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Communication System Analysis - Laboratory Exercise 3 | EE 3550, Lab Reports of Electrical and Electronics Engineering

Material Type: Lab; Professor: Bolding; Class: Communication System Analysis; Subject: Electrical Engineering; University: Seattle Pacific University; Term: Unknown 1989;

Typology: Lab Reports

Pre 2010

Uploaded on 08/16/2009

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EE3550 - Communications Systems Analysis
Laboratory Exercise 3
This assignment may be done individually or in groups of two or three.
Partners may turn in a combined report and will receive the same grade.
In this exercise, you will use the TIMS system to generate amplitude-modulated signals
and then demodulate them.
The goals of the laboratory exercise are:
1. To observe the process of amplitude modulation and demodulation
2. To observe the bandwidth of a DSBSC and AM signal
3. To understand the concept of modulation factor and over-modulation
To turn in
Certain tasks in the labs involve measurements or have questions to answer. Please
answer each of these in your lab report. Note that all required questions, observations,
and sketches are underlined. A quality report will include neatly organized answers to
questions and sketches in a readable document.
Amplitude Modulation
Modulation is the process of shifting a signal’s center frequency to a different value.
Modulation allows an engineer to move a baseband signal to any desired portion of the
RF spectrum. For instance, audio data in the range of 0-20KHz may be moved to a more
useful band such as 100.010 – 100.030 MHz. There are many reasons for modulation, but
the most basic is to move RF signals to different portions of the spectrum to allow many
users to share the airwaves.
The simplest form of modulation is amplitude modulation (AM). In AM, a source signal
is used to modulate a carrier frequency in such a way that the amplitude of the carrier
changes in response to the amplitude of the source signal. This is most easily seen
visually, as in Figure 1. Mathematically, AM results by multiplying the signal by the
carrier. For instance:
signal A cos(xt) and carrier B cos(yt)
product = AB cos(xt) cos(yt)
= AB/2 cos((x+y)t) + AB/2 cos((x-y)t)
Thus, the result of multiplying these waves is a waveform with ½ power at the sum and
difference of the frequencies. Now, assume that the souce wave is a wave with frequency
5kHz and the carrier is a wave with frequency 100KHz. Multiplying these together gives
a wave with frequency components at 95kHz and 105KHz – we have moved the 5kHz
wave to a higher frequency. Notice that we have energy in two bands – these are called
the lower and upper sidebands. Also notice that there isn’t any energy at the carrier
frequency (100KHz). Thus, this modulation is called Dual Sideband Suppressed Carrier,
or DSBSC. It is commonly diagrammed as in Figure 2.
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EE3550 - Communications Systems Analysis

Laboratory Exercise 3

This assignment may be done individually or in groups of two or three. Partners may turn in a combined report and will receive the same grade. In this exercise, you will use the TIMS system to generate amplitude-modulated signals and then demodulate them. The goals of the laboratory exercise are:

  1. To observe the process of amplitude modulation and demodulation
  2. To observe the bandwidth of a DSBSC and AM signal
  3. To understand the concept of modulation factor and over-modulation

To turn in

Certain tasks in the labs involve measurements or have questions to answer. Please answer each of these in your lab report. Note that all required questions, observations, and sketches are underlined. A quality report will include neatly organized answers to questions and sketches in a readable document.

Amplitude Modulation

Modulation is the process of shifting a signal’s center frequency to a different value. Modulation allows an engineer to move a baseband signal to any desired portion of the RF spectrum. For instance, audio data in the range of 0-20KHz may be moved to a more useful band such as 100.010 – 100.030 MHz. There are many reasons for modulation, but the most basic is to move RF signals to different portions of the spectrum to allow many users to share the airwaves. The simplest form of modulation is amplitude modulation (AM). In AM, a source signal is used to modulate a carrier frequency in such a way that the amplitude of the carrier changes in response to the amplitude of the source signal. This is most easily seen visually, as in Figure 1. Mathematically, AM results by multiplying the signal by the carrier. For instance: signal A cos(xt) and carrier B cos(yt) product = AB cos(xt) cos(yt) = AB/2 cos((x+y)t) + AB/2 cos((x-y)t) Thus, the result of multiplying these waves is a waveform with ½ power at the sum and difference of the frequencies. Now, assume that the souce wave is a wave with frequency 5kHz and the carrier is a wave with frequency 100KHz. Multiplying these together gives a wave with frequency components at 95kHz and 105KHz – we have moved the 5kHz wave to a higher frequency. Notice that we have energy in two bands – these are called the lower and upper sidebands. Also notice that there isn’t any energy at the carrier frequency (100KHz). Thus, this modulation is called Dual Sideband Suppressed Carrier, or DSBSC. It is commonly diagrammed as in Figure 2.

Figure 1 : Amplitude Modulation of the carrier (top) by a signal (middle). Figure 2 : Generation of DSBSC AM To begin this experiment, you will build a DSBSC system by the simple multiplication of two signals. Although only two modules are needed immediately, you will need five TIMS modules for the complete experiment – please plug them into the TIMS unit in this order:  Audio oscillator – Generates an adjustable-frequency clock in the audio range.  Adder – Adds two signals together.  Multiplier – Multiplies two signals together.  Utilities Module – Contains several useful parts including a rectifier. x ( t ) cos 2  fc t

Figure 4 : DSBSC signal.

  1. You are most likely to see “solid” patterns for the DSBSC signal, rather than seeing the waves of the carrier. This is because in the overlapping samples the scope is showing, the carrier isn’t aligned the same for each sweep. If you would like to see a single waveform, press “Run/Stop” to stop the scope. You should see an image that shows the carrier being modulated by the signal.
  2. Compare what you see in your DSBSC signal with the “standard” AM signal of Figure 1. Report on similarities and differences. Pay careful attention to how the envelope of the modulated signal corresponds with the source signal.
  3. Now, analyze the bands used by this signal. Connect the DSBSC signal to the spectrum analyzer – you may use a “tee” connector for this. Notice that when you connect the signal to the spectrum analyzer, its amplitude is significantly reduced on the oscilloscope. Remember to disconnect the signal from the spectrum analyzer before trying to observe it on the scope. o Adjust the spectrum analyzer to show an appropriate range (your center frequency is 100KHz, and your signal is in the range 1-2kHz). Don’t pick too narrow of a span – make sure you can see the entire spectrum of the waveform. A span of 10 kHz is a good start. o Adjust the frequency of the audio oscillator up and down and observe the results. Report what you see. o Adjust the audio oscillator to 1kHz. o Sketch the spectrum analysis display that you see for your report. o Measure and report the 3dB bandwidth of the signal (the width of the frequency band that includes signals within 3dB of the peak power of the signal). Make sure to measure the full bandwidth of the waveform between the outer 3dB crossings. o Compare this bandwidth to the expected bandwidth for a DSBSC signal.

Part 2 – Standard (DSB) Amplitude Modulation

In Part 1, you probably noticed that DSBSC waveforms don’t look quite like the AM example of Figure 1. Most notably, in standard DSB AM, the signal can be recovered by looking at only the top edge of the envelope, while this is not the case for DSBSC. In this part, you will modify your setup to produce standard AM and then demodulate the signal using a rectifier and low-pass filter.

Mathematically, dual-sideband AM (without a suppressed carrier) isn’t much different than DSBSC. The only difference is that the signal is offset by a constant value (1), and the signal is multiplied by a factor of m. ‘m’ is called the modulation factor. signal A cos(xt) and carrier B cos(yt) DSB = A ( 1 + m cos ( xt)) Bcos(yt) = AB cos(yt) + ABm/2 cos((x+y)t) + ABm/2 cos((x-y)t) Notice that, other than the factor of ‘m’, this is essentially the same as DSBSC with the addition of a term at the carrier frequency. A symbolic diagram for DSB AM is shown in Figure 5. Note that the adder has adjustable gain controls on both of its inputs. For this diagram to correspond to the equations shown above, the G gain control should be set to the value m (modulation index), and the g gain control should be set so that the DC offset has unity magnitude. Figure 5 : DSB AM Generation

Figure 7 : DSB AM envelopes with different modulation indices.

  1. Visually compare the modulated signal with the source signal. Under which conditions do you expect it to be easy to recover the source signal from the envelope of the modulated signal? What do you believe the ideal condition for the modulation index (m) is? Hint – you want to be able to recover the source signal, but with the minimum amount of power needed.
  2. Use the spectrum analyzer to determine the bandwidth of this signal (as in part 1, step 8). Vary the modulation index and sketch the spectrum of the signal for m<1, m=1, and m>1. Compare this with the DSBSC spectrum from part 1.

Part 3 – Envelope Recovery

It should be clear from the waveforms you observed in Part 2 that the envelope of an AM signal contains all of the information of the original signal. However, we still need to do a little more processing to actually reproduce the original signal. You should easily be able to tell that the top edge of the envelope is what we are interested in – we need to eliminate the bottom portion (below 0V) and then smooth out the remaining signal to recover the original signal. Try to think of simple tools to accomplish those two tasks before reading further. If your thought process led you to a system with a rectifier (to isolate only the positive portion of the wave) and a low-pass filter (to smooth out the waveform by filtering out the carrier frequency), then you did great. If not, hang in there – you’ll see it in action. Either way, the process is illustrated in Figure 8.

Figure 8 : AM envelope recovery.

  1. If you haven’t already done so, add a Utilities Module and Tunable Low Pass Filter to the TIMS unit.
  2. Run the modulated AM signal (output of Multiplier) through the Rectifier of the Utilities module and then through the Tunable LPF. See Figure 9. Figure 9 : Setup for DSB AM and Envelope Recovery
  3. Observe and sketch the signal at the output of the rectifier for m<1, m=1, and m>1.
  4. Adjust the gain on the DC offset until m=1. Now, observe the output of the LPF as you adjust the tuning of the LPF. Adjust the tuning until you see a recovered signal that appears similar (but probably not exactly the same) to the source signal. Sketch the source signal and the recovered signal and comment on how they are different.
  5. Adjust the gain on the DC offset until m>1. Sketch the recovered signal (output of LPF) and comment on any differences between the source and recovered signal.

Part 4 – Audio

Modulating pure sine waves is of some interest to engineering nerds, but doesn’t rate very high with the rest of the world. On the other hand, modulating speech or music so it