3552c LAB1

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University of Central Florida *

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3552

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Electrical Engineering

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Apr 3, 2024

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docx

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5

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Experiment 1: Spectrum Analysis EEL 3552C: Signal Analysis and Analogue Communication Professor Ismail Alkhouri Joshua Barshay 1/28/23
1.0 Objective: The objective of this experiment is to analyze the spectrum of a simple signal. 2.0 Equipment: This experiment uses an oscilloscope to analyzed the signal created by a function generator. A USB flash drive was also listed in the equipment for this experiment, but since the lab manual was released two hours before the lab, 23 minutes before the lecture portion for this lab, and after I was in transit to the lecture section for this class a USB flash drive was unable to be used. 3.0 Pre-Lab: For question “a” the amplitude of a value in dBV can be given by the equation dBV = 20log ( Vi Vr ) where (in this case) Vr is a reference value of 1V RMS. The amplitude given in this problem is in peak-to-peak so to plug it into the dBV equation it must be converted to RMS voltage first. To convert from peak-to-peak to RMS the value must be multiplied by 1 over 2 raised to the three halves power. Once these steps are performed the value is found to be -3.01 dBV. For question “b” these steps were reversed. The value of -10dBV was divided by 20 and then used as the power of ten giving approximately .316. Finally this value was multiplied by two and root two to find an amplitude value of .894 V. 4.0 Experiment: For this experiment no actual circuit was used as the function generator was directly connected to the input of the oscilloscope using a BNC-to-BNC cable. After this the oscilloscope was configured to maximum sample rate and the function generator was configured to a 4kHz sine wave with a 2Vpp amplitude. After scaling the oscilloscope the following input was displayed.
After the time domain waveform was confirmed, the oscilloscope’s FFT (fast Fourier transform) function was performed to view the signal in the frequency domain. The FFT’s parameters were configured to a frequency range of 8kHz with a center frequency of 4kHz and an output in dBV. The following frequency domain graph was created. After obtaining this graph in the frequency domain the cursors were used to measure when the maximum amplitude occurred in the frequency spectrum and the value of that amplitude. It was measure to be approximately -3.68dBV at 4kHz. This is slightly greater than the calculated value of -3.01dBV in preparation. This is probably due to some noise generated naturally by the function generator and oscilloscope and is also likely to be partially due to imprecise measurements as the cursors themselves have a certain level of inaccuracy and can be hard to obtain a fully precise reading with. The function generator was then set to 2kHz instead of 4 and the following frequency domain graph was obtained.
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