IT404 Unit 4
Analog & Digital Communication

IT404 Unit 4 Notes

Sampling, PAM, TDM, PCM, DPCM, DM and ADM

Complete RGPV IT404 Analog & Digital Communication Unit 4 study material for B.Tech Information Technology students. This unit covers Sampling of Signal, Sampling Theorem, Pulse Amplitude Modulation, Time Division Multiplexing, Pulse Code Modulation, Quantization, Companding, Data Rate, Bit Rate, DPCM, Delta Modulation and Adaptive Delta Modulation in easy exam-oriented language.

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Detailed Notes

Read beginner-friendly Unit 4 notes covering Sampling, PAM, TDM, PCM, Quantization, DPCM, Delta Modulation and ADM with diagrams, formulas, examples and RGPV exam-focused explanation.

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Important Questions

Prepare expected 7 marks and 14 marks questions from Sampling Theorem, PAM, TDM, PCM, Quantization Error, Companding, DPCM, DM and ADM.

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PYQ Analysis

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IT404 Unit 4 Syllabus Topics

Sampling of Signal Sampling Theorem for Low Pass Signal Sampling Theorem for Band Pass Signal Pulse Amplitude Modulation (PAM) Time Division Multiplexing (TDM) Channel Bandwidth for PAM-TDM Signal Types of Sampling Instantaneous Sampling Natural Sampling Flat Top Sampling Aperture Effect Pulse Position Modulation (PPM) Pulse Duration Modulation (PDM/PWM) Digital Signal Quantization Quantization Error Pulse Code Modulation (PCM) Signal to Noise Ratio Companding Data Rate and Baud Rate Bit Rate Multiplexed PCM Signal Differential PCM (DPCM) Delta Modulation (DM) Adaptive Delta Modulation (ADM) Comparison of Various Systems Important Questions PYQ Analysis FAQs

Sampling of Signal

Sampling Analog and Digital Communication ka bahut important topic hai. Digital communication system me analog signal ko directly transmit ya process karna difficult hota hai. Isliye analog signal ko small-small time intervals par measure kiya jata hai. Isi process ko Sampling kehte hain.

Simple words me, continuous signal se kuch fixed points par values lena sampling hota hai. Jaise video me continuous motion ko frames me divide kiya jata hai, waise hi signal ko samples me divide kiya jata hai.


Definition

Sampling is the process of converting a continuous-time signal into a discrete-time signal by taking its values at regular time intervals.


Easy Example

Maan lo ek teacher board par continuously line draw kar raha hai. Agar tum us line ki photo har 1 second me lete ho, to tumhare paas continuous line ka sampled version aa jayega.

Continuous Signal ↓ Samples at fixed time intervals ↓ Discrete-Time Signal

Why Sampling is Needed?


Sampling Process

Analog Signal ↓ Sampler ↓ Sampled Signal ↓ Quantization ↓ Encoding ↓ Digital Signal

Sampling Signal Representation

Original continuous signal ko x(t) se represent kiya jata hai. Sampling ke baad signal discrete time values me convert ho jata hai.

Original Signal = x(t) Sampled Signal = x(nTs)

Where:


Sampling Frequency

Sampling Frequency batati hai ki ek second me signal ke kitne samples liye ja rahe hain.

fs = 1 / Ts

Where:


Sampling Diagram

Continuous Signal Amplitude │ /\ /\ │ / \ / \ │______/____\____/____\_____ Time Sampling Pulses │ | | | | | | Sampled Signal │ • • • • • •

Real Life Example

Audio recording me microphone analog voice signal capture karta hai. Computer us voice signal ko har fixed time interval par sample karta hai. Phir samples ko digital numbers me convert karke audio file banayi jati hai.

Human Voice ↓ Microphone ↓ Sampling ↓ Digital Audio File

Important Terms in Sampling

Term Meaning
Analog Signal Continuous time signal
Sample Signal value at a particular instant
Sampling Period Time gap between two samples
Sampling Frequency Number of samples taken per second
Discrete-Time Signal Signal defined only at specific time instants

Advantages of Sampling


Disadvantages of Sampling


Applications of Sampling


RGPV Exam Keywords


Most Expected Questions

2 Marks

5 Marks

7 Marks

14 Marks

Sampling Theorem for Low Pass Signal

Sampling Theorem Digital Communication ka sabse important theorem hai. Ye batata hai ki kisi analog signal ko bina information loss ke reconstruct karne ke liye minimum kitni sampling frequency required hoti hai.

Exam me Sampling Theorem bahut frequently poocha jata hai aur PCM, DPCM aur DM samajhne ke liye bhi ye topic bahut important hai.


Definition

According to Nyquist Sampling Theorem:

"If a continuous-time signal contains frequency components up to fm Hz, then the signal must be sampled at a rate greater than or equal to 2fm samples per second for perfect reconstruction."


Nyquist Rate

Signal ko accurately reconstruct karne ke liye minimum sampling frequency ko Nyquist Rate kehte hain.

Nyquist Rate fs ≥ 2fm

Where:


Nyquist Frequency

Sampling frequency ka half part Nyquist Frequency kehlata hai.

Nyquist Frequency = fs / 2

Case 1: Perfect Sampling

fs = 2fm Perfect Reconstruction

Signal accurately recover ho jata hai.


Case 2: Oversampling

fs > 2fm

Signal perfectly reconstruct hota hai aur distortion kam hota hai.


Case 3: Undersampling

fs < 2fm

Signal properly reconstruct nahi ho pata aur Aliasing generate hoti hai.


Aliasing

Jab sampling frequency Nyquist Rate se kam ho jati hai tab high frequency components low frequency components ke saath overlap karne lagte hain. Is effect ko Aliasing kehte hain.

fs < 2fm ↓ Aliasing ↓ Information Loss

Low Pass Signal

Low Pass Signal wo signal hota hai jisme frequencies 0 Hz se lekar maximum frequency fm tak hoti hain.

0 Hz -------- fm Low Pass Signal

Example

Agar maximum signal frequency 5 kHz hai:

fm = 5 kHz Nyquist Rate fs = 2 × 5 fs = 10 kHz

Is signal ko kam se kam 10 kHz par sample karna hoga.


Applications


Sampling Theorem for Band Pass Signal

Band Pass Signal me frequencies zero se start nahi hoti. Signal lower frequency fl aur upper frequency fh ke beech exist karta hai.


Definition

Band Pass Sampling Theorem ke according signal ko Nyquist Rate se lower sampling frequency par bhi sample kiya ja sakta hai provided spectrum overlap na kare.


Band Pass Signal Representation

fl ------------ fh Band Pass Signal

Where:


Bandwidth of Band Pass Signal

B = fh - fl

Yahan B signal ki bandwidth represent karta hai.


Why Band Pass Sampling?

Agar signal radio frequency range me ho to direct Nyquist sampling bahut high sampling rate demand karegi. Band Pass Sampling required sampling frequency ko reduce kar deti hai.


Advantages of Band Pass Sampling


Low Pass vs Band Pass Sampling

Low Pass Sampling Band Pass Sampling
Signal starts from 0 Hz Signal exists between fl and fh
Nyquist Rate = 2fm Depends on bandwidth
Simple implementation More complex implementation
Used in audio systems Used in RF communication

Real Life Example

FM Radio signal Band Pass Signal ka example hai. Signal directly baseband par exist nahi karta. Isliye Band Pass Sampling techniques use ki jati hain.


RGPV Exam Keywords


Most Expected Questions

2 Marks

5 Marks

7 Marks

14 Marks

Pulse Amplitude Modulation (PAM)

Pulse Amplitude Modulation (PAM) analog pulse modulation technique hai jisme pulse ki amplitude ko message signal ke according vary kiya jata hai. Pulse ki width aur position constant rehti hai.

Simple language me agar signal ki value zyada hai to pulse ki height zyada hogi aur agar signal ki value kam hai to pulse ki height bhi kam hogi.


Definition

Pulse Amplitude Modulation is a modulation technique in which the amplitude of regularly spaced pulses varies according to the instantaneous amplitude of the message signal.


Working of PAM

Message Signal ↓ Sampler ↓ Pulse Train ↓ PAM Signal

Message signal ko periodic pulses ke saath sample kiya jata hai aur output me pulse amplitudes message signal ke proportional hoti hain.


PAM Waveform

Analog Signal /\ / \ ____/ \____ PAM Signal | |||| | | |||||||| | |||||||||||||

Types of PAM


Advantages of PAM


Disadvantages of PAM


Applications of PAM


Types of Sampling

Sampling ke mainly 3 important types hote hain jo RGPV exams me frequently pooche jate hain.

Sampling │ ├── Instantaneous Sampling ├── Natural Sampling └── Flat Top Sampling

Instantaneous Sampling

Instantaneous Sampling ideal sampling hoti hai jisme signal ki value ek exact instant par measure ki jati hai.

Real life me perfect instantaneous sampling possible nahi hoti.

Ideal Pulse Width ↓ 0 Seconds

Advantages


Disadvantages


Natural Sampling

Natural Sampling me pulse width finite hoti hai aur pulse top original analog signal ki shape follow karta hai.

Natural Sampling /\ / \ | | | | ----

Pulse ke andar amplitude continuously vary karti rehti hai.


Advantages


Disadvantages


Flat Top Sampling

Flat Top Sampling sabse commonly used sampling technique hai. Isme sampled pulse ki amplitude constant rehti hai.

Flat Top Sample ______ | | | | |______|

Sample value pulse duration ke dauran constant rakhi jati hai.


Advantages


Disadvantages


Aperture Effect

Flat Top Sampling me sample pulse ki width finite hoti hai. Is wajah se signal perfectly represent nahi ho pata aur amplitude distortion generate hota hai.

Is distortion ko Aperture Effect kehte hain.


Definition

The distortion introduced due to finite pulse width during flat top sampling is called Aperture Effect.


Why Aperture Effect Occurs?

Finite Pulse Width ↓ Signal Averaging ↓ Amplitude Distortion ↓ Aperture Effect

Effects of Aperture Effect


How to Reduce Aperture Effect?


Comparison of Sampling Types

Parameter Instantaneous Natural Flat Top
Practical Use No Limited Yes
Pulse Width Zero Finite Finite
Amplitude Variation Instant Continuous Constant
Aperture Effect No No Yes
Usage Theory PAM PCM

RGPV Exam Keywords


Most Expected Questions

2 Marks

5 Marks

7 Marks

14 Marks

Time Division Multiplexing (TDM)

Communication systems me ek hi transmission channel ko multiple users ke saath share karna hota hai. Agar har user ke liye alag channel diya jaye to cost bahut increase ho jayegi.

Is problem ko solve karne ke liye Multiplexing techniques use ki jati hain. TDM Digital Communication ki sabse important multiplexing technique hai.


Definition

Time Division Multiplexing (TDM) is a technique in which multiple signals share a common communication channel by transmitting data in different time slots.


Basic Concept of TDM

TDM me har signal ko ek fixed time slot assign kiya jata hai. Ek signal apne assigned slot me transmit karta hai aur baaki time me wait karta hai.

Signal 1 → Slot 1 Signal 2 → Slot 2 Signal 3 → Slot 3 Signal 4 → Slot 4 ↓ Single Communication Channel

Need of TDM


Block Diagram of TDM

Input Signals S1 S2 S3 S4 ↓ Multiplexer ↓ Common Channel ↓ Demultiplexer ↓ S1 S2 S3 S4 Output Signals

Working of TDM

  1. Multiple input signals multiplexer me enter karte hain.
  2. Multiplexer har signal ko specific time slot assign karta hai.
  3. Sabhi signals ek common channel se transmit hote hain.
  4. Receiver side par demultiplexer signals ko separate karta hai.
  5. Original signals recover ho jate hain.

Example of TDM

Suppose 4 users ek channel use kar rahe hain:

Frame 1 | S1 | S2 | S3 | S4 | Frame 2 | S1 | S2 | S3 | S4 | Frame 3 | S1 | S2 | S3 | S4 |

Har user ko har frame me ek fixed time slot milta hai.


Types of TDM


Synchronous TDM

Synchronous TDM me har source ko fixed time slot diya jata hai chahe data ho ya na ho.

Advantages

Disadvantages


Asynchronous TDM

Asynchronous TDM me time slots sirf active users ko assign kiye jate hain.

Advantages

Disadvantages


Advantages of TDM


Disadvantages of TDM


Applications of TDM


Channel Bandwidth for PAM-TDM Signal

Jab PAM aur TDM ko combine kiya jata hai to ek hi channel multiple PAM signals ko carry karta hai.

Exam me frequently poocha jata hai ki PAM-TDM signal ke liye required channel bandwidth kitni hoti hai.


Definition

The bandwidth required to transmit a multiplexed PAM signal through a TDM system is called Channel Bandwidth of PAM-TDM Signal.


Bandwidth Requirement

Agar:

To sampling frequency hogi:

fs = 2fm

Aur multiplexed sampling rate hogi:

fM = n × fs

Bandwidth Formula

BW ≈ (n × fs) / 2

Where:


Numerical Example

Suppose:

Sampling Frequency:

fs = 2 × 4 = 8 kHz

Multiplexed Sampling Rate:

fM = 8 × 8 = 64 kHz

Required Bandwidth:

BW = 64 / 2 = 32 kHz

PAM-TDM Signal Flow

Message Signals ↓ PAM Modulators ↓ TDM Multiplexer ↓ Common Channel ↓ Demultiplexer ↓ Original Signals

TDM vs FDM

TDM FDM
Shares Time Shares Frequency
Digital Systems Analog Systems
High Efficiency Lower Efficiency
Synchronization Needed Guard Bands Needed
Used in PCM Used in Radio Broadcasting

RGPV Exam Keywords


Most Expected Questions

2 Marks

5 Marks

7 Marks

14 Marks

Pulse Position Modulation (PPM)

Pulse Position Modulation (PPM) ek analog pulse modulation technique hai jisme pulse ki position ko message signal ke according vary kiya jata hai. Pulse ki amplitude aur width constant rehti hai.

Simple language me agar message signal ki value change hoti hai to pulse aage ya piche shift ho jata hai. Isi shift ko Pulse Position Modulation kehte hain.


Definition

Pulse Position Modulation (PPM) is a modulation technique in which the position of a pulse is varied according to the instantaneous amplitude of the modulating signal while pulse amplitude and width remain constant.


Basic Principle of PPM

Message Signal ↑ ↓ Pulse Position Changes ↓ PPM Signal

Jitni zyada message signal amplitude hogi, pulse utna hi apni original position se shift hoga.


PPM Waveform

Reference Pulses | | | | | PPM Signal | | | | |

Waveform me pulse ki location change ho rahi hai lekin pulse width aur amplitude same hai.


Generation of PPM

Message Signal ↓ PAM ↓ PWM ↓ PPM

Normally PPM signal PWM signal se generate kiya jata hai.


Advantages of PPM


Disadvantages of PPM


Applications of PPM


Pulse Duration Modulation (PDM/PWM)

Pulse Duration Modulation ko Pulse Width Modulation (PWM) bhi kaha jata hai. Is modulation technique me pulse ki width ko message signal ke according vary kiya jata hai.

Pulse ki amplitude constant rehti hai lekin pulse duration change hota rehta hai.


Definition

Pulse Duration Modulation (PDM) is a modulation technique in which the duration or width of the pulse varies according to the amplitude of the message signal while pulse amplitude remains constant.


Basic Principle of PWM

Message Signal ↑ ↓ Pulse Width Increases ↓ PWM Signal

PWM Waveform

PWM Signal |--| |------| |----------| |----|

Yahan pulse height same hai lekin width continuously change ho rahi hai.


Working of PWM

  1. Message signal comparator me apply kiya jata hai.
  2. Reference waveform ke saath compare kiya jata hai.
  3. Output pulse width message signal ke according vary hoti hai.
  4. PWM signal generate hota hai.

Advantages of PWM


Disadvantages of PWM


Applications of PWM


PPM vs PWM

PPM PWM (PDM)
Pulse Position Changes Pulse Width Changes
Amplitude Constant Amplitude Constant
Better Noise Immunity Good Noise Immunity
Complex Synchronization Less Complex
Large Bandwidth Large Bandwidth

PAM vs PWM vs PPM

Technique Variable Parameter
PAM Amplitude
PWM/PDM Width (Duration)
PPM Position

Memory Trick for Exams

PAM → Amplitude Changes PWM → Width Changes PPM → Position Changes

Ye 3 lines yaad rakh loge to modulation techniques kabhi confuse nahi hongi.


RGPV Exam Keywords


Most Expected Questions

2 Marks

5 Marks

7 Marks

14 Marks

Digital Signal

Aaj ke modern communication systems jaise mobile phones, computers, internet, digital television aur cloud communication sab Digital Signals par based hain.

Digital Signal ek aisa signal hota hai jo continuous values ki jagah discrete values represent karta hai. Usually digital signal sirf do levels use karta hai:

1 = HIGH 0 = LOW

Definition

A Digital Signal is a signal that represents information using discrete values, generally binary digits 0 and 1.


Analog Signal vs Digital Signal

Analog Signal Continuous Values ↓ Digital Signal Discrete Values

Digital Signal Waveform

1 ────────┐ ┌─────── │ │ 0 ─────────└─────┘────────

Digital signal me sirf fixed levels hote hain.


Characteristics of Digital Signal


Advantages of Digital Signals


Disadvantages of Digital Signals


Applications of Digital Signals


Quantization

Sampling ke baad signal ke paas infinite amplitude values ho sakti hain. Computer infinite values ko directly store nahi kar sakta.

Isliye sampled amplitudes ko nearest fixed level par round off kiya jata hai. Is process ko Quantization kehte hain.


Definition

Quantization is the process of converting continuous amplitude values into a finite number of discrete levels.


Why Quantization is Required?


Quantization Process

Analog Signal ↓ Sampling ↓ Quantization ↓ Encoding ↓ Digital Signal

Quantization Levels

Quantization me amplitudes ko predefined levels me map kiya jata hai.

Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Level 0

Example of Quantization

Suppose available levels hain:

0 1 2 3 4 5 6 7

Agar sampled value 4.7 hai to nearest level 5 select kiya jayega.

Agar value 2.2 hai to nearest level 2 choose kiya jayega.


Types of Quantization


Uniform Quantization

Uniform Quantization me sabhi quantization levels ke beech equal spacing hoti hai.

|----|----|----|----| Equal Step Size

Advantages


Non-Uniform Quantization

Non-Uniform Quantization me step size equal nahi hoti.

|--|----|------|--| Different Step Sizes

Ye small signals ko better represent karta hai.


Advantages


Quantization Error

Quantization ke dauran original sampled value aur quantized value ke beech difference aa jata hai.

Isi difference ko Quantization Error kehte hain.


Definition

Quantization Error is the difference between the actual sampled value and the quantized value.


Formula

Quantization Error = Actual Value − Quantized Value

Example

Suppose:

Actual Value = 4.7 Quantized Value = 5 Error = 4.7 − 5 Error = -0.3

Why Quantization Error Occurs?

Infinite Values ↓ Finite Levels ↓ Approximation ↓ Quantization Error

Effects of Quantization Error


Quantization Noise

Quantization Error ko Quantization Noise bhi kaha jata hai kyunki ye unwanted noise ki tarah behave karta hai.


How to Reduce Quantization Error?


Digital Signal vs Analog Signal

Digital Signal Analog Signal
Discrete values Continuous values
High noise immunity Low noise immunity
Easy processing Difficult processing
Computer friendly Not computer friendly

Quantization vs Sampling

Sampling Quantization
Time axis discretization Amplitude axis discretization
Produces samples Produces levels
First step Second step
No approximation Approximation occurs

Memory Trick for Exams

Sampling ↓ Time Discrete ↓ Quantization ↓ Amplitude Discrete ↓ Encoding ↓ Binary Signal

RGPV Exam Keywords


Most Expected Questions

2 Marks

5 Marks

7 Marks

14 Marks

Pulse Code Modulation (PCM)

Pulse Code Modulation (PCM) Digital Communication ka sabse important topic hai. PCM ek technique hai jisme analog signal ko digital binary form me convert kiya jata hai.

Aaj ke telephone systems, mobile communication, CD audio, digital television aur internet communication me PCM ka use hota hai.


Definition

Pulse Code Modulation (PCM) is a digital modulation technique in which an analog signal is sampled, quantized and encoded into binary form.


Basic Idea of PCM

Computer analog signal ko directly samajh nahi sakta. Isliye signal ko digital bits me convert karna padta hai. PCM isi conversion ka process hai.

Analog Signal ↓ Sampling ↓ Quantization ↓ Encoding ↓ Binary Data

PCM Block Diagram

TRANSMITTER Analog Signal ↓ Sampler ↓ Quantizer ↓ Encoder ↓ PCM Signal -------------------------------- RECEIVER PCM Signal ↓ Decoder ↓ Low Pass Filter ↓ Original Signal

Working of PCM

Step 1: Sampling

Continuous analog signal ko fixed intervals par sample kiya jata hai.


Step 2: Quantization

Sample amplitudes ko nearest discrete levels me convert kiya jata hai.


Step 3: Encoding

Har quantization level ko binary code assign kiya jata hai.


Step 4: Transmission

Binary data communication channel ke through transmit hota hai.


Step 5: Decoding

Receiver side par binary code ko decode kiya jata hai.


Step 6: Reconstruction

Low Pass Filter original analog signal reconstruct karta hai.


Example of PCM

Amplitude Level Binary Code
0 000
1 001
2 010
3 011
4 100
5 101
6 110
7 111

Advantages of PCM


Disadvantages of PCM


Applications of PCM


Signal to Noise Ratio (SNR)

Communication system me transmitted signal ke saath unwanted noise bhi present hoti hai. Signal quality measure karne ke liye Signal to Noise Ratio use kiya jata hai.


Definition

Signal to Noise Ratio (SNR) is the ratio of signal power to noise power.


Formula

SNR = Signal Power ----------- Noise Power

SNR in Decibels

SNR(dB) = 10 log10 ( Signal Power ------------ Noise Power )

Importance of SNR


Interpretation of SNR

SNR Value Quality
High SNR Excellent Signal Quality
Medium SNR Average Quality
Low SNR Poor Quality

Example

Suppose:

Signal Power = 100 W Noise Power = 1 W SNR = 100 / 1 SNR = 100

Companding

PCM systems me quantization error ko reduce karne ke liye Companding technique use ki jati hai.

Companding do words ka combination hai:

Compression + Expanding = Companding

Definition

Companding is a technique used to improve the Signal to Noise Ratio by compressing the signal before transmission and expanding it after reception.


Why Companding is Needed?


Working of Companding

Input Signal ↓ Compressor ↓ PCM System ↓ Expander ↓ Output Signal

Types of Companding


μ-Law Companding

Mostly North America and Japan me use hota hai.


A-Law Companding

Mostly Europe aur International PCM Systems me use hota hai.


Advantages of Companding


Disadvantages of Companding


PCM vs PAM

PCM PAM
Digital Technique Analog Technique
Better Noise Immunity Poor Noise Immunity
Binary Transmission Amplitude Transmission
Higher Complexity Simple Implementation

Memory Trick for Exam

PCM ↓ Sampling ↓ Quantization ↓ Encoding ↓ Binary Data

Bas ye 4 steps yaad rakho, PCM kabhi nahi bhoologe.


RGPV Exam Keywords


Most Expected Questions

2 Marks

5 Marks

7 Marks

14 Marks

Data Rate and Baud Rate

Digital Communication systems me Data Rate aur Baud Rate do bahut important terms hain. Students aksar dono ko same samajh lete hain, lekin exam me inka difference frequently poocha jata hai.


Data Rate Definition

Data Rate communication channel me ek second me transmit hone wale total bits ki sankhya hoti hai.

Data Rate = Number of Bits ---------------- Second

Unit = bits per second (bps)


Example of Data Rate

Agar 1 second me 5000 bits transmit ho rahi hain:

Data Rate = 5000 bps

Applications of Data Rate


Baud Rate

Baud Rate communication channel me ek second me hone wale signal changes ya symbols ki sankhya batata hai.


Definition

Baud Rate is the number of signal elements or symbols transmitted per second.

Baud Rate = Symbols --------- Second

Unit = Baud


Difference Between Bit and Symbol

Bit information represent karta hai, jabki Symbol signal level represent karta hai.

Bit ↓ Information Symbol ↓ Signal Change

Relationship Between Data Rate and Baud Rate

Data Rate = Baud Rate × Bits Per Symbol

Example 1

Agar har symbol 1 bit represent karta hai:

Data Rate = 1000 Baud × 1 = 1000 bps

Example 2

Agar har symbol 4 bits represent karta hai:

Data Rate = 1000 Baud × 4 = 4000 bps

Bit Rate

Bit Rate aur Data Rate generally same concept represent karte hain. Bit Rate batata hai ki ek second me kitne bits transmit ho rahe hain.


Definition

Bit Rate is the number of bits transmitted per second.

Bit Rate = Bits / Second

Unit of Bit Rate


Importance of Bit Rate


Data Rate vs Baud Rate

Data Rate Baud Rate
Bits per second Symbols per second
Measures information speed Measures signal speed
Unit = bps Unit = Baud
Can be greater than Baud Rate Usually lower

Multiplexed PCM Signal

Practical communication systems me multiple PCM signals ko ek hi transmission channel par bhejna hota hai.

Is purpose ke liye TDM (Time Division Multiplexing) ka use kiya jata hai.


Definition

A Multiplexed PCM Signal is obtained when multiple PCM channels are combined using Time Division Multiplexing and transmitted through a common communication channel.


Need of Multiplexed PCM


Block Diagram

PCM Channel 1 PCM Channel 2 PCM Channel 3 PCM Channel 4 ↓ TDM Multiplexer ↓ Single Channel ↓ TDM Demultiplexer ↓ Original PCM Channels

Working of Multiplexed PCM Signal

  1. Each analog signal is converted into PCM.
  2. PCM outputs enter TDM multiplexer.
  3. Time slots are assigned to each channel.
  4. Combined signal is transmitted.
  5. Receiver separates channels using demultiplexer.
  6. Original signals are reconstructed.

Advantages of Multiplexed PCM


Applications


Numerical Formula Used in PCM

Bit Rate = Sampling Frequency × Number of Bits

Example

Suppose:

Bit Rate = 8000 × 8 = 64000 bps = 64 kbps

This is the standard PCM bit rate used in telephone systems.


Memory Trick for Exams

Bit Rate ↓ Bits / Second Baud Rate ↓ Symbols / Second PCM + TDM ↓ Multiplexed PCM Signal

RGPV Exam Keywords


Most Expected Questions

2 Marks

5 Marks

7 Marks

14 Marks

Differential Pulse Code Modulation (DPCM)

Pulse Code Modulation (PCM) me har sample ko encode kiya jata hai. Is wajah se bahut zyada bits required hoti hain. DPCM is problem ko solve karta hai.

DPCM me actual sample value transmit nahi ki jati. Sirf present sample aur previous sample ke beech ka difference transmit kiya jata hai.


Definition

Differential Pulse Code Modulation (DPCM) is a technique in which the difference between the present sample and predicted sample is encoded and transmitted.


Basic Principle of DPCM

Present Sample ↓ Predictor ↓ Difference Signal ↓ Quantizer ↓ Encoder ↓ DPCM Output

Working of DPCM

  1. Current sample obtain kiya jata hai.
  2. Previous sample ke basis par prediction ki jati hai.
  3. Actual aur predicted value ka difference nikala jata hai.
  4. Difference signal quantize kiya jata hai.
  5. Encoded data transmit ki jati hai.

Example

Sample Number Actual Value Predicted Value Difference
1 10 8 2
2 15 13 2
3 18 16 2

DPCM sirf difference value transmit karta hai.


Advantages of DPCM


Disadvantages of DPCM


Applications of DPCM


Delta Modulation (DM)

Delta Modulation DPCM ka simplified version hai.

DPCM me difference value transmit hoti hai, jabki Delta Modulation me sirf yeh bataya jata hai ki signal increase hua hai ya decrease.


Definition

Delta Modulation is a technique in which only one-bit information is transmitted indicating whether the signal is increasing or decreasing.


Basic Principle of DM

Signal Increasing ↓ Transmit 1 ---------------- Signal Decreasing ↓ Transmit 0

Block Diagram of DM

Input Signal ↓ Comparator ↓ 1-Bit Quantizer ↓ Encoder ↓ DM Output

Working of DM

  1. Current sample previous sample se compare kiya jata hai.
  2. Agar signal increase kare to binary 1 transmit hota hai.
  3. Agar signal decrease kare to binary 0 transmit hota hai.
  4. Receiver staircase waveform generate karta hai.

Advantages of DM


Disadvantages of DM


Slope Overload Distortion

Jab input signal bahut fast change hota hai aur staircase signal usko follow nahi kar pata tab slope overload distortion hoti hai.

Input Signal ↗↗↗↗↗ DM Output ↗ ↗ ↗ ↓ Slope Overload

Granular Noise

Jab step size bahut large hoti hai aur signal slowly vary karta hai tab output signal me unnecessary oscillations create hoti hain.

Large Step Size ↓ Signal Oscillation ↓ Granular Noise

Adaptive Delta Modulation (ADM)

Delta Modulation ki sabse badi problem slope overload aur granular noise hai.

ADM in dono problems ko solve karta hai.


Definition

Adaptive Delta Modulation is a modified form of Delta Modulation in which step size changes automatically according to the input signal.


Basic Principle of ADM

Slow Signal Change ↓ Small Step Size ---------------- Fast Signal Change ↓ Large Step Size

Working of ADM

  1. Input signal continuously monitored hota hai.
  2. Fast changing signal ke liye step size increase hoti hai.
  3. Slow changing signal ke liye step size decrease hoti hai.
  4. Output signal accurately track hota hai.

Advantages of ADM


Disadvantages of ADM


Applications of ADM


DPCM vs DM vs ADM

Feature DPCM DM ADM
Bit Requirement Low Very Low Low
Complexity Medium Low High
Accuracy High Low Very High
Slope Overload No Yes Reduced
Granular Noise No Yes Reduced

Memory Trick for Exams

PCM ↓ Complete Sample DPCM ↓ Difference Value DM ↓ 1 Bit (Up/Down) ADM ↓ Variable Step Size

RGPV Exam Keywords


Most Expected Questions

2 Marks

5 Marks

7 Marks

14 Marks

Comparison of Various Systems

Unit 4 me bahut saari modulation aur coding techniques padhte hain. Exam me frequently comparison-based questions pooche jate hain.

Agar aap comparisons yaad kar lete ho to 5 marks, 7 marks aur 14 marks ke questions bahut easily attempt kar sakte ho.


PAM vs PCM

PAM PCM
Pulse Amplitude Modulation Pulse Code Modulation
Analog Technique Digital Technique
Amplitude varies Binary code transmitted
Less Noise Immunity High Noise Immunity
Simple Design Complex Design
Lower Bandwidth Higher Bandwidth

PCM vs DPCM

PCM DPCM
Complete sample transmitted Difference transmitted
Higher Bit Rate Lower Bit Rate
More Bandwidth Required Less Bandwidth Required
Simple Concept Uses Predictor Circuit
No Prediction Prediction Based

PCM vs DM

PCM DM
Multi-bit Encoding Single Bit Encoding
High Accuracy Lower Accuracy
Complex System Simple System
Higher Cost Lower Cost
No Slope Overload Slope Overload Possible

DM vs ADM

DM ADM
Fixed Step Size Variable Step Size
Slope Overload Present Slope Overload Reduced
Granular Noise Present Granular Noise Reduced
Simple Design Complex Design
Lower Quality Higher Quality

PWM vs PPM

PWM (PDM) PPM
Pulse Width Changes Pulse Position Changes
Amplitude Constant Amplitude Constant
Easier Synchronization Difficult Synchronization
Moderate Complexity Higher Complexity
Widely Used Special Applications

PAM vs PWM vs PPM

Technique Changing Parameter Constant Parameter
PAM Amplitude Width and Position
PWM Width Amplitude and Position
PPM Position Amplitude and Width

DPCM vs DM vs ADM

Feature DPCM DM ADM
Bit Requirement Low Very Low Low
Complexity Medium Low High
Accuracy High Low Very High
Slope Overload No Yes Reduced
Granular Noise No Yes Reduced
Communication Quality Good Average Excellent

Most Important Exam Comparison

PAM ↓ Amplitude Changes ---------------- PWM ↓ Width Changes ---------------- PPM ↓ Position Changes ---------------- PCM ↓ Binary Code ---------------- DPCM ↓ Difference Transmitted ---------------- DM ↓ 1 Bit Up/Down ---------------- ADM ↓ Variable Step Size

Memory Shortcut for RGPV Exam

Agar examiner comparison pooche to ye sequence yaad rakho:

PAM → Amplitude PWM → Width PPM → Position PCM → Binary Code DPCM → Difference DM → One Bit ADM → Adaptive Step Size

Most Expected Questions

5 Marks

7 Marks

14 Marks

IT404 Unit 4 PYQ Analysis – Sampling, PCM, DPCM, DM & ADM

This PYQ analysis is based on previous RGPV Analog & Digital Communication examination trends. Unit 4 is one of the highest scoring units because numerical questions, theory questions and comparison-based questions are repeatedly asked.


⭐ Most Repeated Questions

✅ Sampling Theorem

Repeatedly asked as 7 marks and 14 marks question.

Topics:
• Nyquist Rate
• Nyquist Frequency
• Aliasing
✅ Pulse Code Modulation (PCM)

One of the most important long-answer topics.

Topics:
• Block Diagram
• Working
• Advantages
• Applications
✅ Quantization

Frequently asked with PCM.

Topics:
• Quantization Levels
• Quantization Error
• Quantization Noise
✅ Delta Modulation (DM)

Repeated theory question.

Topics:
• Working
• Slope Overload Distortion
• Granular Noise
✅ Adaptive Delta Modulation (ADM)

Frequently asked comparison question.

Topics:
• Variable Step Size
• Advantages over DM

🔥 Frequently Asked 7 Marks Questions

Sampling Theorem
Nyquist Rate and Aliasing
Pulse Amplitude Modulation (PAM)
Types of Sampling
Aperture Effect
Time Division Multiplexing (TDM)
Pulse Code Modulation (PCM)
Quantization Error
Differential PCM (DPCM)
Delta Modulation (DM)
Adaptive Delta Modulation (ADM)
Companding

🎯 Unit 4 Prediction 2026

Priority Expected Question
★★★★★ Sampling Theorem with Nyquist Rate and Aliasing
★★★★★ Pulse Code Modulation (PCM)
★★★★★ Quantization and Quantization Error
★★★★★ Delta Modulation (DM)
★★★★★ Adaptive Delta Modulation (ADM)
★★★★☆ DPCM
★★★★☆ Time Division Multiplexing (TDM)
★★★★☆ Companding
★★★★☆ PAM and Types of Sampling
★★★★☆ PPM and PWM Comparison

Important Questions – IT404 Unit 4


🔥 Unit 4 Sure-Shot Topics

1. Sampling Theorem 2. Nyquist Rate 3. Aliasing 4. PCM 5. Quantization 6. Quantization Error 7. DPCM 8. Delta Modulation 9. Adaptive Delta Modulation 10. TDM 11. Companding 12. Multiplexed PCM Signal These topics cover the majority of marks in IT404 Unit 4 examinations.

Frequently Asked Questions (FAQs) – IT404 Unit 4

These FAQs are designed for RGPV students preparing Analog & Digital Communication Unit 4. They cover the most searched and most commonly asked examination topics.


Q1. What is Sampling in Digital Communication?

Sampling is the process of converting a continuous-time analog signal into a discrete-time signal by taking samples at regular intervals.


Q2. What is Nyquist Sampling Theorem?

According to Nyquist Sampling Theorem, a signal must be sampled at a frequency greater than or equal to twice its maximum frequency component for perfect reconstruction.

fs ≥ 2fm

Q3. What is Aliasing?

Aliasing occurs when the sampling frequency is less than the Nyquist Rate. In this case, different frequency components overlap and signal distortion occurs.


Q4. What is Pulse Amplitude Modulation (PAM)?

PAM is a modulation technique in which the amplitude of pulses varies according to the amplitude of the message signal while pulse width and position remain constant.


Q5. What are the types of Sampling?


Q6. What is Aperture Effect?

Aperture Effect is the distortion caused due to finite pulse width in Flat Top Sampling.


Q7. What is Time Division Multiplexing (TDM)?

TDM is a multiplexing technique in which multiple signals share a common communication channel by using different time slots.


Q8. What is PCM?

PCM (Pulse Code Modulation) is a digital communication technique in which an analog signal is sampled, quantized and encoded into binary form.


Q9. What are the steps of PCM?

Sampling ↓ Quantization ↓ Encoding ↓ Transmission

Q10. What is Quantization?

Quantization is the process of converting continuous amplitude values into discrete levels.


Q11. What is Quantization Error?

Quantization Error is the difference between the actual sampled value and the quantized value.


Q12. What is Signal to Noise Ratio (SNR)?

SNR is the ratio of signal power to noise power and is used to measure communication quality.

SNR = Signal Power ------------ Noise Power

Q13. What is Companding?

Companding is a technique that improves SNR by compressing the signal before transmission and expanding it after reception.


Q14. What is DPCM?

DPCM (Differential PCM) transmits the difference between present and predicted sample values instead of transmitting the complete sample.


Q15. What is Delta Modulation (DM)?

Delta Modulation is a digital modulation technique that uses only one bit to indicate whether the signal is increasing or decreasing.


Q16. What is Slope Overload Distortion?

Slope Overload Distortion occurs when the input signal changes rapidly and the Delta Modulation output cannot follow it.


Q17. What is Granular Noise?

Granular Noise occurs when the step size is too large compared to slow variations in the input signal.


Q18. What is Adaptive Delta Modulation (ADM)?

ADM is an improved version of Delta Modulation in which the step size changes automatically according to the input signal.


Q19. What is the difference between PCM and DPCM?

PCM transmits complete sample values, whereas DPCM transmits only the difference between samples.


Q20. Which topics are most important for IT404 Unit 4 exams?

The most important topics are:


🔥 RGPV Exam Tip Prepare: ✓ Sampling Theorem ✓ PCM ✓ Quantization Error ✓ TDM ✓ DPCM ✓ DM ✓ ADM These topics frequently appear in university examinations and can help score maximum marks.

Related IT404 Units

After completing Unit 4, students should continue with the remaining units of Analog & Digital Communication to prepare effectively for RGPV examinations.

Complete Unit 4 Revision Sheet

Use the following quick revision sheet before your university examination.

UNIT 4 REVISION 1. Sampling 2. Sampling Theorem 3. Nyquist Rate 4. Nyquist Frequency 5. Aliasing 6. PAM 7. Types of Sampling 8. Aperture Effect 9. TDM 10. Channel Bandwidth 11. PPM 12. PWM 13. Digital Signal 14. Quantization 15. Quantization Error 16. PCM 17. Signal to Noise Ratio 18. Companding 19. Data Rate 20. Baud Rate 21. Bit Rate 22. Multiplexed PCM 23. DPCM 24. Delta Modulation 25. Adaptive Delta Modulation 26. Comparison of Systems

Last Minute Exam Strategy

If your exam is tomorrow and you have limited time, follow this sequence.

HIGH PRIORITY ★★★★★ 1. Sampling Theorem 2. PCM 3. Quantization 4. Quantization Error 5. DPCM 6. Delta Modulation 7. ADM -------------------- MEDIUM PRIORITY ★★★★☆ 1. PAM 2. TDM 3. Companding 4. Bit Rate 5. Baud Rate -------------------- LOW PRIORITY ★★★☆☆ 1. PPM 2. PWM 3. Detailed Numerical Examples

Why Unit 4 is Important?

Unit 4 forms the foundation of digital communication systems. Most modern communication technologies including mobile networks, internet communication, digital telephony and multimedia transmission are based on concepts such as sampling, PCM and digital modulation.

Understanding Unit 4 will make Unit 5 easier because many digital modulation concepts directly depend on digital signal representation and PCM techniques.

Conclusion

In this unit, we studied Sampling of Signals, Sampling Theorem, Pulse Amplitude Modulation (PAM), Time Division Multiplexing (TDM), Pulse Position Modulation (PPM), Pulse Width Modulation (PWM), Quantization, Quantization Error, Pulse Code Modulation (PCM), Signal to Noise Ratio (SNR), Companding, Data Rate, Baud Rate, Bit Rate, Multiplexed PCM Signal, Differential PCM (DPCM), Delta Modulation (DM) and Adaptive Delta Modulation (ADM).

These topics are extremely important for RGPV university examinations and also form the basis of modern digital communication systems. Students should practice diagrams, comparison tables and important questions regularly to score maximum marks.

🎯 UNIT 4 SCORE BOOSTER Prepare: ✓ Sampling Theorem ✓ PCM ✓ Quantization Error ✓ DPCM ✓ DM ✓ ADM ✓ TDM These topics alone can cover a major portion of the examination paper.