decide levels, and mapping them to bits for parallel data.
Explore small rf transmitter and receiver modules operating at 433 megahertz with Esky modulation, and learn pin connections for data, power, ground, antenna, and how antenna extends range.
Explore active components by examining the transistor as a current controlled amplifier in a common-emitter configuration, where base current controls collector current through resistors and power supply.
Explore the mosfet amplifier as a voltage controlled device in a common source configuration, where drain current starts after a threshold gate-source voltage and grows with gate voltage.
Analyze passive components through a simple resistor circuit, where current equals voltage over resistance and depends on resistance when the supply is fixed, highlighting inductors, capacitors, transformers, and diodes.
Explore capacitive reactance in an AC circuit, where a capacitor opposes current and the current leads the voltage by 90 degrees, while reactance is inversely proportional to frequency.
Inductive reactance is the opposition an inductor offers to alternating current, increasing with frequency (X_L = 2π f L); the current lags the voltage by 90 degrees.
Understand impedance as a complex number with real resistance and imaginary reactance, and how inductive and capacitive effects vary with frequency, visualized as a two-component vector.
Explore series resonance in an RLC circuit, where X_L and X_C cancel at resonance, so the impedance equals the resistance and depends on L and C.
Explore parallel resonance in an R-L-C circuit, where X_L equals X_C at resonance and current circulates between L and C, leaving the impedance equal to the resistance.
Explore how oscillators generate the carrier frequency as a sinusoidal signal, a critical RF circuit element required for modulation and reception.
Explore linear (harmonic) oscillators for RF circuits, with sinusoidal outputs, and contrast them with nonlinear relaxation oscillators used in digital circuits; this course covers only linear types.
Explore linear oscillators with dc voltage input that generate sinusoidal output, and learn about the two main types: feedback oscillators and negative resistance oscillators.
Explore how a positive feedback oscillator produces a sustained sinusoid when the Burkhauser criteria are met: loop gain one, phase shift zero, and beta above one aided by white noise.
Learn about three types of feedback oscillators: rc, crystal, and noisy, with rc from kilohertz to megahertz, crystal up to 100 megahertz, and noisy up to a few hundred megahertz.
An rc phase shift oscillator uses a feedback network and inverting amplifier, delivering 180° via stages to satisfy burkhauser criteria and set gain to twenty nine for sinusoidal output.
Explore how a parallel lc tank, an inductor and capacitor, sustains oscillations by exchanging energy between the capacitor and the inductor, while resistance dampens them unless an external source sustains.
Explains the hartley oscillator with a transistor in common-emitter configuration. Shows the LC tank phase shifts and basel criteria, and mentions an op-amp version with L1-L2 feedback.
Explore how the Colpitts oscillator, an lc rf circuit, differs from the Hartley oscillator by replacing the coils with capacitors C1 and C2.
Explore crystal oscillators, their superior stability over rc and lc types, and how high q factors yield precise resonance from 40 kHz to 100 MHz.
Explore how crystal oscillators use the piezoelectric effect in quartz and Rochelle salt to convert electrical signals into vibration, with the inverse piezoelectric effect producing current at the same frequency.
Explore the electrical equivalent of the quartz crystal, including its shunt capacitance, resistance, and the capacitance and inductance from crystal vibration, depending on elasticity, plate area, and thickness.
Learn crystal oscillator concepts, including series and parallel resonance, impedance behavior, harmonic operation, and transistor-based feedback using the crystal as the resonant element.
Explore tunnel diode negative resistance oscillators, showing a region where current and voltage interact; bias with resistors and an lc tank to produce oscillations from 0.5 to 40 gigahertz.
Experience how a voltage controlled oscillator uses input voltage to set its output frequency, shifting from carrier frequency as Vin changes, and enabling frequency modulated signal generation.
Explore how phase noise from oscillator phase fluctuations causes frequency jitter, creating interference with neighboring signals and limiting filtering effectiveness in RF transmitters.
Understand how a mixer multiplies two signals to shift frequencies, producing sum and difference components for upconversion and down conversion. The filter selects the desired output.
Use a mixer to modulate and demodulate by multiplying the zero-hertz message with a carrier cosine, producing sum and difference frequencies; apply bandpass and low-pass filters to recover the signals.
The mixer in a superhetrodyne receiver shifts the signal to an intermediate frequency for high-gain amplification, then remodulates to zero hertz and filters it.
Explain rf filters and their symbols, and show how band pass and low pass filters eliminate unwanted frequencies to pass the modulated signal and the modulated message signal.
Explore passive and active RF filters, built from capacitors, resistors, inductors, and amplifiers, and compare low-pass, high-pass, band-pass, and band-stop frequency responses.
Convert rf power to dBm using the 10 log10(P/Pref) formula with Pref = 1 milliwatt, and see examples from 1 megawatt to 90 dBm and 1 mW to 0 dBm.
Use decibels to quantify amplification and attenuation by comparing output to input power, revealing positive gain for amplifiers and negative gain for filters, with path loss to the base station.
Explore the concept of 3 dB bandwidth by examining the minus three decibel cutoff in low-pass and band-pass filters, where gain transitions from pass-through to attenuation.
Explore the LC low-pass filter, which passes dc and low-frequency signals while blocking high frequencies. Adjust inductance and capacitance to reject high-frequency noise in RF circuits and modulation/demodulation paths.
Explain how an LC high-pass filter blocks low-frequency noise in the audible 0–20 khz range while letting higher frequencies pass, using a parallel inductor and series capacitor.
Define the Q factor of a band-pass filter using its center frequency and the difference between the upper and lower cutoff frequencies. Observe that small bandwidth yields a high Q.
Explore how the LC band pass filter uses parallel and series LC circuits to pass central frequency and reject others, adjusting bandwidth with Q factor in tank, intermediate frequency stage.
An LC bandstop filter uses a tuned LC tank and a parallel LC circuit to create a narrow notch at a center frequency, blocking that range such as 60 Hz.
Demonstrate an active low-pass filter using an operational amplifier to attenuate higher frequencies and amplify lower ones via a two-capacitor, resistor network and feedback.
discover how the order of a filter equals the number of reactive elements, illustrated by capacitors in low-pass filters, and how higher order sharpens the response.
Power amplifiers take a modulated signal, amplify it, and drive the antenna to transmit over the wireless channel, outlining amplifier classes a to f and their pros and cons.
explain class a amplifiers with a transistor in a common configuration, showing high linearity as it conducts for the full 360 degrees, while highlighting low efficiency at quiescent bias.
Explore why linear amplification is essential for preserving amplitude and phase information in quadrature amplitude modulation, and contrast with frequency and phase modulation schemes that rely on constant amplitude.
Explore class b push-pull amplifiers, where two transistors alternately conduct for 180-degree cycles, achieving high efficiency up to 78.5 percent but suffering from crossover distortion.
Explore class ab power amplifiers using glass amplifier designs that balance linearity and efficiency. Diode biasing avoids crossover distortion, yielding conduction angles above 180° and efficiencies from 50% to 78.5%.
Explore Class C amplifiers, where a transistor conducts for a small portion of the cycle, delivering high-efficiency RF oscillation via an LC tank, but with distortion unsuitable for audio.
Explore additional amplifier classes, such as class E. Transistors act as switches with short conduction cycles, delivering very high efficiency near 100 percent but high nonlinearities, limited to specialized applications.
Analyze the amplifier’s input-output power curve, noting linear gain up to the 1 dB compression point, where nonlinearity and saturation reduce gain, measuring linearity.
Learn how power amplifiers operate near the one‑dB compression point for maximum efficiency, and why reducing input power to stay in the linear region—known as backoff—avoids nonlinearities.
Analyze how third order harmonics and intermodulation limit amplifier linearity by the third order intercept; a rightward intercept indicates the third order power stays below the desired signal.
Antennas convert electrical signals into electromagnetic waves and back. Understand vertical, horizontal, and circular polarization, and how a helical antenna creates circular polarization for orientation-free reception.
Explains the essential antenna parameters, including center frequency and center wavelength, the bandwidth around that center frequency, and the electromagnetic beam pattern, setting up deeper discussion in upcoming slides.
Explain antenna gain by comparing a directional antenna to an isotropic reference, defining gain as the power in the maximum direction divided by isotropic power, expressed in dB.
Build a half-wave dipole antenna by bending the transmission line to lambda length, using the transmitter's electrical signal to radiate an electromagnetic wave over a wireless channel.
Explore how a dipole antenna's radiation pattern shows maximum power directions, defines beamwidth via the three db down points, and explains how rotation affects radiation strength.
Explore the monopole (Marconi) antenna, similar to a dipole but with a ground plane mirror, the upper element is lambda/4 and gain is about 1 dB less.
The loop antenna uses a coil to form a loop that radiates an electromagnetic signal. Shapes include circular, rectangular, triangular, or hexagonal, with length near the wavelength, for RFID.
Explore traveling wave antennas, including the Yagi and helical types, highlighting higher bandwidth, non-resonant operation, driven element and director roles, gain increases with directors, and circular polarization for satellite links.
Learn how a log-periodic directional antenna achieves wideband operation with half-wave and dipole driven elements of increasing length, where element spacing follows a logarithmic function of frequency.
The microstrip patch antenna uses a metallic strip on dielectric with square, circular, or rectangular patches, lambda by two, fabricated by photo etching; it has narrow bandwidth and insufficient radiation.
Explore horn antennas for four gigahertz and above, fed by waveguides, delivering a wide beam for geo satellites 36000 km away with a gain of about one TB.
Explore the circular parabolic reflector antenna and its high gain and narrow beam for point-to-point links. Learn how the feed point converts electrical signals to electromagnetic waves and back.
Array antennas steer a beam by adjusting each element’s amplitude and phase for constructive interference in a chosen direction, sharpening the beam without moving the antenna.
Understand impedance matching for maximum power transfer, with 50-ohm source and load (75 ohms used in cable TV), and the roles of returned loss and voltage standing wave ratio.
When the source and load are not impedance matched, part of the power reflects back as reflected power, causing reverse power and undesirable RF circuit effects.
To match source and load impedances for a complex load, set the source to the complex conjugate of the load, e.g., 25 minus 30 g becomes 25 plus 30 g.
Explain how a purely resistive load keeps reflected power constant as frequency changes, while a reactive load causes reflected power to rise with frequency.
Quantify reflected power by using return loss in dB and the voltage standing wave ratio to assess forward versus reflected power and standing waves.
Learn how to use a network analyzer to calculate the reflection coefficient gamma from load impedance and source impedance, then compute vswr with the formula (1+|gamma|)/(1-|gamma|).
Explore how VSWR relates to returned power. Perfect matching minimizes reflections, while mismatches and open/short circuits increase reflected power.
Impedance matching networks transform non-50 ohm loads, like complex antenna and device impedances, to 50 ohms for optimal power transfer.
Radio frequency (RF) is the oscillation rate of an alternating electric current or voltage or of a magnetic, electric or electromagnetic field in the frequency range from around 20 kHz to around 300 GHz.
Radio frequency engineering, or RF engineering, is the study and application of radio waves with the purpose of creating technology and devices that can both receive and send signals using these waves. RF engineering is an important component for those working in aeronautics, telecommunications, military services, commercial radio, television and space-related professions. People use radio waves to communicate on their cell phones, and RF engineers design and implementing the technology that supports 4G and 5G networks.
This is a beginner course in RF engineering that addresses important concepts, components and circuits used in the RF engineering. This course will serve as a basis to move ahead and build upon more advanced concepts in RF engineering and designs.
This course is divided into following sections:
Section 1: Introduction to RF systems
Section 2: Bigger Picture: Transmitter/Receiver Block Diagram
Section 3: Important Analog And Digital Modulation Schemes
Section 4: Revision Of Some Basic Electronics' concepts
Section 5: RF Oscillators
Section 6: Mixer and its Applications
Section 7: RF Filters
Section 8: Power Amplifiers
Section 9: Antennas
Section 10: Impedance Matching, Reflected Power & VSWR
Section 11: S (Scattering)-Parameter
Section 12: Smith Chart And Impedance Matching
Section 13: Low Noise Amplifier (LNA)
Section 14: RF Attenuators and their Types
Section 15: Introduction to Software Defined Radios (SDRs)