Ecet 345 Wk 4 I Lab Essay

1588 words - 7 pages

DeVry University
ECET345 Signals and Systems
Name of Student ___________________________
Class Room Activity #2
Experimental observation of aliasing

Objective of the lab experiment:
The objective of this experiment is to observe the effect of aliasing in a discrete sampling system and to measure how aliasing alters the frequency of an input signal that is beyond the Nyquist limit. This lab can also be used to quantitatively and qualitatively observe the effect of an antialiasing filter, even though we do not do so in this exercise.
Equipment list:
Tower system with ADCDAC board
Function generator capable of producing any desired frequency sinusoid up to 5 KHz
...view middle of the document...

Here just unfiltered Straight-through output
Channel B
Not used
Channel C
Not used
Channel D
Not used

Step 2
Download “” from the course shell onto the desktop of your computer and unzip the project to the desktop. Double click on “Lab2_Straight_Through_982Hz_Sampling.mcp” to open the project with CodeWarrior, and then load it into the Tower system.
Step 3
Set up the function generator with the following specifications.
Signal Generator Properties
50 Hz
1 Vpp
Signal Type
Sine wave
Check the output of the signal generator by connecting it to an oscilloscope. Ensure that the frequency and amplitude are accurate to these given values.
(a) Connect an oscilloscope to channel A of the LTC 2620 DAC converter and using the measurement functions measure the amplitude and frequency of the DAC output. Enter them below. Be sure to state the units of measurements.

Peak-to-peak amplitude of the output signal = 1.02Vpp
Frequency of the output signal = 51.4Hz
(b) Now set the output frequency to 1032 Hz. Keep amplitude at the same level as previously configured. Connect an oscilloscope to the output of the DAC converter and measure the amplitude and frequency of the DAC output using the measurement functions. Enter them below. Be sure to state the units of measurements.

Peak-to-peak amplitude of the output signal = 1.02Vpp
Frequency of the output signal = 108.3Hz
(c) Now set the output frequency to 4960 Hz. Keep amplitude at the same level. Connect an oscilloscope to the output of the DAC converter and measure the amplitude and frequency of the DAC output using the measurement functions. Enter them below. Be sure to state the units of measurements.

Peak-to-peak amplitude of the output signal = 1.04Vpp
Frequency of the output signal = 57.4Hz
Now answer the questions below.
1. When no analog filter is used at the input, why does an input of 1032 and 4960 Hz produce an output frequency of nearly 50 Hz? Keep in mind that the sampling frequency of the filter is 982 Hz. Justify your answer using the necessary formula.
the frequencies produced by sampling a sinusoid are given by
fout=k*982±1032 = -50Hz where k=1
fout=k*982±4960 = -50Hz where k=5

2. What are some of the uses of ADC undersampling (i.e., sampling at a rate lower than Nyquist rate)? Research this topic using the Internet, but state the answer in your own words.

this method id called undersampling, bandpass sampling, or super-Nyquist sampling.
It can be used to recover a signal that is riding on an even higher frequency signal, it used in video, wireless receivers, and Radar as well as inferred systems.

3. Suppose we had connected at the input to channel 0 a circuit of the type that attenuates all frequencies above 50 Hz at a rate of 6 dB/octave. What will we then see in the output when we apply 4960 Hz at the input?

6db/octave = 20db per decade

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