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Perry C. Hanavan, Au.D. Audiologist
Sound Audiology Perry C. Hanavan, Au.D. Audiologist
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Sound Vibration Perception
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Propagation of Sound Condensations ____________
Example of molecular motion Components of sinusoid Transverse wave simulation Applet: Square, triangle, simulation
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Components of Sound Physical Psychological
Intensity Loudness Frequency ________ Duration Length
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Intensity Decibel Unit of measure of intensity dB = 10logR (R=ratio)
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Problem Human hearing intensity dynamic range is quite broad
1 Softest sound 1,000,000,000,000 Loudest sound
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Intensity Dynamic Range
1 10 100 1000 10000 100000
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Honey I Shrunk the Kids 1,3,5 or 1, 4, 8, 12 etc. reduces dynamic range somewhat 1, 10, 100, 1000 shrinks a bit more Yet, dynamic range is quite large
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Solution Ratio Compare intensity value (number) to reference
8:4 (really 2:1)
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Aha! Ratio Compare 2 Numbers
1/1 =1 10/1 =10 100/1 =100 1000/1 =1000 10000/1 100000/1 /1 /1 /1 /1 /1 /1 /1 /1 /1
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Logarithms!! Now that a ratio has been converted
Next step: Convert ratios to logs (base 10)
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Lets Work with Logs!!! 1 = 0 10 = 1 100 = 2 100000000000000 = ? 14
.1 = -1 .01 = -2 = ? -11
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So is that a decibel? So far we have
1. Converted a ratio to a number (10:1=10) 2. Converted the ratio to a log (10=1) We have created a ____ (A.G. Bell) There are 10 decibels in a bel 2 bels = 20 decibels 8 bels = 80 decibels
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WOW!!! Decibel = 10 log _____ A decibel consists of: 1. Ratio 2. Log
3. X10
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That was easy, let’s practice:
Integer: 10 X 10 = 100 Log: = 2 Integer: X 1000 = ? Log: = 6 Now take the log times 10 to convert to decibels
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Not bad, let’s try this: Integer: 100 / 10 = 10 Log: 2 - 1 = 1
Now take the log times 10 to convert to decibels
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Ok, I can do that, but… Some numbers are quite easy to work with in logs However, some numbers you need to use a calculator or look in a CRC book of tables Or you can memorize several numbers and calculate lots of logs Hint: log = bel
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Oh, one more thing: Measures of ________ are often made in Sound Pressure Level (SPL) rather than Intensity Level (IL) IL: amount of energy flowing thru a 1cm2 surface area SPL: amount of pressure exerted on a 1cm2 surface area IL = SPL2 dBIL=10logR equals dBSPL=20logR
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dB Intensity Level Measure of energy Reference 1.0 X 10 -16 watts/cm2
or watts/cm2
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dB Sound Pressure Level
Measure of force or pressure Reference 20 microPA
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Ratios in IL and SPL Sound Pressure Level 20/20 = 1:1 40/20 = 2:1
60/20 = 3:1 200/20 = 10:1 Intensity Level 1.0x10-16/1.0x10-16 2.0x10-16/1.0x10-16 3.0x10-16/1.0x10-16 4.0x10-16/1.0x10-16 1.0x10-15/1.0x10-16
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dBIL=10logR or dBSPL=20logR
Ratio No. Log dBIL dBSPL 1: 2: 3: 4: 5: 6: 7: 8: 9: 10:
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Can you do this? Double SPL? Double IL? Triple SPL Triple IL?
Quadruple SPL? Quadruple IL?
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What about this? Halve IL? Halve SPL?
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Practical Applications of dB
If a child’s ear canal is ___ times as small as an adult, what happens to the SPL in the child’s ear canal? If a student is 3 times closer to the teacher’s voice than another, how much more SPL reaches the child sitting near the teacher?
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Hearing Level Converting SPL to HL (HTL)
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