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Amplitude modulation Simulation

Date post: 15-Jul-2015
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Prepared By Prepared By Engr. Tafseer Ahmed Engr. Tafseer Ahmed
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Prepared ByPrepared ByEngr. Tafseer AhmedEngr. Tafseer Ahmed

AMPLITUDE AMPLITUDE MODULATIONMODULATION

AND AND DEMODULATIONDEMODULATION

MODULATION:MODULATION: Modulation is the process of varying one Modulation is the process of varying one

or more properties of a high-frequency or more properties of a high-frequency periodic waveform, called the carrier periodic waveform, called the carrier signal, with a modulating (message) signal signal, with a modulating (message) signal which typically contains information to be which typically contains information to be transmitted.transmitted.

TYPES OF MODULATIONTYPES OF MODULATION Amplitude Modulation.Amplitude Modulation. Frequency Modulation.Frequency Modulation. Phase Modulation. Phase Modulation.

OUR OBJECTIVEOUR OBJECTIVE Our objective is to implement amplitude Our objective is to implement amplitude

modulation using Matlab. modulation using Matlab.

AMPLITUDE MODULATIONAMPLITUDE MODULATION A type of modulation in which the A type of modulation in which the

amplitude of the carrier wave (signal) amplitude of the carrier wave (signal) changes according to the amplitude of changes according to the amplitude of message (modulating) signal.message (modulating) signal.

In this modulation the frequency of the In this modulation the frequency of the carrier signal remains same.carrier signal remains same.

PROCEDURE WHICH WE PROCEDURE WHICH WE HAVE FOLLOWED IN HAVE FOLLOWED IN

MATLABMATLAB

SPECIFICATION AND SPECIFICATION AND IMPORTANT TERMENOLOGIESIMPORTANT TERMENOLOGIES

SAMPLING FREQUENCY (fs)SAMPLING FREQUENCY (fs) The The sampling ratesampling rate , , sample ratesample rate , ,

or or sampling frequencysampling frequency  (fs) defines the  (fs) defines the number of number of samplessamples per unit  per unit of time (usually seconds) taken from of time (usually seconds) taken from a continuous signal to make a discrete a continuous signal to make a discrete signal. signal.

Here in our code we use fs =1000Here in our code we use fs =1000

SAMPLING TIME (ts)SAMPLING TIME (ts) The time interval after which we take the The time interval after which we take the

sample of our message signal.sample of our message signal. It is the reciprocal of sampling frequency It is the reciprocal of sampling frequency

(fs).(fs). Here in our code we use ts =1/1000Here in our code we use ts =1/1000

Nyquist–Shannon sampling Nyquist–Shannon sampling theorem theorem

states that perfect reconstruction of a states that perfect reconstruction of a signal is possible when the sampling signal is possible when the sampling frequency is greater than twice the frequency is greater than twice the maximum frequency of the signal being maximum frequency of the signal being sampled.sampled.

fs ≥ 2fmfs ≥ 2fm

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9-4

-3

-2

-1

0

1

2

3

4The Modulating Signal

n

x1

-500 -400 -300 -200 -100 0 100 200 300 400 5000

200

400

600

800

1000

1200

1400

1600

1800

The Modulating Signal in Frequency Domain

Frequency

Mag

nitu

de o

f X

1F

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9-5

0

5The Carrier Signal

n

xc

-500 -400 -300 -200 -100 0 100 200 300 400 5000

200

400

600

800

1000

1200

1400

1600

1800

The Carrier Signal in Frequency Domain

Frequency

Mag

nitu

de o

f X

cF

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

-8

-6

-4

-2

0

2

4

6

8

The Modulated Signal

n

X

-500 -400 -300 -200 -100 0 100 200 300 400 5000

200

400

600

800

1000

1200

1400

1600

1800

The Modulated Signal in Frequency Domain

Frequency

Mag

nitu

de o

f X

F

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9-4

-2

0

2

4The Modulating Signal

n

x1

0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45-5

0

5The Carrier Signal

n

xc

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

-5

0

5

The Modulated Signal

n

X

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.90

1

2

3

4

5

6

7

8

9Xint

n

Xin

t

-500 -400 -300 -200 -100 0 100 200 300 400 5000

500

1000

1500

2000

2500Xint in Frequency Domain

Frequency

Mag

nitu

de o

f X

intF

0 50 100 150 200 250 300 350 400 450 5000

500

1000

1500

2000

2500Xint (Before DC Offset Elimination) in Frequency Domain

Frequency

Mag

nitu

de o

f X

intF

0 50 100 150 200 250 300 350 400 450 5000

200

400

600

800

1000

Xint (After DC Offset Elimination) in Frequency Domain

Frequency

Mag

nitu

de o

f X

intF

0 100 200 300 400 500 600 700 800 900 1000

-2

-1

0

1

2

3

4

5

6

Xint (After DC Offset Elimination) in Time Domain

n

Xin

tT

0 200 400 600 800 1000 1200

-3

-2

-1

0

1

2

3

4

The Recovered Signal

n

Xre

c

THANKSTHANKS


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