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component is played before a quiet sound, the quiet sound may not be heard if it appears within the order of 50 200 ms [6]. The masking threshold will mask weaker signals around the masker. Using the absolute threshold of hearing to shape the spectrum of coding distortion represents the rst step toward perceptual coding. However, the most useful threshold is the masking threshold when stimuli (audio signals) are present. The detection threshold for spectral quantization noise is a combination of the absolute threshold and the shape determined by the stimuli present at any given time. Since stimuli are time varying, the masking threshold is also a time-varying function of the input signal. In order to estimate this threshold based on the rules highlighted in Figure 13.3, spectral coef cients are used to compare the relative magnitude. Human does not respond linearly to all frequency components. The auditory system can be roughly divided into 26 critical bands; each band is a bandpass lter with bandwidth of 50 100 Hz for signal below 500 Hz, and with bandwidth up to 5000 Hz for signal at high frequencies. One critical band comprises one bark. Within each critical band, the auditory-masking threshold, which is also referred as the psychoacoustics masking threshold (or the threshold of the just noticeable distortion) can be determined. Frequencies in these critical bands (or barks) are harder to distinguish by human ears. The conversion from frequency to bark (critical band) can be approximated using the following equation [4]: z( f ) = 13 tan 1 (0.00076 f ) + 3.5 tan 1 [( f /7500)2 ] (Bark). (13.2)

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Centralization offers great cost bene ts during a technology s development. Reservoirs, water towers, and pipes expensive as they are are cheaper than every house in a city drilling its own well for water. Consequently, a centralized distribution system offers substantial cost savings. The early telephone company (AT&T was The Phone Company until 1984, remember) recognized the potential cost savings of centralization when it followed the water tower-to-home concept to help contain its distribution costs. The technology of the time demanded that AT&T create giant connection frames where the phone line from every home and of ce in the area terminated. Remember the old switchboard operator pictures where ladies plugged wires into a matrix of plugs in front of them That s the way the telephone network started and still works today. Virtual circuit, the operative word for the type of connection used by the telephone network, creates a solid wire link between the calling and receiving phone. When you call your next-door neighbor, the wire goes from your phone to the central of ce (the switching center with computers replacing the ladies with hair buns and wires) and back down another wire to your neighbor s house. Some readers may politely point out that they have a cellular phone and so there is no wire involved. Correct, but the technology works the same, because the originating station (your cell phone) and the receiver (the phone you called) stay connected to each other, and only each other, during the conversation.

This equation converts frequency in Hz to the bark scale. Thus, one critical bandwidth comprises one bark. The masking curves shown in Figures 13.3 and 13.4 are plotted using this approximation.

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