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Experiment 2 AM Modulation and Demodulation

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<strong>Experiment</strong> 2<br />

<strong>AM</strong> <strong>Modulation</strong> <strong>and</strong> <strong>Demodulation</strong><br />

2.1 Objective<br />

1. To evaluate <strong>and</strong> analyze an implementation for an <strong>AM</strong> transmitter.<br />

2. To test an implementation of the superheterodyne receiver <strong>and</strong> envelope<br />

detector.<br />

2.2 Basic Information<br />

An <strong>AM</strong> signal is generated by forcing the envelope of a high frequency<br />

sinusoid, carrier, to vary in proportion to the desired low frequency message signal<br />

f(t). The resulting <strong>AM</strong> spectrum is concentrated in the vicinity of the carrier<br />

frequency. A typical amplitude modulated carrier has the time domain form:<br />

v( t )<br />

[ mf ( t )] cos( t ) g( t )cos( t )<br />

= A 1+<br />

ω C =<br />

Where A is the carrier amplitude, m is the modulation index, ω c is the carrier<br />

frequency, <strong>and</strong> g(t) is the envelope function of the <strong>AM</strong> signal. The signal f(t) must<br />

satisfy the condition |f(t)|≤1.<br />

ωC<br />

Figure 2.1 (a) the message signal, (b) the carrier signal, (c) <strong>AM</strong> (d) Over modulation<br />

If the envelope g(t) ≥ 0, i.e. m ≤ 1, full carrier <strong>AM</strong> will results. In this case the<br />

modulation index m can be found by the formula (see figure 2.1-c)<br />

C<br />

m =<br />

C<br />

−<br />

+<br />

In case of m>1 over modulation results as in figure 2.1-d. Obviously in this<br />

case the envelope no longer matches the message. <strong>Demodulation</strong> (separating the<br />

message from the carrier) in this case is not possible.<br />

B<br />

B<br />

1


Measurement of the Envelope (The Trapezoidal Pattern)<br />

The Lessajous pattern of v(t) vs. Af(t) for an <strong>AM</strong> signal formed on the<br />

oscilloscope yields a trapezoidal pattern as in figure 2.3-a.<br />

(a)<br />

(b)<br />

Figure 2.2. The trapezoidal pattern for (a) a normal <strong>AM</strong> signal <strong>and</strong> (b) <strong>AM</strong> with<br />

envelope nonlinearity.<br />

Connecting the message to channel 1 <strong>and</strong> the modulated signal to channel 2,<br />

<strong>and</strong> switching the oscilloscope to its XY mode will generate this pattern (figure 2.2).<br />

The resulting trapezoid can be used for several measurements:<br />

1- To measure the modulation index:<br />

( D − E) ( D E)<br />

m =<br />

+<br />

2- To detect any distortion in the envelope of the signal, see figure 2.2-b. This<br />

distortion is exhibited as a departure from straight lines for the upper <strong>and</strong> lower edges<br />

of the trapezoid.<br />

<strong>Experiment</strong> <strong>AM</strong> modulator/transmitter circuit.<br />

Figure 2.4 Block diagram of experiment <strong>AM</strong> modulator.<br />

The <strong>AM</strong> modulator/transmitter (figure 2.4) consists of; an audio tone<br />

generator; an audio amplifier; a stable RF oscillator; a mixer; <strong>and</strong> an RF amplifier<br />

2


whose output is connected to the transmitter antenna. The <strong>AM</strong> transmitter used in this<br />

experiment is prebuilt on a PCB. The purpose of the experiment is to observe the<br />

main signals <strong>and</strong> operations carried on them in a system approach.<br />

The mixer in the experimental circuit is the analog multiplier IC (MC1496).<br />

Internally, the IC is based on the Gilbert Cell principle. Figure 2.5 shows a simplified<br />

circuit diagram for operating the IC.<br />

Figure 2.5 <strong>AM</strong> modulation using the MC1496 IC.<br />

The carrier is fed to pin 10 <strong>and</strong> the message (audio) to pin 1. The <strong>Modulation</strong><br />

Level potentiometer adjusts the modulation index. The output is available at pins 6<br />

<strong>and</strong> 12. The Carrier Suppress controls carrier suppression. Setting at the either end<br />

position yields full carrier <strong>AM</strong>, while adjusting to the center yields suppressed carrier<br />

<strong>AM</strong>.<br />

The complete experiment circuit is in figure 2.9. It consists of:<br />

a) Crystal oscillator. Amplifier A with its associated circuit is used to generate<br />

the carrier, 1MHz (TP4), with the output taken from C6. This is fed to the<br />

carrier input at pin 10 of the analog multiplier IC.<br />

b) Audio generator <strong>and</strong> amplifier. The audio sine wave signal is generated from<br />

an 8038 waveform generator IC. This signal is fed to a pot to provide control<br />

for the amplitude, i.e. the modulation index, before being amplified by the<br />

amplifier B. The final audio output (TP2) is fed to pins 1 & 4 of the<br />

modulator/multiplier.<br />

c) The balance control, R13 potentiometer, is used to cancel the carrier out.<br />

d) The amplifier C is used to amplify the audio signal for generating the<br />

trapezoidal pattern. This is needed for some oscilloscopes.<br />

e) The output of the mixer IC is taken between pins 12 <strong>and</strong> 6 into a parallel RLC<br />

tank tuned to 1MHz. Then it is fed to transistor amplifier Q1, which drives the<br />

antenna.<br />

The output of this circuit is in the commercial <strong>AM</strong> b<strong>and</strong> <strong>and</strong> can be received<br />

by common <strong>AM</strong> radio receivers.<br />

3


<strong>AM</strong> <strong>Demodulation</strong><br />

An <strong>AM</strong> signal can be demodulated using either synchronous or asynchronous<br />

detection methods. While synchronous methods are more precise <strong>and</strong> offer<br />

exceptional results, asynchronous methods are simple <strong>and</strong> economical. Asynchronous,<br />

also known as envelope detectors, can only be used for full carrier <strong>AM</strong>. A simple<br />

envelope detector circuit <strong>and</strong> the signals involved are shown in figure 2.6.<br />

Figure 2.6 The envelope detector <strong>and</strong> its signals.<br />

Assuming that the amplitude of the input signal v i (t) is large enough to turn the<br />

diode on an off, the circuit in figure 2.6 can be used to demodulate <strong>AM</strong> signals. The<br />

selection of the capacitor C <strong>and</strong> resistor R should satisfy the formula<br />

1<br />

RC = ω c >> ω m<br />

ω mω<br />

c<br />

where ω m is the maximum signal frequency <strong>and</strong> ω c is the carrier frequency. The<br />

capacitor C c is used to block the DC component of the output.<br />

The Superheterodyne Receiver<br />

For the detection of commercial <strong>AM</strong>, more than a simple envelope detector is<br />

required. The desired radio frequency (RF) signal needs to be amplified while other<br />

signals need to be rejected before subjecting the signal to the envelope detector. This<br />

can be done in a tuned RF amplifier. However, when it is desirable to tune to more<br />

than one RF signal, the design of the tuned RF amplifier becomes extremely difficult<br />

<strong>and</strong> expensive. A simpler approach is to design the amplifier to a fixed intermediate<br />

frequency (IF), <strong>and</strong> to shift the desired RF signal down or up to that IF. Figure 2.7<br />

shows the block diagram for a superheterodyne receiver.<br />

Figure 2.7 Block diagram of a superheterodyne receiver.<br />

4


The antenna feeds the RF waves into the first passive b<strong>and</strong>pass filter, which<br />

rejects signals outside the desired b<strong>and</strong>; afterwards a wideb<strong>and</strong> RF amplifier is used to<br />

amplify the signal. The output of the RF amplifier is filtered again to reduce the noise<br />

power. A local oscillator (LO) generates a signal with frequency above or below the<br />

desired <strong>AM</strong> signal by a fixed amount (f IF ). In commercial <strong>AM</strong> receivers this<br />

frequency is usually 455kHz above the desired <strong>AM</strong> signal. This LO signal is mixed<br />

with the <strong>AM</strong> signal producing four signals, the incoming RF, the LO signal, the sum<br />

of the RF <strong>and</strong> LO signals, <strong>and</strong> the difference between the LO <strong>and</strong> the RF signal (the<br />

IF signal). The following BPF is centered at the IF frequency, it is used to reject all<br />

but the IF signal. Following that will be one or more tuned IF amplifiers to increase<br />

the IF signal power to drive the diode in the envelope detector into conduction. After<br />

this comes the envelope detector followed by a baseb<strong>and</strong> amplifier <strong>and</strong> onto the<br />

speaker in the case of audio signals.<br />

The superheterodyne receiver used in this experiment is prebuilt on a board. It<br />

is designed to receive commercial <strong>AM</strong> broadcast. The IF frequency is 455kHz, while<br />

the tuning range is from 1Mhz to 2.06Mhz.The purpose of the experiment is to<br />

observe the main signals <strong>and</strong> operations carried on them in a system approach. Figure<br />

3.3 shows the complete schematic diagram of the experimental <strong>AM</strong> receiver.<br />

Automatic Gain Control (AGC)<br />

To prevent overloading of the IF amplifiers when a strong signal is received<br />

some form of gain control is necessary. By passing the received signal through a long<br />

time constant LPF (~1s) an average of the recived signal power can be formed. This<br />

control voltage is applied to the base of the amplifier transistors in the IF stages <strong>and</strong><br />

possibly the RF stage thereby changing their gain to suit the received signal power.<br />

2.3 Equipment<br />

<strong>AM</strong>/DSB Transmitter Insertion Panel ( SIP350A )<br />

<strong>AM</strong> Radio Receiver Panel ( SIP327B )<br />

Power Supply Base ( S300PSB )<br />

Dual-Trace Oscilloscope<br />

Digital Multimeter<br />

Function Generator<br />

2.4 Procedure<br />

Part A- <strong>AM</strong> Transmitter<br />

1. Make sure +15V knobs on the power supply panel base are reduced to<br />

minimum.<br />

2. Switch on the power supply panel <strong>and</strong> adjust the voltage knobs to +15V dc.<br />

3. Connect ch1 of the oscilloscope to TP2 on the transmitter board, observe <strong>and</strong><br />

record the message signal. If no signal is present, increase the modulation<br />

level control sli ghtly until the signal is visible.<br />

5


Amplitude (V Pk-Pk )<br />

Frequency (kHz)<br />

4. Connect ch2 to TP4, observe <strong>and</strong> record the carrier signal. What are the<br />

amplitude <strong>and</strong> frequency of the carrier<br />

Amplitude (V Pk-Pk )<br />

Frequency (kHz)<br />

5. Turn the carrier suppress knob fully clockwise ( <strong>AM</strong> setting ).<br />

6. Connect ch2 to TP8 to observe the o/p of the LM1496. Use the message signal<br />

on ch1 (TP2) as the trigger source. Make sure there is no overmodulation.<br />

Record both signals on the same graph.<br />

7. Calculate the modulation index.<br />

8.<br />

<strong>Modulation</strong> Index (m)<br />

Switch the oscilloscope to XY mode. Record the trapezoidal pattern. Find the<br />

modulation index from the trapezoidal pattern, <strong>and</strong> compare it with step 7. Is<br />

there distortion in the modulation process<br />

<strong>Modulation</strong> Index (m)<br />

………………………………………………………………………………………<br />

………………………………………………………………………………………<br />

………………………………………………………………………………………<br />

9. Use the trapezoidal pattern <strong>and</strong> change the modulation level to get 100%<br />

modulation.<br />

10. Remove the oscilloscope XY mode <strong>and</strong> record the resulting <strong>AM</strong> waveform.<br />

6


11. Change the message amplitude by varying the modulation level, <strong>and</strong> find the<br />

modulation index for the message amplitudes (0, 0.5, 1.0, 1.5V PP , <strong>and</strong> 100%<br />

modulation). Plot a graph of message amplitude vs. modulation index.<br />

V Message Pk-Pk 0 0.5 1.0 1 .5<br />

Mod. Index 100%<br />

12. What does the graph shape mean<br />

………………………………………………………………………………………<br />

………………………………………………………………………………………<br />

7


Part C- <strong>AM</strong> Receiver<br />

1. Connect CH2 of the oscilloscope to TP22 on the <strong>AM</strong> receiver board.<br />

2. Switch on the speaker in the power supply base, then tune the receiver to the<br />

best signal reception (largest amplitude on CH2 <strong>and</strong> clearest sound).<br />

3. Record the receiver’s local oscillator (LO) signal at TP5.<br />

Amplitude (V Pk-Pk )<br />

Frequency (kHz)<br />

4. Calculate the intermediate frequency f IF = f LO - f c .<br />

f IF (kHz)<br />

5. Observe the signal at TP6, what does this signal represent<br />

………………………………………………………………………………………<br />

………………………………………………………………………………………<br />

………………………………………………………………………………………<br />

6. Record the 1 st IF stage o/p at TP9 by exp<strong>and</strong>ing the horizontal display of the<br />

CRO. Measure f IF .<br />

7. Record the 2 nd IF stage o/p at TP12, find the gain of the second IF stage in dB.<br />

Gain (dB)<br />

8. Connect the oscilloscope to the envelope detector output at TP14. Record the<br />

o/p of the envelope detector <strong>and</strong> compare with the original message on the<br />

same graph.<br />

8


9. Measure f m <strong>and</strong> compare with the original message. Comment on the shape of<br />

the received message.<br />

f m (kHz)<br />

………………………………………………………………………………………<br />

………………………………………………………………………………………<br />

………………………………………………………………………………………<br />

Part D- AGC<br />

1. Connect the multimeter to TP 16 <strong>and</strong> set it to DC coupling.<br />

2. Record the AGC voltage.<br />

AGC (V)<br />

3. Touch the antenna with your finger. Describe what happens to the shape of the<br />

received signal.<br />

………………………………………………………………………………………<br />

………………………………………………………………………………………<br />

………………………………………………………………………………………<br />

4. Record the AGC voltage while touching the antenna. And explain the change<br />

in the AGC voltage.<br />

AGC (V)<br />

………………………………………………………………………………………<br />

………………………………………………………………………………………<br />

………………………………………………………………………………………<br />

9

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