Page 136 - The Master Handbook Of Acoustics
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                                                                             SPEECH, MUSIC, AND NOISE


                      White and Pink Noise
                      References to white noise and pink noise are common and sometimes
                      confusing. What is the difference? White noise is analogous to white
                      light in that the energy of both is distributed uniformly throughout the
                      spectrum. In other words, white noise energy exhibits a flat distribu-
                      tion of energy with frequency (Fig. 5-18A).
                         White light sent through a prism is broken down into a range of
                      colors. The red color is associated with the longer wavelengths of
                      light, that is, light in the lower frequency region. Pink noise is noise
                      having higher energy in the low frequencies. In fact, pink noise has
                      come to be identified specifically as noise exhibiting high energy in
                      the low-frequency region with a specific downward slope of 3 dB per
                      octave (Fig. 5-18C). There is a practical reason for this specific slope.
                         These two colorful terms arose because there are two types of
                      spectrum analyzers in common use. One is the constant bandwidth



                           40
                                                                                     B
                           20                          3 dB per octave


                                                         White noise
                        dB  0                                                        A


                           20                             3 dB per octave
                                Pink noise filter characteristic
                                                                                     C
                           40
                            20 Hz       100 Hz             1 kHz           10 kHz 20 kHz
                                                         Frequency - Hz
                                                                            FIGURE 5-18
                      Random noise has constant energy per Hz. If the spectrum of random noise is measured
                      (white) with a wave analyzer of fixed bandwidth, the resulting spectrum will be flat
                      with frequency as in A. If measured with an analyzer whose passband width is a given
                      percentage of the frequency to which it is tuned, the spectrum will slope upward at 3
                      dB per octave, as in B. By processing the white noise spectrum of A with a filter that
                      slopes downward at 3 dB per octave, such as in C, a flat response results when constant
                      percentage bandwidth filters are used such as octave or one-third octave filters. In mea-
                      suring a system, pink noise is applied to the input and, if the system is flat, the read
                      out response will be flat if one-third octave filters, for example, are used.
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