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Gas Turbine Acoustics and Noise Control 151<br />

To extract the ambient or a contaminating noise level (L 1 ) from a<br />

total operating noise level (L 2 ) to determine what the source is (and<br />

L2 should be at least 3 dB higher than L1):<br />

Source = 10 Log [10 (L2/10) - 10 (L1/10) ] dB (10-7)<br />

Reporting or calculating sound levels in excess of one decimal point<br />

is unwarranted.<br />

Frequency and Bandwidth<br />

When we speak of acoustics most think of music, stereo systems<br />

and other elements of the science of producing sound in a pleasurable<br />

manner. Unwanted sound is called noise. It is this unwanted sound<br />

with which we are concerned. Sound or noise emanates at particular<br />

frequencies (discrete) or groups of frequencies (broad-band) that we<br />

can hear or sometimes feel. The unit of frequency is the hertz (Hz)<br />

having units of 1/sec (cycles per second is no longer used). The noise<br />

signature or emissions of equipment can span thousands of discrete<br />

frequencies, and thus, can be very challenging to analyze (in fact, the<br />

cited equations used in this chapter are all a function of frequency<br />

but for simplicity are not annotated as such). Industry Standards<br />

grouped these discrete frequencies into bands of frequencies known<br />

as octaves, which means a doubling and is a geometric-logarithmic<br />

function where 1,000 Hz has been defined as the datum point; that<br />

is, an octave above 1k Hz is 2k Hz, an octave down is 500 Hz, etc.<br />

By grouping these frequencies into just nine octave bands (31.5 – 8k<br />

Hz) makes noise control work much easier and somewhat more manageable.<br />

Other frequency bandwidths are used too, such as one-third<br />

octave band, and what is commonly known as narrowband analysis<br />

where the frequency spectrum can be measured in fractions of a<br />

hertz. This is typically the approach when identifying the source of<br />

a particular sound. Table 10-1 lists one-third and octave bands that<br />

are commonly used for sound measurement and analyses.<br />

The Weighted Sound Level<br />

The human ear receives sound at many frequencies, at many<br />

different amplitudes and all at the same time. It acts as a filter and<br />

it shifts sensitivity based on the amplitude and frequency of the<br />

sound. It performs poorly at low frequencies, very well at middle

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