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- Fundamentals of digital signal
- Fundamentals of digital signal
- Dsp laboratory: time and frequency
The frequency-domain Waveform Chart will display the magnitude response in the range 0 (DC) to Fs /2.
- With the CD Audio input selected, run the program and examine
the spectrum of the music signal. Now change the input tomicrophone and examine the frequency spectrum of your voice as
well. Stop the program when done.
- The frequency spectrum is always displayed from 0 Hz. (DC) to
Fs/2. For voice signals, which have most of the energy<2000
Hz, the voice frequencies only cover a small portion of the display(assuming Fs = 48000 Hz.). To get a more detailed view of your
voice spectrum, change the sampling frequency to 8000 Hz. (makingsure to change both the Anaog Input and Analog Output nodes). Now,
your voice spectrum will cover a wider range of the display. Runthe VI.
- Speak into the microphone using a single held-out note (like
AHHHHHHHHHH or EEEEEEEEEEE). Examine both the time-domain andfrequency domain displays. If necessary, change the Chart History
Length so that about 4-5 periods of the signal are on thetime-domain display. Because a note like this is periodic, you
should notice a fairly steady time signal as well as a well-definedfrequency spectrum consisting of large peaks at your note’s
fundamental frequency and its harmonics. Change the frequency(pitch) of this note and examine how it affects the frequency
spectrum. Also try experimenting with various notes. Once you get afairly steady display in both the time- and frequency-domains, hold
your note and stop the program to freeze the displays. You can nowzoom into various parts of the spectrum to examine it
closely.
Answer these questions
From your time-domain plot, determine the fundamental period of your voice note (AHHHHHH, EEEEEEEE, etc.). Remember that the time base is in milliseconds. Measure the period as accurately as possible and record the period below. From your frequency-domain plot, determine the frequency of the 1st harmonic (fundamental frequency) and record it below as well. Do these results concur with each other? Why or why not?
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- We are now ready to use the third input – the function
generator. Begin by going to the Surround Mixer and changing theactive playback device to Line-in. Make sure that the volume is set
to 100%. Locate the black cable (with an RCA-type connector on theend) coming out of the computer – this cable is connected to the
Line-in port of the sound card. Connect the other end of this cableto the Func Out port of the function generator using the RCA to BNC
adapter. Turn on the function generator and set the followingparameters. You need to press EXEC after setting each one.
- FREQ: 400 Hz
- AMPL: 0.2 V
- OFST: 0 V (DC offset)
- MODE: CONTINUOUS (use the keys to cycle through the
options if needed)
- FUNC: SINE (use the keys to cycle through the options if
needed)
- After all of these are set, press the OUT/ON button (bottom middle) and use the keys to select OUTPUT ON. If you now run your VI again, you should hear a 400 Hz tone. You should also see the sine wave in the time- and frequency-domain Charts on your Front Panel. Use the Zoom tools to view the signals in detail.
Answer these questions
From the time-domain plot, measure the period of the sine wave and record it below. From the frequency-domain plot, measure the frequency of the sine wave and record it as well. Discuss whether these results concur with each other.
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- Now change the amplitude of the sine wave to 1 V and observe the resulting frequency spectrum. Is this expected?
Answer these questions
- When you’re done, stop the program and save the VI.
Source:
OpenStax, Fundamentals of digital signal processing lab. OpenStax CNX. Jan 03, 2006 Download for free at http://cnx.org/content/col10303/1.5
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