Skip to main content
  1. Resources/
  2. Study Materials/
  3. Electronics & Communication Engineering/
  4. ECE Semester 4/
  5. Digital Communication (4341102)/

Digital Communication (4341102) - Summer 2024 Solution

18 mins· ·
Study-Material Solutions Digital-Communication 4341102 2024 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]
#

Define Continuous time Signal and Discrete time Signal with Wave form.

Answer:

Signal TypeDefinitionWaveform
Continuous Time SignalSignal defined for all values of time with no breaks
graph LR; A[t] --> B[x(t)]; style B fill:#fff,stroke:#333,stroke-width:2px
Discrete Time SignalSignal defined only at discrete time intervals
graph LR; A[n] --> B[x[n]]; style B fill:#fff,stroke:#333,stroke-width:2px

Diagram:

SAimgpnlailtudeContinuoustimeDiscretetime

Mnemonic: “Continuous Curves, Discrete Dots”

Question 1(b) [4 marks]
#

Explain Energy and power signal.

Answer:

ParameterEnergy SignalPower Signal
DefinitionHas finite energy but zero average powerHas finite average power but infinite energy
Mathematical Expression∫|x(t)|²dt < ∞lim(T→∞) (1/2T)∫|x(t)|²dt < ∞
ExamplesPulse, Decaying exponentialSine wave, Square wave
NatureFinite duration or decreasing amplitudePeriodic or infinite duration

Diagram:

EnergySignaltimeNeverePndwse.r..Signaltime

Mnemonic: “Energy Expires, Power Persists”

Question 1(c) [7 marks]
#

Explain block diagram of digital communication system.

Answer:

graph LR
    A[Source] --> B[Source Encoder]
    B --> C[Channel Encoder]
    C --> D[Digital Modulator]
    D --> E[Channel]
    E --> F[Digital Demodulator]
    F --> G[Channel Decoder]
    G --> H[Source Decoder]
    H --> I[Destination]
BlockFunction
SourceGenerates message to be transmitted
Source EncoderConverts message to digital sequence, removes redundancy
Channel EncoderAdds controlled redundancy for error detection/correction
Digital ModulatorConverts digital symbols to waveforms suitable for channel
ChannelTransmission medium, adds noise and distortion
Digital DemodulatorConverts received waveforms back to digital symbols
Channel DecoderDetects/corrects errors using added redundancy
Source DecoderReconstructs original message from digital sequence

Mnemonic: “Send Signals Carefully, Digital Messages Communicate Data Safely”

Question 1(c) OR [7 marks]
#

Explain Unit Step function and Unit impulse function.

Answer:

FunctionMathematical DefinitionPropertiesApplications
Unit Step Function (u(t))u(t) = 0 for t < 0
u(t) = 1 for t ≥ 0
- Represents sudden transition
- Integral of impulse function
System response analysis
Unit Impulse Function (δ(t))δ(t) = 0 for t ≠ 0
∫δ(t)dt = 1
- Infinitesimally narrow pulse
- Sampling property
- Derivative of step function
Sampling, system analysis

Diagrams:

UnitSte-p0-F-u-n-c-t-i-o-n---t-U0n-i-t--I-m(-pi-un-lf-si-en-i-Ft-ue-n)-c-t-i-ont

Mnemonic: “Step Stays steady after zero, Impulse Instantly appears then vanishes”

Question 2(a) [3 marks]
#

A signal carries 8 bit/signal elements. If 1000 signal elements sent per second. Find the bit rate.

Answer:

ParameterValue
Bits per signal element8 bits
Signal elements per second1000
CalculationBit rate = (Bits per signal element) × (Signal elements per second)
Bit rate= 8 × 1000 = 8000 bits/second or 8 kbps

Mnemonic: “Bits per signal × Signals per second = Bits per second”

Question 2(b) [4 marks]
#

Explain Even and Odd signal.

Answer:

Signal TypeMathematical DefinitionPropertiesExamples
Even Signalx(-t) = x(t)- Symmetric about y-axis
- Cosine is even
Cosine function, |t|
Odd Signalx(-t) = -x(t)- Anti-symmetric about y-axis
- Sine is odd
Sine function, t

Diagram:

-E0v-e-n--S-i-g-n-a-l-O0d-d--S-i-g-n-al

Mnemonic: “Even reflects Exactly, Odd reflects Oppositely”

Question 2(c) [7 marks]
#

Explain the block diagram of ASK modulator and de-modulator with waveform.

Answer:

ASK Modulator:

graph LR
    A[Digital Input] --> B[Product Modulator]
    C[Carrier Generator] --> B
    B --> D[ASK Output]

ASK Demodulator:

graph LR
    A[ASK Signal] --> B[Envelope Detector]
    B --> C[Comparator]
    C --> D[Digital Output]

Waveforms:

DCAiaSgrKirtiOaeulrt:pIuntp:ut:
ConceptDescription
ASK ModulationAmplitude varies according to digital data (0 or 1)
Modulator ComponentsProduct modulator multiplies carrier with digital signal
Demodulator ComponentsEnvelope detector extracts amplitude, comparator regenerates digital signal

Mnemonic: “ASK Adjusts Signal’s Knockout amplitude”

Question 2(a) OR [3 marks]
#

A signal has a bit rate of 4000 bit/second and a baud rate of 1000 baud. How many data elements are carried by each signal element?

Answer:

ParameterValue
Bit rate4000 bits/second
Baud rate1000 baud (signal elements/second)
FormulaNumber of data elements = Bit rate ÷ Baud rate
Data elements per signal= 4000 ÷ 1000 = 4 bits/signal element

Mnemonic: “Bits divided by Bauds equals Bits per signal”

Question 2(b) OR [4 marks]
#

Explain Periodic and aperiodic signal.

Answer:

Signal TypeDefinitionMathematical ConditionExamples
Periodic SignalRepeats after fixed time intervalx(t) = x(t+T) for all tSine wave, Square wave
Aperiodic SignalDoes not repeat after any time intervalx(t) ≠ x(t+T) for any TPulse, Noise

Diagram:

OnePepreiroidoidc(STi)gnalAperiodicSignal

Mnemonic: “Periodic Perfectly repeats, Aperiodic Alters always”

Question 2(c) OR [7 marks]
#

Explain the block diagram of PSK modulator and de-modulator with waveform.

Answer:

PSK Modulator:

graph LR
    A[Digital Input] --> B[Phase Shifter]
    C[Carrier Generator] --> B
    B --> D[PSK Output]

PSK Demodulator:

graph LR
    A[PSK Signal] --> B[Product Detector]
    C[Carrier Recovery] --> B
    B --> D[Low Pass Filter]
    D --> E[Decision Device]
    E --> F[Digital Output]

Waveforms:

DCPiaSgrKirtiOaeulrt:pIuntp:u(Pt0h:°a)ses(h1i8f0t°s)a(t0°b)it(t1r8a0n°s)itions
ParameterDescription
PSK ModulationPhase shifts according to digital data (0 or 1)
Phase States0° for bit ‘1’, 180° for bit ‘0’
AdvantagesBetter noise immunity than ASK

Mnemonic: “PSK Phases Shift with Knowledge”

Question 3(a) [3 marks]
#

Explain the working of FSK modulator with block diagram and output Waveform.

Answer:

FSK Modulator Block Diagram:

graph LR
    A[Digital Input] --> B[Voltage Controlled Oscillator]
    B --> C[FSK Output]

FSK Waveforms:

DFiSgKitOaultpIuntp:u(tf:1)(f2)(f1)
  • Principle: Digital bit ‘1’ sends carrier with frequency f1, bit ‘0’ sends carrier with frequency f2
  • Working: Voltage controlled oscillator changes frequency based on input bit value

Mnemonic: “Frequency Shifts for Knowledge transmission”

Question 3(b) [4 marks]
#

Draw the PSK modulation waveform for the sequence of 1010110110.

Answer:

DPPiShgKaistOeau:ltpIuntp1:00u°°t:1108800°°00°°11188000°°00°°100°°1118800°°000°°00°°11188001°°0

Table for PSK modulation:

BitPhase
1
0180°

Mnemonic: “One-Zero, Phase-Shifts, Keep-Signal Modulated”

Question 3(c) [7 marks]
#

Draw the ASK and FSK modulation waveform for the sequence of 1100110101.

Answer:

Digital Input Sequence: 1100110101

DAFiSSgKKitOOauulttppIuunttp1:O:fun1t:1Ofn10Off2f0Off2f1Ofn11Ofn10Off2f1Ofn10Off2f1Ofn1

Table for comparison:

BitASKFSK
1Carrier ON (high amplitude)Higher frequency (f1)
0Carrier OFF (zero/low amplitude)Lower frequency (f2)

Mnemonic: “Amplitude Shows Knowledge, Frequency Shifts Knowledge”

Question 3(a) OR [3 marks]
#

Explain the working of MSK modulator with block diagram and output Waveform.

Answer:

MSK Modulator Block Diagram:

graph LR
    A[Digital Input] --> B[Serial to Parallel]
    B -->|I-Channel| C[I-Channel Modulator]
    B -->|Q-Channel| D[Q-Channel Modulator]
    E[Carrier Generator] --> C
    E -->|90° Phase Shift| D
    C --> F[Adder]
    D --> F
    F --> G[MSK Output]

MSK Features:

  • Continuous phase FSK with frequency deviation exactly half bit rate
  • Phase changes occur smoothly (no abrupt phase changes)
  • Better spectral efficiency than FSK

Mnemonic: “Minimum Shift Keeps spectrum narrow”

Question 3(b) [4 marks]
#

Draw the constellation diagram of 8-PSK and 16-QAM.

Answer:

8-PSK Constellation:

001011000101000111111001

16-QAM Constellation:

0011000001010000001100000101111100111111010100000011111101011111
ModulationDescription
8-PSK8 points equally spaced around circle, 3 bits per symbol
16-QAM16 points in square grid, varying amplitude and phase, 4 bits per symbol

Mnemonic: “PSK Points on Single circle, QAM Quadrature Amplitude Matrix”

Question 3(c) OR [7 marks]
#

Draw BPSK and QPSK modulation waveform for 1010101011.

Answer:

BPSK Modulation:

DBiPgSiKtaOlutIpnup1t0u:°t:0180°10°0180°10°0180°10°0180°10°10°

QPSK Modulation (grouping bits in pairs):

IIQQn--PpCCSuhhKtaannPPnnhaeeaillsr::es::1090°1001270°109100°01270°101090°01271101°1910°45°
Bit PairQPSK Phase
1090°
00180°
01270°
11

Mnemonic: “Binary Phase Shifts Keys, Quadrature Phase Shifts Keys”

Question 4(a) [3 marks]
#

Encode the data using Shanon Fano code for below probability sequence. P = {0.30, 0.25, 0.20, 0.12, 0.08, 0.05}

Answer:

SymbolProbabilityShannon-Fano Code
S10.3000
S20.2501
S30.2010
S40.12110
S50.081110
S60.051111

Process:

  1. Sort symbols by decreasing probability
  2. Split into two groups with nearly equal probability (0.30+0.25=0.55, 0.20+0.12+0.08+0.05=0.45)
  3. Assign 0 to first group, 1 to second group
  4. Recursively continue for each subgroup

Mnemonic: “Separate, Fano divides, Code efficiently”

Question 4(b) [4 marks]
#

Explain Hamming code.

Answer:

AspectDescription
DefinitionLinear error-correcting code that detects double errors and corrects single errors
Parity bitsFor m data bits, need k parity bits where 2^k ≥ m+k+1
PositionParity bits placed at positions 1, 2, 4, 8, 16… (powers of 2)
Error detectionCalculate syndrome to locate error position

Example Hamming(7,4):

PPPPPoa124sriiccctthhhiyeeeocccnckkkshsss:e:::ckPPP1P1241e,,,quDDD2Pa1122t,,,ioDDD3Dn2331s,,,:DDD4P44445D26D37D4

Mnemonic: “Hamming Helps Handle Bit Errors”

Question 4(c) [7 marks]
#

Compare TDMA and FDMA.

Answer:

ParameterTDMA (Time Division Multiple Access)FDMA (Frequency Division Multiple Access)
Basic PrincipleDivides channel by time slotsDivides channel by frequency bands
Resource AllocationEach user gets entire bandwidth for short timeEach user gets portion of bandwidth all the time
Guard PeriodTime guard bands between slotsFrequency guard bands between channels
SynchronizationStrict timing synchronization requiredNo timing synchronization needed
EfficiencyHigher, due to burst transmissionLower, due to fixed assignment
ComplexityMore complexRelatively simple
ExamplesGSM, DECTFM radio, Traditional satellite systems

Diagram:

TTsDilMmoAet:sUser1User2User3FDMFAr:eq.UUUsssTeeeirrrme321

Mnemonic: “Time Divides Multiple Access, Frequency Divides Multiple Access”

Question 4(a) OR [3 marks]
#

Encode the data using Huffman code for below probability sequence. P = {0.4, 0.2, 0.2, 0.1, 0.1}

Answer:

SymbolProbabilityHuffman Code
S10.40
S20.210
S30.211
S40.1100
S50.1101

Process:

  1. Start with sorted probabilities
  2. Combine lowest two probabilities (0.1+0.1=0.2)
  3. Rearrange and repeat until only two nodes remain
  4. Assign bits by traversing tree

Tree Construction:

0.10.200..140.02.6001..210(S20,.S43()S1)

Mnemonic: “Huffman Helps encode High-frequency data”

Question 4(b) OR [4 marks]
#

Explain parity code.

Answer:

AspectDescription
DefinitionSimple error detection scheme that adds parity bit
TypesEven parity: total 1s is even
Odd parity: total 1s is odd
CalculationXOR all data bits to generate parity bit
CapabilityDetects odd number of errors, cannot correct errors

Examples:

EDODvadaetdtnaa:P:Paa1r1r0i0i1t1t1y1y::PPaarriittyy::01CCooddeedd::1100111101((EOvdednnnuummbbeerrooff11ss::54))

Mnemonic: “Parity Provides Primitive Error detection”

Question 4(c) OR [7 marks]
#

Explain FDMA Technique in detail.

Answer:

FDMA (Frequency Division Multiple Access):

graph TD
    A[Available Bandwidth] --> B[Frequency Division]
    B --> C[User 1 Channel]
    B --> D[User 2 Channel]
    B --> E[User 3 Channel]
    B --> F[User N Channel]
ParameterDescription
Basic PrincipleTotal bandwidth divided into non-overlapping frequency bands
Channel AssignmentEach user assigned dedicated frequency band
Guard BandsSmall frequency gaps between channels to prevent interference
DuplexingUsually implemented with FDD (Frequency Division Duplexing)
AdvantagesSimple implementation, no synchronization required
DisadvantagesInefficient for bursty traffic, fixed allocation wastes bandwidth
ApplicationsAM/FM radio, Traditional cable TV, First-generation mobile systems

Frequency Allocation:

FrequencyGuardBaUnsdesUrse1Urse2Urse3rTNime

Mnemonic: “Fixed Division for Multiple Access”

Question 5(a) [3 marks]
#

Explain E1 Career system.

Answer:

ParameterDescription
DescriptionEuropean standard digital transmission format
Capacity2.048 Mbps
Channel Structure32 time slots (numbered 0-31)
Voice Channels30 voice channels (64 kbps each)
SignalingTime slot 16 for signaling
Frame AlignmentTime slot 0 for synchronization

Diagram:

OTTTnSSSe0011:6-E:11F51rS,FairmgTaenSm2a1eal7li-(in33gg12n:mteVi1nom5tieces1/l6doatts1a)7channe3l0s(3310c0hann1els)2

Mnemonic: “E1 Enables 30 + 2 time slots”

Question 5(b) [4 marks]
#

Explain TDMA Access technique.

Answer:

ParameterDescription
DefinitionMultiple access technique that divides time into slots for different users
Working PrincipleEach user gets entire bandwidth for a short time period
Frame StructureTime divided into frames, frames divided into slots
Guard TimeSmall time gap between slots to prevent overlap
SynchronizationRequires precise timing synchronization

TDMA Frame Structure:

E----aTcUGSCShsuyoeann1trrctidhrmdroUeatolTstinSesamibrlezi2oatO1ttsnieU(oTsTnTSeSDr)bM3iA2ctosFUnrTstaSeamrie4n3s:TS5

Mnemonic: “Time Divides Multiple Access”

Question 5(c) [7 marks]
#

Explain IoT − Concept, Features, Advantages and Disadvantages.

Answer:

IoT Concept:

graph TD
    A[Physical Objects] -->|Sensors| B[Internet Connectivity]
    B --> C[Data Collection]
    C --> D[Data Analysis]
    D --> E[Automated Actions]
    E --> A
AspectDescription
ConceptNetwork of physical objects embedded with sensors, software, and connectivity
Features- Connectivity (devices connected to internet)
- Intelligence (smart decision making)
- Sensing (collecting data from environment)
- Automation (minimal human intervention)
- Scalability (handles many devices)
Advantages- Improved efficiency and productivity
- Better resource management
- Enhanced decision making
- Convenience and time-saving
- New business opportunities
Disadvantages- Security vulnerabilities
- Privacy concerns
- Complexity in implementation
- Compatibility issues
- Dependence on internet

Application Areas:

  • Smart homes, cities
  • Healthcare monitoring
  • Industrial automation
  • Agriculture
  • Transportation

Mnemonic: “Internet of Things: Connected, Automated, Smarter Decisions”

Question 5(a) OR [4 marks]
#

Explain T1 Career TDM system.

Answer:

ParameterDescription
DescriptionNorth American standard digital transmission format
Capacity1.544 Mbps
Channel Structure24 time slots (channels) + 1 framing bit
Voice Channels24 voice channels (64 kbps each)
Frame Structure193 bits per frame (24 × 8 + 1)
SignalingRobbed bit signaling (least significant bit)

Diagram:

OFEn:aeFcFhTr1acCmhFhiarnna1gnmeebli:(t1C89h3b2ibtists()C1hb3yte)Ch22Ch23Ch24

Mnemonic: “T1 Transmits 24 channels”

Question 5(b) OR [3 marks]
#

Compare TDM and FDM.

Answer:

ParameterTDM (Time Division Multiplexing)FDM (Frequency Division Multiplexing)
Basic PrincipleDivides channel by timeDivides channel by frequency
Signal SeparationIn time domainIn frequency domain
Guard BandsTime guard bandsFrequency guard bands
ImplementationDigital techniqueAnalog technique (originally)
CrosstalkLess susceptibleMore susceptible
SynchronizationRequiredNot required

Diagram:

TTDiMm:eCh1Ch2Ch3Ch1FrequFeDnMc:yCCChhhT321ime

Mnemonic: “Time Divides Multiplexing, Frequency Divides Multiplexing”

Question 5(c) OR [7 marks]
#

Explain security components of information security.

Answer:

The CIA Triad of Information Security:

graph TD
    A[Information Security] --> B[Confidentiality]
    A --> C[Integrity]
    A --> D[Availability]
    B --> E[Encryption, Access Controls]
    C --> F[Hashing, Digital Signatures]
    D --> G[Redundancy, Fault-tolerance]
ComponentDescriptionImplementation Methods
ConfidentialityProtection against unauthorized access- Encryption
- Access controls
- Authentication
- Steganography
IntegrityEnsuring data is accurate and unaltered- Hashing
- Digital signatures
- Version control
- Checksums
AvailabilityEnsuring systems are accessible when needed- Redundancy
- Backups
- Disaster recovery
- Fault tolerance
AuthenticationVerifying identity- Passwords
- Biometrics
- Smart cards
- Multi-factor
Non-repudiationPreventing denial of actions- Digital signatures
- Audit logs
- Timestamps

Security Threats:

  • Malware (viruses, worms, trojans)
  • Social engineering
  • Denial of Service (DoS)
  • Man-in-the-middle attacks
  • Insider threats

Mnemonic: “CIA Protects All Network Data”

Related

Digital & Data Communication (4343201) - Summer 2024 Solution
18 mins
Study-Material Solutions Digital-Communication Data-Communication 4343201 2024 Summer
Digital Communication (4341102) - Summer 2023 Solution
20 mins
Study-Material Solutions Digital-Communication 4341102 2023 Summer
Computer Networking (4343202) - Summer 2024 Solution
23 mins
Study-Material Solutions Computer-Networking 4343202 2024 Summer
Elements of Electrical & Electronics Engineering (1313202) - Summer 2024 Solution
23 mins
Study-Material Solutions Electrical-Engineering Electronics-Engineering 1313202 2024 Summer
Data Structure And Application (1333203) - Summer 2024 Solution
18 mins
Study-Material Solutions Data-Structure 1333203 2024 Summer
Physics (4300005) - Summer 2024 Solution
22 mins
Study-Material Solutions Physics 4300005 2024 Summer