• No results found

B2_Amplitude Modulation 2013.pdf (4661k)

N/A
N/A
Protected

Academic year: 2020

Share "B2_Amplitude Modulation 2013.pdf (4661k)"

Copied!
77
0
0

Loading.... (view fulltext now)

Full text

(1)

SEE 3533

COMMUNICATION PRINCIPLES

Chapter II – Amplitude Modulation

(2)

2.0 Amplitude Modulation (AM)

Objective:

To learn AM modulation and demodulation technique.

To learn AM generation and detection.

AM modulation technique will be studied:

Double Side Band Full Carrier (DSBFC)

Double Side band Suppressed Carrier (DSBSC)

Single Side Band (SSB)

Single Side Band Suppressed Carrier (SSBSC)

(3)

3

2.1 Introduction

Baseband: is a range of frequency signal to be transmitted. eg: Audio (0 - 4 kHz), Video (0 - 6 MHz).

Baseband Communication

Transmission without frequency shifting.

Transmission through twisted pair cable, coaxial cable and fiber optic cable.

Significant power for whole range of frequencies.

Not suitable for radio/microwave and satellite communication.

Carrier Communication

Use technique of modulation to shift the frequency.

Change the carrier signal characteristics (amplitude, frequency and phase) following the modulating signal amplitude.

(4)

2.2 DSB-FC – Full AM

AM modulation is a fundamental modulation process in communication system.

Carrier frequency signal >> than modulating frequency signal.

=> fc >> fm.

Modulator is used to generate AM signal, amDSB-FC(t). It is shown in block diagram below.

E

v

t

t

t

v

AM

(

)

c

m

(

)

cos

c

v

m

(

t

)

v

c

(

t

)

AM Modulator

Modulating signal

Carrier signal

(5)

5 • Let :

Therefore, amDSBFC signal can be expressed:

Given the modulation index :

amDSBFC can be deduced to:

From trigonometry identities:

Therefore: c m

E

E

m

m

t

t

E

t

v

AM

(

)

c

1

cos

m

cos

c

A

B

A

B

B

A

cos

2

1

cos

2

1

)

cos(

)

cos(

t

mE

t

mE

t

E

t

t

mE

t

E

t

v

m c c m c c c c m c c c c AM

cos

2

cos

2

cos

cos

cos

cos

)

(

 

E

E

t

t

t

v

t

t

v

E

t

v

c m m c AM c m c AM

cos

cos

)

(

cos

)

(

t

E

t

v

c

(

)

c

cos

c

t

E

t

(6)

Signal frequency spectrum ; amDSBFC

t

t

mE

t

E

t

v

AM

c

c

c

cos

c

m

cos

c

m

2

cos

)

(

Carrier signal Sidebands signal

) (V Amplitud

) (rads1

c

c m m

c

 

0

c

E

2

c

mE

2

c

mE

m

2 2

m

c E

mE

m

E

where

Jalur Sisi Bawah LSB

Jalur Sisi Atas USB Carrier band

(7)

7

0

m

1

c m

E

E

m

)

(

,

1

E

m

E

c

m

)

(

,

1

E

m

E

c

m

)

(

,

1

E

m

E

c

m

The modulation index is given by :

(8)

The phase change for carrier signal when over-modulation

occurs and must be avoided.

Modulation depth

greater than 100% must be

avoided,

(

m

> 1 > 100%)

(9)

9

2.2.2 Modulation Index,

m

min max min max min max min max               V V V V V V V V m p p p p p p p p V V V V m        min max min max where m c E E

V max  V min EcEm

 

 

m m c m c m c m c E E E E E E E E E E m         or dan Therefore m E m E m E m E

m t

E

Sampul  c 1 cosm

m t

E

Sampul   c 1 cosm

(10)

2.2.3 Power, AM

In the modulation process signal has been converted to electrical signal in terms of current or voltage.

The expression of AM signal components can be represented as follows:

) (V Amplitud

) (rads1

c

c m m

c

 

0

c

E

2

c

mE

2

c

mE

2 2

m

c E

mE Di mana

t

mE

t

mE

t

E

t

v

AM

c

c

c

c

m

c

cos

c

m

2

cos

2

cos

)

(

(11)

11

R

E

m

R

E

m

R

E

R

mE

R

mE

R

E

R

V

R

V

R

V

P

P

P

P

c c c c c c USB LSB c USB LSB c T rms rms rms

8

8

2

2

2

2

2

2

2 2 2 2 2 2 2 2 2 2 2

R

E

P

c c

2

2

4

2 c USB LSB

P

m

P

P

where Therefore

2

4

4

2 2 2 c c c USB LSB SB

P

m

P

m

P

m

P

P

P





2

1

2

2 2

m

P

P

m

P

P

P

P

c c c SB c T and

Therefore the relationship between the total power transmitted, PT and the carrier signal power, Pc is as

(12)





2

1

2

m

P

P

P

T AM c

%

100

T SB

P

P

Watt

Transmission efficiency, η for AM:

2 2 2

2 2

2

2

2

1

2

2

1

2

m

m

m

m

m

P

P

m

c

c









where PSB is the total sidebands signal power that contains information

If m = 1 (100% modulation), the average power, PSB = 50% Pc= Pc/2

(13)

13

2 2

2

m

m

From:

The transmission efficiency with m = 1 is only 33.33% .

Therefore we can conclude that the transmitted power signal is mostly carrier power signal contributing of 66.67% from the total AM signal.

Whereas signal contains information in the LSB and USB transmitted is 33.33% from the total AM signal.

In practice, information signal is complex or non periodic signal,

eg: music, voice, image and etc. Its consists of many frequencies and harmonics components.

Its can be represented:

...

2

;

2

...

cos

cos

)

(

2 2

1 1

2 2

1 1

m m

m m

m m

m m

m

f

f

where

t

E

t

E

t

v

(14)
(15)

15

Each sideband is equal in bandwidth to that of the modulating signal and is a mirror image of the other.

Amplitude modulation is inefficient in terms of power usage and much of it is wasted. (66.67%)

At least two-thirds of the power is concentrated in the carrier signal, which

carries no useful information

The remaining power is split between two identical sidebands, though only one of these is needed since they contain identical information.

) (rads1

c

c m m

c

 

0

c

E

2

c

mE

2

c

mE

2 2

m

c E

mE where

Amplitude(V)

(16)

2.3 DSBSC

To increase transmitter efficiency, the carrier can be

removed (suppressed) from the AM signal.

This produces a

reduced-carrier transmission

or

double-sideband suppressed carrier

(DSBSC) signal.

A suppressed carrier amplitude modulation scheme

is

three times more power efficient

than traditional

DSBFC.

DSBSC Modulator

v

DSBSC

(

t

)

v

m

(

t

)

cos

c

t

vm(t)

(17)

17

A B

A B

B

A    cos 

2 1 cos

2 1 ) cos( )

cos(

t

E

t

E

t

t

E

t

v

m c

m m

c m

m c

m DSBSC

cos

2

cos

2

cos

cos

)

(

t

E

t

v

m

(

)

m

cos

m

t

t

E

t

v

DSBSC

(

)

m

cos

m

cos

c

Let :

Therefore

v

DSBSC becomes :

From trigonometry identity :

(18)

Frequency spectrum signal

am

DSBSC

)

(

V

Amplitude

)

(

rads

1

c

c

m

m

c

0

2

m

E

2

m

E

m

2

m

E

Jalur Sisi Bawah LSB

Jalur Sisi Atas USB

Modulating band

t

E

t

E

t

v

DSBSC

m

c

m

m

cos

c

m

2

cos

2

)

(

(19)

19

2.3.1.1 Power,

am

DSBSC

Components representation for amDSBSC signal:

)

(

V

Amplitud

) (rads1

c

c

m

m c

0

2

m

E

2

m

E

t

E

t

E

t

am

DSBSC

m

c

m

m

cos

c

m

2

cos

2

)

(

Isyarat LSB Isyarat USB

LSB

(20)

R

E

R

E

R

E

R

E

R

E

R

V

R

V

P

P

P

m

m m

m m

USB LSB

USB LSB

T

rms rms

4

8

8

2

2

2

2

2

2 2

2 2

2 2

In DSBSC, all the power transmitted is sidebands power.

If R = 1 ohm.

4

2

m T

E

P

SB

T

P

P

(21)

21

2.3.2 SSB

Both in amDSBFC and amDSBSC , the transmission bandwidth= 2 times the modulating signal bandwidth , vm(t).

Both techniques transmit 2 sidebands i.e LSB and USB, which contain identical information - the wastage of energy still occur.

Another technique to reduce the transmitted power is amSSB .

In this technique of modulation only one sideband will be transmitted either LSB or USB signal.

Pemodulat SSB

am

SSB

t

v

m

t

c

t

v

h

(

t

)

sin

c

t

2

1

cos

)

(

2

1

)

(

vm(t)

(22)

To analyze, let vm(t) :

and

Therefore amSSB :

From trigonometry:

t

E

t

v

m

(

)

m

cos

m

t

E

t

E

t

E

t

E

t

am

m c m m c m m c m m c m SSB

cos

4

cos

4

cos

4

cos

4

)

(

t

t

E

t

t

E

t

am

SSB m

m

c m

sin

m

sin

c

2

cos

cos

2

)

(

t

E

t

E

t

v

h m

m

m

sin

m

2

cos

)

(

A B

kos

A B

kos B

kos A

kos    

2 1 2 1 ) ( )

( A Bkos

AB

kos

AB

(23)

23

We can choose to transmit LSB or USB signal.

Minus will have amSSB-LSB and plus will have amSSB-USB

   

   

t

E t E t E t E t E t t E t kos t E t am m c m m c m m c m m c m m c m c m m c m m USB SSB                               cos 2 cos 4 cos 4 cos 4 cos 4 sin sin 2 cos 2 ) (

   

   

(24)

t

E

t

am

SSB

(

)

m

cos

c

m

Isyarat

am

SSB-LSB

t

E

t

(25)

25

Frequency spectrum isyarat

am

SSB

t

E

t

E

t

am

m c

m

m c

m

SSB

cos

2

cos

2

)

(

Isyarat amSSB-LSB

Isyarat amSSB-USB

)

(

V

Amplitud

) (rads1

c

c

m

m c

0

2

m

A

2

m

A

m

m

A

Jalur Sisi Bawah LSB

Jalur Sisi Atas USB

(26)

2.3.2.1 Power

am

SSB

Mathematical representation for amSSB signal components:

)

(

V

Amplitud

) (rads1

c

c

m

m

c

0

2

m

E

2

m

E

Isyarat LSB

Isyarat USB

LSB

V

USB

V

t

E

t

E

t

am

m c

m

m c

m

SSB

cos

2

cos

2

(27)

27

R

E

R

E

R

E

R

E

R

E

R

E

R

V

R

V

P

P

P

m m

m m

m m

USB LSB

USB LSB

T

rms rms

4

4

8

8

2

2

2

2

2 2

2 2

2 2

2 2

We therefore reduced the

transmitting power by 50%

compared to amDSB-SC . Assume, R

= 1 Ohm.

Therefore

4

2

m T

E

P

USB LSB

T

P

P

P

(28)

Spektrum frekuensi isyarat amSSB

        t A t A t am m c m m c m SSB     cos 2 cos 2 ) (

Isyarat amSSB-LSB

Isyarat amSSB-USB

m c m m c m m c m m c m SSB

f

f

f

A

f

f

f

A

f

f

f

A

f

f

f

A

f

AM

2

2

2

2

)

(

Spektrum amSSB-LSB

Spektrum amSSB-USB

) (Hz f ) (V Amplitud c

f fcfm m

c f

f

0 fm

2

m

A

Jalur Memodulat

m

(29)

29

• VSB signal spectrum

( ) c ( ) cos(2 c ) c '( ) sin(2 c )

s tA m tf t A m tf t

Vestigal Sideband (VSB)

Vestigial sideband (VSB) transmission : Modified AM transmission in which one sideband, the carrier, and only a portion of the other sideband are

transmitted

VSB Signal, Spectrum

• VSB signal waveform

( ) c ( )cos(2 c ) c '( )sin(2 c )

s tA m tf t A m tf t

where: '( ) : the output of ( ) passing a filter

( ) : full upper sideband, with a partial lower sideband. ( ) : full lower sideband, with a partial upper sideband.

m t m t

(30)

2.4

AM Generation (DSBFC)

2 methods – Direct and Indirect methods.

(i) Direct - Kaedah terus

+

Ec

cosct

vs(t)cosct

v

AM

(

t

)

Balanced modulator Isyarat asal

vs(t)

mixer

 

 

 

E

v

t

t

t

t

v

t

E

t

v

c s

c

c s

c c

AM

cos

cos

cos

(31)

31

(ii) Indirect - Kaedah tidak terus

v

s

(

t

)

v

c

(

t

)

v

i

v

k

v

o

peranti tidak linar

Penapis Lulus Jalur

(BPF)

 

 

t

E

t

v

t

E

t

v

c c

c

s s

s

cos

cos

 

t

v

   

t

v

t

v

i

s

c

Input signal :

t

E

t

E

v

i

s

cos

s

c

cos

c

...

3 3 2

2 1

0

i i i

k

E

m

v

m

v

m

v

v

(32)

cos

cos

....

cos

cos

cos

cos

....

cos

cos

2

cos

cos

cos

cos

....

cos

cos

cos

cos

2 2 2 2 2 2 2 1 1 0 2 2 2 2 2 2 2 1 1 0 2 2 1 0

t

t

E

E

m

t

E

m

t

E

m

t

E

m

t

E

m

E

t

t

E

E

m

t

E

m

t

E

m

t

E

m

t

E

m

E

t

E

t

E

m

t

E

t

E

m

E

v

s c s c c s c c s s c c s s c s c s c c s s c c s s c c s s c c s s k

Therefore:

Isyarat

v

k

(t) was then filtered using band pass filter

(BPF)

tuned at

the resonance (salun) frequency,

f

o

= f

c

.

t

t

E

m

m

E

m

t

t

E

E

m

t

E

m

v

c s s c s c s c c s c c o

cos

cos

2

1

cos

cos

cos

1 2 1 2 1





(33)

33

Compare the output signal:

 

t

E

m

ω

t

ω

t

v

AM

c

1

cos

s

cos

c

t

t

E

m

m

E

m

t

v

o

(

)

c

1

2

s

cos

s

cos

c

1 2

1





Didapati isyarat terhasil adalah sama kerana komponen frekuensi yang terhasil adalah sama walaupun berlainan amplitud.

Spektrum frekuensi sebelum penapis Spektrum frekuensi selepas penapis

vk

0

sambutan frekuensi

penapis pembawa

fs 2fs (fc-fs) fc (fc+fs) 2fc f vo

f LSB USB

pembawa

(34)

2.5 Generation of DSBSC

Direct – menggunakan pemodulat terimbang/balanced modulator.

Fungsinya seperti pendarab/multiplier – menghasilkan isyarat LSB dan USB sahaja.

Isyarat asal

vs(t)

vc(t)

vs(t)cosct Pendarab

v

v

(a) Isyarat maklumat

t

t v

DSBSC

t

(35)

35

Isyarat pembawa,

v

c

diberi oleh siri Fourier sebagai ;

Mathematical Analysis

v

c

(t)= { sin

c

t

+ sin 3

c

t

+ ………}

If

v

s

(t)= E

s

cos

s

t

dan

k

is a multiplier sensitivity factor

Modulator output can be expressed:

   

                                         t t kE t t kE t t kE t t kE t t t kE t v t kv v s c s c s s c s c s c s c s s c s s c c s s c s o

2 cos 2 cos 2 sin sin 2 sin sin 2 1 4 ... sin 4 cos 3 sin 3 1 sin 4 cos

(36)

Generation DSBSC – Indirect method

v

s

(t))cos

c

t

(Isyarat DSBSC)

E

c

cos

c

t

½

v

s

(t)

v

s

(t)

(

E

c

v

s

(t)

)

cos

c

t

(

E

c

v

s

(t)

)

cos

c

t

+

+

-

AM

modulator AM

modulator

Using 2 full AM modulator

The input signal are the same with different polarity but the same carrier frequencies

(37)

37

2.6 Generation of SSBSC

Can be realized in two ways :

(i) Generate first DSBSC signal dan

(ii) Then filtered DSBSC signal with band pass filter (BPF)

v

DSBSC

v

SSBSC

Pemodulat terimbang

v

s

(

t

)

cos

c

t

BPF

BPF is a tuned circuit (litar tertala) that is very selective that will choose either LSB or USB to pass through.

Not important which sideband will be selected because both sidebands contain the same information.

(38)

Another method – using 2 balanced modulator that will produced 2 DSBSC signal with 180o phase difference (bezafasa).

The circuit is called litar anjakan fasa (phase shifting circuit).

Generation of SSBSC

Pemodulat terimbang 1

Anjakan fasa 900

+

v

SSBSC

Pemodulat Phase shift

900

t

ω

t

ω

mE

v

1

c

cos

s

cos

c

t

ω

E

t

v

s

(

)

s

cos

s

t

ω

E

s

sin

s

t ωc

cos

t ωc

sin

mixer + +

Phase Shift Method pg.176, B.P.Lathi

- /2

Which delays the phase of every

spectral component

(39)

39

Output balanced modulator 1 :

Mathematical Analysis

t

t

mE

t

v

1

(

)

c

cos

s

cos

c

t

t

mE

t

v

2

(

)

c

sin

s

sin

c

Output balanced modulator 2 :

Hence output :

v

SSBSC

=

v

1

(t) + v

2

(t)

cos

}

{cos

2

}

cos

{cos

2

sin

sin

cos

cos

t

t

mE

t

t

mE

t

t

mE

t

t

mE

s c

s c

c

s c

s c

c

c s

c c

s c

t

mE

(40)

• VSB signal spectrum

( ) c ( ) cos(2 c ) c '( ) sin(2 c )

s tA m tf t A m tf t

2.7 Generation of VSB

v

VSB

Penapis

VSB

v

s

(

t

)

v

DSBSC

2cos

c

t

f (Hz)

v

VSB

LSB USB

carrier

(41)

41

2.8 Demodulation/Penyahmodulatan

Information

signal

Information

signal

Rx

Tx

Modulated signal

(AM/FM)

Process to get beack the modulating signal or original signal. Done at the receiver part.

Demodulation done by demodulator circuit also called detector circuit.

Simple and economic detector for AM wave is envelope detector (pengesan sampul).

(42)

2.8.1 Demodulation AM

DSB-FC

(i) Envelope Detector Circuit – other name Rectifier

Detector

(Pengesan

Penerusuai)

or Diode Detector

(Pengesan Diod)

Low cost

Simple

Does not need local carrier generator

Original signal

overlap with the envelope modulated

signal

+ C’

R’ R

a b c d

C

LPF

[Ec+ vs(t)] cos c t

(43)

43

(i)

Envelope Detector

IF RC is too large, voltage drop rate is slow and will cause diagonal clipping (perepangan pepenjuru) where parts of the peak input could not be detected at the output (Refer Rajah 2.18(a)) .

If RC is too small, output signal at the capacitor will have ripple (riak) and will cause distortion (wujud herotan) to the received information signal (Rujuk Rajah 2.18(b)) .

t

Rajah 2.18(a)

t

Rajah 2.18(b)

Discharge rate or voltage drop of the capacitor depends on RC time constant.

RC too

(44)

LPF Diode

Filter out DC component

R2 R1

C1

C2 Rs

m

ω

m

m

RC

2 / 1 2

1

To avoid that problem make sure the value of :

m – modulation index and

m – angle frequency of information signal

(45)

45 1

1  RsC

When s(t) > vo(t)

Diode, D in forward biased condition Capacitor, C1will charging up to

where

When s(t) < vo(t)

Diode, D in reverse biased condition Capacitor, C1 will discharge up to where 2R1C1

c

f

1

1 

BW fc

1 1

2  

s(t) v

o(t)

D

C1 R1 Rs

vo(t)

s(t)

D

C1 R1 Rs

(46)

Selection effect of RC value

Kesan pemilihan nilai RC right value

(47)

47

Mathematical Analysis

Assuming the function of the diode as a switch, output of the diode, Vd :

 

E

v

t

cos

ω

t

k

(

t

)

V

d

c

s c

where k(t) is a representative of switching function of the diode

 

cos

3

...

3

1

cos

2

2

1

cos

t

t

t

t

v

E

V

d c s c

c

c

 

 

 

 

keranapemuat C menghalangarus terus melaluinya. 1 1 . pada salun frekuensi mempunyai LPF gi lebih ting frekuensi 1 ... 3 cos 3 1 cos 2 2 1 cos '

c s d titik s c c titik s s c c c c s c b titik d E t v V t v E V f t v E t t t t v E V V                         +

a b c d

(48)

V pada titik a

t 0

[Ec+vs(t)] cos c t

Ec+vs(t)

1/ [Ec+vs(t)] V pada titik b

t

1/ [Ec+vs(t)] V pada titik c

t

1/ vs(t)

t V pada titik d

+

a b c d

(49)

49

amDSB-FC(t)

C

y(t)

Litar Kuasa Dua y =x2

Penapis Lulus Rendah

x(t)

                         

A A m t m t A m t A m t kos t

t kos t m A t m A t kos t m t m t kos A A t kos t m A t kos t m t kos A t kos t m A t am t x c c c c c c c c c c c c c c c c c c c FC DSB

2 ] ) ( ) ( 5 . 0 5 . 0 [ ) ( 5 . 0 ) ( 5 . 0 2 ) ( ) ( 2 ) ( 5 . 0 ) ( 5 . 0 2 5 . 0 5 . 0 ) ( 2 ) ( } )] ( {[ )} ( { ) ( 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2                   DC component Information signal Harmonic signal

)

(

)

(

t

A

m

t

y

c

After passing through LPF the output is the required information signal ie:

(ii) Square Detector (Pengesan Kuasa Dua)

2.8.1 Demodulation AM

DSB-FC

(50)

2.9 Demodulation AM

DSB-SC

Due to the envelope modulated signal is not in the

same form of modulating signal,

m(t)

so the

envelope detection technique could not be used.

The detection of modulated signal could be done

using

pengesan segerak (

synchronous detector

)

also

(51)

51

2.9.1 Pengesan Segerak (Synchronous)

Litar segerak, memerlukan sebuah penjana pembawa tempatan.

Di mana isyarat penjana ini perlu disegerakkan dengan isyarat pembawa maklumat yang digunakan pada pemancar.

)

(

cos

)

(

)

cos(

)

cos(

)

(

)

cos(

)

(

)

(

2

t

t

m

t

t

t

m

t

t

am

t

x

c

c c

c SC

DSB

X

Penapis

Lulus Rendah

Penjana Pembawa Tempatan (LO)

c(t)=cos(ωct)

amDSB-SC(t) x(t) y(t)

Multiplier

Analisa matematik :

(52)

Analisa Matematik

Keluaran pendarab adalah

Identiti trigonometri

Maka

Selepas melalui LPF isyarat keluaran adalah isyarat maklumat asal

1

(

2

)

2

1

)

(

2

u

kos

u

kos

)

2

(

)

(

2

1

)

(

2

1

)

2

(

1

)

(

2

1

)

(

t

kos

t

m

t

m

t

kos

t

m

t

x

c c

)

(

2

1

)

(

t

m

t

y

)

(

)

(

)

(

t

m

t

kos

2

t

(53)

53

2.9.1.1 Kesan Ralat Frekuensi Pembawa

Masalah ini akan menyebabkan herotan berlaku di dalam proses penyahmodulatan isyarat amDSB-SC.

X

Penapis

Lulus Rendah

Penjana Pembawa Tempatan (LO)

c(t)=kos[(ωc+Δω)t]

amDSB-SC(t) x(t) y(t)

Multiplier

(54)

Analisa Matematik Ralat Frekuensi

Keluaran pendarab adalah

Identiti trigonometri :

Maka

Dengan melalukan isyarat x(t) ke dalam penapis lulus rendah, isyarat maklumat dapat diperolehi semula.

(

)

(

)

2

1

)

(

)

(

A

kos

B

kos

A

B

kos

A

B

kos

)

2

(

)

(

2

1

)

(

)

(

2

1

)

2

(

)

(

)

(

2

1

)

(

t

kos

t

m

kos

t

m

t

kos

kos

t

m

t

x

c c

)

(

)

(

2

1

)

(

t

m

t

kos

y

]

)

[(

)]

(

)

(

[

)

(

t

m

t

kos

t

kos

t

(55)

55

Implikasi Ralat Fasa Pembawa

Kesan ralat fasa ini akan mewujudkan herotan, oleh yang

demikian penalaan isyarat pembawa tempatan perlulah tetap.

Keluaran pada LPF mempunyai faktor kos(φ).

Di mana jika

) ( )

( 2 1 )

(t m t kos

y

0

2

) ( 2 1 )

(t m t y

0

)

(

t

y

Untuk memastikan pengayun tempatan (LO) ditetapkan fasanya keada isyarat masukan supaya keluarannya isyarat maklumat/asal maksima, Gelung Costas / PLL digunakan.

(56)

2.9.2 Penyahmodulatan AM

SSBSC

X

Penapis

Lulus Rendah

vc(t)

amSSBSC(t) x(t) vo(t)

Multiplier

2.9.2.1 Pengesan Segerak SSBSC

Analisa Matematik :

 

asal

isyarat

komponen

cos

2

1

LPF,

Selepas

cos

2

cos

2

1

cos

cos

1

bersamaan

amplitud

dengan

cos

t

ω

v

t

ω

t

ω

ω

t

ω

t

ω

ω

v

v

v

t

ω

ω

v

S LPF

S s

c c

s c

c SSBSC

o

s c

References

Related documents

SENSUS COMPANY (GERMANY) EXPORT OF METERS WATER MATERS HEADING 90.28 COUNTRIES MÉXICO ARGENTINA SLOVAK REPUBLIC MAIN EXPORT MARKETS. COUNTRIES MÉXICO ARGENTINA SLOVAK

NAPHSIS provides national leadership and advocacy on behalf of its members to ensure the quality, security, confidentiality and utility of vital records and health statistics, as

Ginkgo biloba extract supplementation in our study significantly diminished DNA damage caused by NDEA as indicated by a significant decrease in the comet assay parameters (TL,% DNA

In order to test whether the extent of voluntary disclosure of FL information among UK non-financial companies is significantly associated with variables

“Books of To-day: Legendary Lyrics by George Allen Kingston, and A New Canadian Anthology edited by Alan Creighton and Hilda M.. “Books of To-day: Magnificent Obsession by

The Building Committee shall have the following responsibilities, in addition to the duties that may, from time to time, fall within its jurisdiction, after approval of the

We have reached a stage in the campus environmental movement where agreement upon the broad goal of becoming a sustainable campus is widespread. How many campus presidents or board

In another study examining language content in Turkish patients in acute phase psychosis, using computer content analytic procedure, it was found that the speech content of