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