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Antenna and Wave Propagation (4341106) - Summer 2023 Solution

20 mins· ·
Study-Material Solutions Antenna Wave-Propagation 4341106 2023 Summer
Milav Dabgar
Author
Milav Dabgar
Experienced lecturer in the electrical and electronic manufacturing industry. Skilled in Embedded Systems, Image Processing, Data Science, MATLAB, Python, STM32. Strong education professional with a Master’s degree in Communication Systems Engineering from L.D. College of Engineering - Ahmedabad.
Table of Contents

Question 1(a) [3 marks]
#

Write any three properties of Electromagnetic waves

Answer:

Properties of Electromagnetic Waves
1. EM waves can travel through vacuum or material media
2. EM waves travel at the speed of light in free space (3×10⁸ m/s)
3. EM waves exhibit transverse wave characteristics with oscillating electric and magnetic fields

Mnemonic: “VTS” - Vacuum travel, Transverse nature, Speed of light

Question 1(b) [4 marks]
#

Define: (1) Radiation resistance (2) Directivity (3) Gain

Answer:

TermDefinition
Radiation resistanceThe equivalent resistance that would dissipate the same amount of power as radiated by an antenna when the current at the feed point is equal to the antenna input current
DirectivityThe ratio of maximum radiation intensity in a specific direction to the average radiation intensity in all directions
GainThe product of directivity and radiation efficiency, measuring how efficiently an antenna converts input power into radio waves in a specific direction

Mnemonic: “RDG” - Resistance dissipates power, Direction concentration, Gain includes efficiency

Question 1(c) [7 marks]
#

Explain physical concept of generation of Electromagnetic waves with neat diagram

Answer:

Electromagnetic waves are generated when electric charges accelerate or oscillate, creating coupled oscillating electric and magnetic fields that propagate through space.

graph TD
    A[Electric Current Flow] -->|Oscillation| B[Oscillating Electric Field]
    B -->|Induces| C[Oscillating Magnetic Field]
    C -->|Induces| D[Oscillating Electric Field]
    D --> E[Self-sustaining wave propagation]

Diagram: Dipole Antenna EM Wave Generation

Oscill~atorEMlaegcntertiiccffiieellddl>liinneess
  • Basic concept: When AC current flows in the antenna, electrons accelerate up and down
  • Electric field: Created by charge separation in the antenna
  • Magnetic field: Produced by the current flow, perpendicular to electric field
  • Propagation: Fields detach from antenna and propagate outward at the speed of light
  • Self-sustaining: Each field component regenerates the other as wave travels

Mnemonic: “COMAP” - Current Oscillations Make Alternating Propagations

Question 1(c) OR [7 marks]
#

Design 4 Element Yagi Uda antenna for frequency of 435 MHz with necessary equations

Answer:

For a 4-element Yagi-Uda antenna at 435 MHz:

ElementLength FormulaSpacing FormulaCalculated Value
Reflector0.5λ × 1.05-36.2 cm
Driven element0.5λ-34.5 cm
Director 10.45λ0.2λ from driven31.0 cm at 13.8 cm spacing
Director 20.43λ0.25λ from Director 129.6 cm at 17.2 cm spacing

Equations used:

  • Wavelength: λ = c/f = 3×10⁸/435×10⁶ = 0.69 meters
  • Half-wave dipole: L = 0.5λ = 34.5 cm
  • Element spacing: S = 0.15λ to 0.25λ
graph LR
    A[Reflector: 36.2cm] --- B[Driven Element: 34.5cm]
    B --- C[Director 1: 31.0cm]
    C --- D[Director 2: 29.6cm]

    style A fill:#f9f,stroke:#333,stroke-width:2px
    style B fill:#bbf,stroke:#333,stroke-width:2px
    style C fill:#fbb,stroke:#333,stroke-width:2px
    style D fill:#fbb,stroke:#333,stroke-width:2px

Mnemonic: “RDDS” - Reflector Driven Directors Shrink

Question 2(a) [3 marks]
#

Explain Loop antenna with diagram

Answer:

Loop antenna is a radiating element formed by shaping a conductor into a loop.

FeedpCouirnrtentflow
  • Small loops: Circumference < λ/10, radiation pattern similar to magnetic dipole
  • Large loops: Circumference ≈ wavelength, bidirectional radiation pattern
  • Applications: Direction finding, AM radio reception, RFID tags

Mnemonic: “SLC” - Size affects Loop Characteristics

Question 2(b) [4 marks]
#

Explain Non Resonant wire antenna

Answer:

CharacteristicDescription
DefinitionAntenna operating at frequencies where its physical length is not a multiple of half-wavelength
ImpedanceComplex with both resistive and reactive components
Standing wavesPresent along the antenna length
ExampleRhombic antenna, terminated with resistance at the end
AdvantageWideband operation, suitable for multiple frequencies

Mnemonic: “NITRO” - Non-resonance Incurs Termination for Resistance and Operation

Question 2(c) [7 marks]
#

What is Radiation resistance of half wave dipole? Draw radiation patterns of Dipoles of length λ/2, λ and λ/4 antenna

Answer:

The radiation resistance of a half-wave dipole is approximately 73 ohms.

Radiation patterns:

270λ°/-(2-1F08iD°0gi-°up9ro0el°-e8)vs.270(°M-uλ-l-tD+1ii0-8pp°-0lo-°el9e0l°obesv)s.270°λ-(/-B4-r+1oD0-8ai°-0dp-°o9pl0ae°ttern)
Dipole LengthPattern Characteristics
λ/2 dipoleFigure-8 pattern; maximum radiation perpendicular to antenna axis; HPBW = 78°
λ dipoleMulti-lobed pattern; four main lobes at angles to antenna axis
λ/4 dipoleBroader pattern than λ/2; requires ground plane to complete the equivalent dipole

Mnemonic: “SHORT” - Smaller Half-dipole Offers Rounded-Transmissions

Question 2(a) OR [3 marks]
#

Explain Folded dipole antenna with figure

Answer:

Folded dipole is a variation of the half-wave dipole with ends folded back and connected to form a loop.

Feedpoint
  • Input impedance: Approximately 300 ohms (4 times that of simple dipole)
  • Bandwidth: Wider than simple dipole
  • Applications: TV reception, FM radio, balanced transmission lines

Mnemonic: “FIB” - Folded Increases Bandwidth

Question 2(b) OR [4 marks]
#

Explain Rhombic antenna with figure

Answer:

Rhombic antenna consists of four wires arranged in a rhombus or diamond shape.

FeedADDirreacdtiiaotnioonfBCTermination
CharacteristicDescription
ShapeDiamond/rhombus with terminating resistor at far end
OperationNon-resonant traveling-wave antenna
DirectivityHigh gain, unidirectional pattern
BandwidthVery wide frequency range
ApplicationsHF communications, point-to-point links

Mnemonic: “TREND” - Terminated Rhombic Enables Numerous Directions

Question 2(c) OR [7 marks]
#

Differentiate between Broadside array and End fire array with suitable diagram

Answer:

ParameterBroadside ArrayEnd fire Array
Direction of maximum radiationPerpendicular to array axisAlong array axis
Element phasingSame phase (0°)Progressive phase shift
Element spacingλ/2 typicallyλ/4 typically
Radiation patternFan-shaped beamPencil-shaped beam
ApplicationsBroadcasting, base stationsPoint-to-point links

Diagram comparison:

BrooaMdasAidirnidorreareyacAdtrAiirxaoaoitnysionooMaidEAninorrdrreaacfydtiiirAaoeoxtniiAsornrayo

Mnemonic: “PAPER” - Perpendicular And Parallel Emission Respectively

Question 3(a) [3 marks]
#

Draw and Explain Inverted V antenna

Answer:

Inverted V antenna is a dipole with arms angled downward, resembling an inverted “V”.

FeedSpuopipnotrt
  • Angle: Arms typically form 90°-120° angle
  • Impedance: Close to 50 ohms, lower than horizontal dipole
  • Pattern: Omnidirectional, slightly broader than horizontal dipole
  • Applications: Amateur radio, shortwave communications

Mnemonic: “AVS” - Angle Varies Signal

Question 3(b) [4 marks]
#

Draw and explain parabolic reflector antenna

Answer:

FeedFocus
ComponentFunction
Parabolic reflectorCollects and focuses incoming signals or directs transmitted signals
Feed elementLocated at focal point of parabola to collect/emit signals
Focal lengthDistance from vertex to focus, determines beam characteristics
ApplicationsSatellite communications, radar, radio astronomy, microwave links

Mnemonic: “FOLD” - Focus Of Large Dish

Question 3(c) [7 marks]
#

Write down range of frequencies for HF, VHF and UHF. Write short note on Microstrip antenna.

Answer:

Frequency BandRange
HF (High Frequency)3 MHz - 30 MHz
VHF (Very High Frequency)30 MHz - 300 MHz
UHF (Ultra High Frequency)300 MHz - 3 GHz

Microstrip Antenna:

DRiGaerdloieuacnttdirniPgclaPSnauetbcshtrateh
  • Structure: Conductive patch on dielectric substrate with ground plane
  • Feeding methods: Microstrip line, coaxial probe, aperture-coupled
  • Advantages: Low profile, lightweight, easy fabrication, compatible with PCB
  • Limitations: Narrow bandwidth, low gain, low power handling
  • Applications: Mobile devices, RFID, GPS, satellite communications

Mnemonic: “PATCH” - Planar Antenna That’s Cheaply Handled

Question 3(a) OR [3 marks]
#

Write Morse code for word: “LINE OF SIGHT”

Answer:

LetterMorse Code
L.-..
I..
N-.
E.
(space)/
O
F..-.
(space)/
S
I..
G–.
H….
T-

“LINE OF SIGHT” in Morse code: .-.. .. -. . / — ..-. / … .. –. …. -

Mnemonic: “Listen In Now, Every Other Frequency Supports Immediate Global Heightened Transmission”

Question 3(b) OR [4 marks]
#

Draw and explain Turnstile & Super turnstile antenna

Answer:

Turnstile Antenna:

Super Turnstile Antenna:

TypeCharacteristics
TurnstileTwo horizontal dipoles at right angles, fed 90° out of phase
Super TurnstileModification with multiple elements forming rectangular loops
PatternOmnidirectional in horizontal plane, figure-8 in vertical
PolarizationHorizontal or circular polarization
ApplicationsTV broadcasting, FM broadcasting, satellite communications

Mnemonic: “TOPS” - Turnstile Offers Perpendicular Symmetry

Question 3(c) OR [7 marks]
#

What is Polarization? Explain Helical antenna in detail with diagram

Answer:

Polarization is the orientation of the electric field vector of an electromagnetic wave as it propagates through space.

Helical Antenna:

GroundpXlane
ParameterDescription
StructureConductor wound in helical shape above ground plane
DiameterTypically λ/π
PitchSpacing between turns, usually λ/4
Turns3-10 turns depending on gain requirements
ModesNormal mode (broadside) or Axial mode (end-fire)
PolarizationCircular polarization in axial mode
ApplicationsSatellite communications, space telemetry, tracking

Mnemonic: “HASP” - Helical Antenna Supports Polarization

Question 4(a) [3 marks]
#

Explain Tropospheric scattered propagation

Answer:

AspectDescription
MechanismRadio signals scatter from tropospheric irregularities and refractive index variations
FrequencyTypically VHF, UHF (100 MHz - 10 GHz)
Range100-800 km, beyond line-of-sight
ReliabilityLess affected by weather than line-of-sight; more reliable than ionospheric
ApplicationsMilitary communications, remote areas where other systems aren’t practical

Mnemonic: “STRIP” - Scatter Through Refractive Index Patterns

Question 4(b) [4 marks]
#

Define: (1) Virtual Height (2) Maximum Usable Frequency - MUF (3) Critical Frequency

Answer:

TermDefinition
Virtual HeightThe apparent height of the ionosphere calculated from the time delay of a radio signal reflected back to Earth, as if reflection occurred at a single point
Maximum Usable Frequency (MUF)The highest frequency that can be used for reliable communication via ionospheric reflection for a specified path and time
Critical FrequencyThe highest frequency that can be reflected back when transmitted vertically to the ionosphere (when angle of incidence is 90°)

Mnemonic: “VMC” - Virtual height Measures Critical reflection

Question 4(c) [7 marks]
#

Explain effect of ground on electromagnetic wave propagation

Answer:

TransmittGerroundRDeicreGeircvoteurnwdavreeflectedwave
EffectDescription
Ground reflectionSignal reflects off ground, causing multipath reception
Ground absorptionPart of signal energy absorbed by ground, reducing signal strength
Ground diffractionWaves bend around obstacles, extending coverage beyond line-of-sight
Earth curvatureLimits line-of-sight distance based on antenna height
Ground conductivityHigher conductivity (water, wet soil) allows better propagation than poor conductors (dry, rocky terrain)

Wave behavior equation:

  • Range (km) ≈ 4.12(√h₁ + √h₂) where h₁, h₂ are antenna heights in meters

Mnemonic: “RADAR” - Reflection Absorption Diffraction Affect Range

Question 4(a) OR [3 marks]
#

Explain Duct Propagation

Answer:

Duct propagation occurs when radio waves become trapped in atmospheric layers with special refractive properties.

NTNoeormTrmpXmaealrlaatatutmrmoeosspiphnheverereresionlayerRX
  • Formation: Temperature inversions or moisture gradients create atmospheric ducts
  • Effect: Signals trapped within duct, allowing propagation far beyond normal range
  • Frequencies: Most common in UHF and microwave bands
  • Applications: Extended over-water communications, radar anomalies

Mnemonic: “TIDE” - Trapped In Ducting Environment

Question 4(b) OR [4 marks]
#

Explain different layers of Ionosphere

Answer:

LayerAltitudeCharacteristics
D Layer60-90 kmAbsorbs HF waves during daytime, disappears at night
E Layer90-150 kmReflects frequencies up to 10 MHz, sporadic E phenomenon
F1 Layer150-210 kmPresent during day, merges with F2 at night
F2 Layer210-400+ kmMain reflecting layer, highest electron density, present day and night

Mnemonic: “DEAF” - D absorbs, E reflects, All merge, F2 persists

Question 4(c) OR [7 marks]
#

Explain Ground wave and Sky wave propagation

Answer:

Ground Wave Propagation:

TXEarth'ssurfaceRX
  • Frequency range: LF, MF (30 kHz - 3 MHz)
  • Components: Direct, ground-reflected, surface waves
  • Range: Depends on frequency, ground conductivity, transmitter power
  • Applications: AM broadcasting, navigation systems, maritime communications

Sky Wave Propagation:

TXoEarth'sIsounrofsapcheereoRX
  • Mechanism: Waves refracted by ionosphere back to Earth
  • Frequency: Mainly HF (3-30 MHz)
  • Range: 100-10,000+ km, multiple hops possible
  • Variability: Time of day, season, solar activity, frequency
  • Applications: International broadcasting, amateur radio, military

Mnemonic: “GIST” - Ground-Interface Surface Transmission vs Ionospheric Sky Transmission

Question 5(a) [3 marks]
#

Explain three different types of Satellites

Answer:

Satellite TypeCharacteristics
LEO (Low Earth Orbit)Altitude: 160-2,000 km, Period: 90 min, Applications: Earth observation, communications
MEO (Medium Earth Orbit)Altitude: 2,000-35,786 km, Period: 2-24 hours, Applications: Navigation (GPS)
GEO (Geostationary Orbit)Altitude: 35,786 km, Period: 24 hours, Applications: TV broadcasting, weather monitoring

Mnemonic: “LMG” - Low Medium Geostationary

Question 5(b) [4 marks]
#

What are smart antennas? Write two applications of it

Answer:

Smart antennas are antenna systems that use digital signal processing algorithms to identify spatial signatures and dynamically adjust radiation patterns.

FeatureDescription
TypesSwitched beam systems, Adaptive array systems
OperationUses multiple antenna elements and signal processing to adapt to changing conditions
BenefitsIncreased capacity, improved coverage, reduced interference

Applications:

  1. Mobile cellular networks (4G, 5G) for increased capacity and coverage
  2. Wireless LANs for improved throughput and reduced interference

Mnemonic: “SMART” - Signal Manipulation And Response Technology

Question 5(c) [7 marks]
#

What is Satellite communication? Explain Data Communication

Answer:

Satellite Communication is the use of artificial satellites to provide communication links between various points on Earth.

UTpXlinkSATDownRlXink

Data Communication via Satellite:

ComponentFunction
Earth StationTransmits/receives signals to/from satellites
TransponderReceives, amplifies and retransmits signals at different frequencies
Access methodsFDMA, TDMA, CDMA to allow multiple users to share satellite capacity
ProtocolsTCP/IP adaptation for satellite latency, specialized protocols
ApplicationsInternet backhaul, VSAT networks, IoT, corporate networks
AdvantagesWide coverage area, independence from terrestrial infrastructure
ChallengesSignal delay (latency), power limitations, weather effects

Mnemonic: “UPDATA” - Uplink Provides Data Access To All

Question 5(a) OR [3 marks]
#

Write laws of Kepler for satellite

Answer:

Kepler’s LawsDescription
First LawSatellites orbit in elliptical paths with the Earth at one focus of the ellipse
Second LawA line joining the satellite and Earth sweeps out equal areas in equal times (conservation of angular momentum)
Third LawThe square of the orbital period is proportional to the cube of the semi-major axis of the orbit

Mnemonic: “ESP” - Elliptical orbits, Sweep equal areas, Period-distance relation

Question 5(b) OR [4 marks]
#

Explain Base station and Mobile station antennas

Answer:

Base Station Antennas:

Verticalcollinear
  • Types: Omnidirectional, sector, panel antennas
  • Gain: Typically 10-18 dBi
  • Mounting: Tower or rooftop installation
  • Features: Downtilt capability, multiple frequency bands

Mobile Station Antennas:

InStmearrntaplhoannetenna
  • Types: Internal PIFA, patch, monopole antennas
  • Gain: Low gain (0-3 dBi)
  • Size: Compact, often integrated inside device
  • Characteristics: Omnidirectional pattern, multiple bands

Mnemonic: “BIMS” - Base stations Install Multiple Sectors, Mobile stations Stay small

Question 5(c) OR [7 marks]
#

Explain DTH receiver system in detail

Answer:

DTH (Direct-to-Home) receiver system delivers television signals directly to users via satellite.

(OLuNtBdoor)CabVleSDaiS(tseIehtBnl-odlatxoinoottpree)nnaTV
ComponentFunction
Dish AntennaParabolic reflector to collect satellite signals (45-90 cm typical diameter)
LNB (Low Noise Block)Converts high-frequency satellite signals to lower frequencies for transmission through coaxial cable
Coaxial CableCarries signals from LNB to set-top box
Set-top BoxDecodes/demodulates signals, provides user interface, conditional access
Conditional Access ModuleProvides security and subscription management
FeaturesElectronic Program Guide, recording, interactive services

Mnemonic: “DISCS” - Dish Intercepts Signals, Converter Sends to Set-top box

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