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are involved in a person s listening experience citation needed the inner ear for example does significant signal processing in converting sound waveforms into neural stimuli this processing renders certain differences between waveforms imperceptible 2 data compression techniques such as mp3 make use of this fact 3 in addition the ear has a nonlinear response to sounds of different intensity levels this nonlinear response is called loudness telephone networks and audio noise reduction systems make use of this fact by nonlinearly compressing data samples before transmission and then expanding them for playback 4 another effect of the ear s nonlinear response is that sounds that are close in frequency produce phantom beat notes or intermodulation distortion products 5 there are at least five features to identify effective psychoacoustic practices clarification needed loudness the measures of perceived volume roughness sensory dissonance sharpness spectral distribution tonalness the ratio of tonal spectral peaks and spaciousness to predict perceived spaciousness another procedure for recognizing music genres or recommending music is to remove a wide range of objective features that are not entirely related to human perception however there are some low level features that aren t related to human physical perception but can improve the discovery of psychoacoustics the first one root mean square rms is another way how sound can be measured specifically loudness rms is a significant process of measurement because it helps people monitor volume spectral rolloff helps guide the frequency to a balance spectral flatness is considered to outline how loud or quite a noise range lastly inter channel cross correlation estimates the relationship between how one ear perceived sound in relation to the other ear 6 limits of perception edit an equal loudness contour note peak sensitivity around 2 4 khz in the middle of the voice frequency band the human ear can nominally hear sounds in the range 20 to 20 000 hz the upper limit tends to decrease with age most adults are unable to hear above 16 000 hz under ideal laboratory conditions the lowest frequency that has been identified as a musical tone is 12 hz 7 tones between 4 and 16 hz can be perceived via the body s sense of touch human perception of audio signal time separation has been measured to be less than 10 μs this does not mean that frequencies above 100 khz 1 10 μs are audible but that time discrimination is not directly coupled with frequency range 8 9 frequency resolution of the ear is about 3 6 hz within the octave of 1000 2000 hz that is changes in pitch larger than 3 6 hz can be perceived in a clinical setting 7 however even smaller pitch differences can be perceived through other means for example the interference of two pitches can often be heard as a repetitive variation in the volume of the tone this amplitude modulation occurs with a frequency equal to the difference in frequencies of the two tones and is known as beating the semitone scale used in western musical notation is not a linear frequency scale but logarithmic other scales have been derived directly from experiments on human hearing perception such as the mel scale and bark scale these are used in studying perception but not usually in musical composition and these are approximately logarithmic in frequency at the high frequency end but nearly linear at the low frequency end the intensity range of audible sounds is enormous human eardrums are sensitive to variations in sound pressure and can detect pressure changes from as small as a few micropascals μpa to greater than 100 kpa for this reason sound pressure level is also measured logarithmically with all pressures referenced to 20 μpa or 1 973 85 10 10 atm the lower limit of audibility is therefore defined as 0 db but the upper limit is not as clearly defined the upper limit is more a question of the potential to cause noise induced hearing loss a more rigorous exploration of the lower limits of audibility determines that the minimum threshold at which a sound can be heard is frequency dependent by measuring this minimum intensity for test tones of various frequencies a frequency dependent absolute threshold of hearing ath curve may be derived typically the ear shows a peak of sensitivity i e its lowest ath between 1 5 khz though the threshold changes with age with older ears showing decreased sensitivity above 2 khz 10 the ath is the lowest of the equal loudness contours equal loudness contours indicate the sound pressure level db spl over the range of audible frequencies that are perceived as being of equal loudness equal loudness contours were first measured by fletcher and munson at bell labs in 1933 using pure tones reproduced via headphones and the data they collected are called fletcher munson curves because subjective loudness was difficult to measure the fletcher munson curves were averaged over many subjects robinson and dadson refined the process in 1956 to obtain a new set of equal loudness curves for a frontal sound source measured in an anechoic chamber the robinson dadson curves were standardized as iso 226 in 1986 in 2003 iso 226 was revised using data collected from 12 international studies sound localization edit main article sound localization sound localization is the process of determining the location of a sound source the brain utilizes subtle differences in loudness tone and timing between the two ears to allow us to localize sound sources 11 localization can be described in terms of three dimensional position the azimuth or horizontal angle the zenith or vertical angle and the distance for static sounds or velocity for moving sounds 12 humans as most four legged animals are adept at detecting direction in the horizontal but less so in the vertical directions due to the ears being placed symmetrically some species of owls have their ears placed asymmetrically and can detect sound in all three planes an adaptation to hunt small mammals in the dark 13 masking effects edit main article auditory masking audio masking graph suppose a listener can hear a given acoustical signal under silent conditions when a signal is playing while another sound is being played the signal has to be stronger for the listener to hear it the interfering signal is known as the masker and the impeded listening masking the masker does not need to have the frequency components of the original signal for masking to happen a masked signal can be heard even though it is weaker than the masker masking happens when a signal and a masker are played together for instance when one person whispers while another person shouts and the listener doesn t hear the weaker signal as it has been masked by the louder masker masking can also happen to a signal before a masker starts or after a masker stops for example a sudden loud clap sound can make sounds inaudible immediately preceding or following the effect of backward masking is weaker than forward masking 10 the masking effect has been widely studied in psychoacoustical research and are exploited in lossy audio encoding such as mp3 missing fundamental edit main article missing fundamental when presented with a harmonic series of frequencies in the relationship 2 f 3 f 4 f 5 f etc where f is a specific frequency humans tend to perceive that the pitch is f an audible example can be found on youtube 14 music edit psychoacoustics includes topics and studies that are relevant to music psychology and music therapy theorists such as benjamin boretz consider some of the results of psychoacoustics to be meaningful only in a musical context 15 irv teibel s environments series lps 1969 79 are an early example of commercially available sounds released expressly for enhancing psychological abilities 16 applied psychoacoustics edit psychoacoustic model psychoacoustics has long enjoyed a symbiotic relationship with computer science internet pioneers j c r licklider and bob taylor both completed graduate level work in psychoacoustics while bbn technologies originally specialized in consulting on acoustics issues before it began building the first packet switched network licklider wrote a paper entitled a duplex theory of pitch perception 17 psychoacoustics is applied within many fields of software development where developers map proven and experimental mathematical patterns in digital signal processing many audio compression codecs such as mp3 and opus use a psychoacoustic model to increase compression ratios the success of conventional audio systems for the reproduction of music in theatres and homes can be attributed to psychoacoustics 18 and psychoacoustic considerations gave rise to novel audio systems such as psychoacoustic sound field synthesis 19 furthermore scientists have experimented with limited success in creating new acoustic weapons which emit frequencies that may impair harm or kill 20 psychoacoustics are also leveraged in sonification to make multiple independent data dimensions audible and easily interpretable 21 this enables auditory guidance without the need for spatial audio and in sonification computer games 22 and other applications such as drone flying and image guided surgery 23 it is also applied today within music where musicians and artists continue to create new auditory experiences by masking unwanted frequencies of instruments causing other frequencies to be enhanced yet another application is in the design of small or lower quality loudspeakers which can use the phenomenon of missing fundamentals to give the effect of bass notes at lower frequencies than the loudspeakers are physically able to produce see references automobile manufacturers engineer their engines and even doors to have a certain sound 24 perceptual audio coding edit perceptual audio coding uses psychoacoustics based algorithms see also data compression perceptual audio coding the psychoacoustic model provides for high quality lossy signal compression by describing which parts of a given digital audio signal can be removed or reproduced with reduced quality without significant loss in the perceived quality of the sound this provides great benefit to the overall compression ratio and psychoacoustic analysis routinely leads to compressed music files that are one tenth to one twelfth the size of high quality masters but with discernibly less proportional quality loss such compression is a feature of nearly all modern lossy audio compression formats some of these formats include dolby digital ac 3 mp3 opus ogg vorbis aac wma mpeg 1 layer ii used for digital audio broadcasting in several countries and atrac the compression used in minidisc and some walkman models psychoacoustics is based heavily on human anatomy especially the ear s limitations in perceiving sound as outlined previously to summarize the main limitations are high frequency limit absolute threshold of hearing temporal masking forward masking backward masking simultaneous masking also known as spectral masking a compression algorithm can assign a lower priority to sounds outside the range of human hearing and reduce the precision of different frequencies according to the predicted masking level by carefully shifting bits away from the unimportant components and toward the important ones the algorithm ensures that the sounds a listener is most likely to perceive are most accurately represented audio encoders analyse audio using a perceptual model psychoacoustic model in order to compute the required precision per frequency band or temporal section results of this computation are then used to adjust coding precision as a function of frequency and time through a set of coding tools that are dependent on the audio encoding format as different formats support different coding tools examples of such coding tools are frequency filtering lowpass highpass transform window selection size and model joint stereo coding parametric stereo sample requantization non linear quantization vector quantization temporal noise shaping tns perceptual noise substitution pns spectral band replication sbr in many encoders a rate control algorithm ensures that the resulting bitrate of the coded audio is within defined limits if transparent coding can t be achieved at the target bitrate then the rate control algorithms will adjust coding precision and thus introduce distortion in various parts of the sound spectrum using guidance from data computed by the psychoacoustic model until the target bitrate can be matched see also edit music portal a weighting a commonly used perceptual loudness transfer function abx test audiology auditory scene analysis including 3d sound perception localization binaural beats chalkboard scraping sound of fingernails scraping chalkboard equivalent rectangular bandwidth erb health effects from noise hypersonic effect language processing in the brain misophonia musical tuning precedence effect psycholinguistics rate distortion theory signal separation sound masking speech perception speech recognition timbre references edit notes edit ballou glen 2012 11 12 handbook for sound engineers fourth ed taylor francis p 43 isbn 9781136122538 christopher j plack 2005 the sense of hearing routledge isbn 978 0 8058 4884 7 lars ahlzen clarence song 2003 the sound blaster live book no starch press isbn 978 1 886411 73 9 rudolf f graf 1999 modern dictionary of electronics newnes isbn 978 0 7506 9866 5 jack katz robert f burkard larry medwetsky 2002 handbook of clinical audiology lippincott williams wilkins isbn 978 0 683 30765 8 ziemer tim yu yi tang suhua 2016 12 08 using psychoacoustic models for sound analysis in music proceedings of the 8th annual meeting of the forum for information retrieval evaluation fire 16 new york ny usa association for computing machinery pp 1 7 doi 10 1145 3015157 3015158 isbn 978 1 4503 4838 6 1 2 olson harry f 1967 music physics and engineering dover publications pp 248 251 isbn 978 0 486 21769 7 kuncher milind august 2007 audibility of temporal smearing and time misalignment of acoustic signals pdf boson physics sc edu archived pdf from the original on 14 july 2014 robjohns hugh august 2016 mqa time domain accuracy digital audio quality soundonsound com sound on sound archived from the original on 10 march 2023 1 2 fastl hugo zwicker eberhard 2006 psychoacoustics facts and models springer pp 21 22 isbn 978 3 540 23159 2 thompson daniel m understanding audio getting the most out of your project or professional recording studio boston ma berklee 2005 print roads curtis the computer music tutorial cambridge ma mit 2007 print lewis d p 2007 owl ears and hearing owl pages online available http www owlpages com articles php section owl physiology title hearing 2011 april 5 acoustic musical 9 march 2015 missing fundamental youtube archived from the original on 2021 12 20 retrieved 19 august 2019 sterne jonathan 2003 the audible past cultural origins of sound reproductio...
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