Intensity, Intensity Level, and Intensity Spectrum Level

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Presentation transcript:

Intensity, Intensity Level, and Intensity Spectrum Level The spectrum level is the intensity level of the sound wave within a 1 Hz band.

A Sonar System band pass filter #1 hydrophone band pass filter #2 acoustic pressure hydrophone Output

System Output Fourier Transform of the Time Domain Signal frequency band level band #1 band #2 band #3 Fourier Transform of the Time Domain Signal Frequency Analyzer

Example

Fourier Coefficients n fn (Hz) Pmax (Pa) P2rms (Pa) I (W/m2) L (dB) 1 1 0.5 3.3 x 10-7 117 110 5 12.5 8.3 x 10-6 131 2 220 3 330 4 110 220 330 440 f (Hz) Pressure (Pa) 1 2 3 4 5

Band Level frequency ISL f1 f2 ISLave The Band Level is the intensity level over a band other than 1 Hz.

Example 100 200 282 355 frequency (Hz) Intensity Spectrum Level (dB) 60 50 30 Using the plot of ISL as a function of frequency shown, calculate the band level of every band the total band level the total band level in a band from 150 Hz to 300 Hz

Types of Spectrums frequency Spectrum Level broadband noise tonals

Example What is the total BL?

Common Bandwidths Constant Bandwidth Df = constant Proportional Bandwidth Octave Bandwidth f2 = 21 f1 Half Octave Bandwidth f2 = 21/2 f1 Center Frequency 100 200 282 355 frequency (Hz) Spectrum Level (dB) 60 50 30 fc=141

Preferred Octave Bands

Why do we care? Source Level (SL) and Noise Level (NL) are both examples of Band Levels (BL) where the frequency band(s) are defined by the frequencies of our Sonar System