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DigitalVideoAndHDTVAlgorithmsAndInterfaces.pdf

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3· 588· 25 Hz = 44100 Hz<br />

3 490 30 Hz 44100<br />

· · = kHz<br />

1. 001 1. 001<br />

≈ 44. 056 kHz<br />

The 44.1 kHz sampling rate for consumer digital audio<br />

originated from an early PCM recording system that<br />

recorded three, 16-bit stereo sample pairs on 588<br />

active lines of a 625/50 U-matic VCR. In 525/59.94<br />

countries, the original rate was 44100 ⁄ 1.001: Three 16-bit<br />

stereo sample pairs were recorded on each of 490<br />

active lines per frame. Eventually, the 44.1 kHz rate was<br />

standardized worldwide.<br />

The professional audio sampling rate was chosen to be<br />

48 kHz. The time interval of one video picture at<br />

50 fields or frames per second corresponds to exactly<br />

960 audio samples at 48 kHz. An AES/EBU audio frame<br />

comprises 192 left/right sample pairs, with 16 bits in<br />

each sample: In 50 Hz video standards, a video frame<br />

occupies exactly the same time interval as five audio<br />

frames.<br />

In video at 59.94 fields or frames per second, the<br />

timing relationships are unfortunate. There are 1601 3 ⁄5<br />

audio sample intervals in one picture time: This noninteger<br />

number is very inconvenient. The timing relationship<br />

of audio samples to video pictures aligns just once<br />

every five pictures. There are 1001 ⁄240 (i.e., 4.170833 _ )<br />

AES/EBU audio frames in a video picture time.<br />

At the consumer audio rate, there are 882 samples in<br />

1 ⁄50 s; an integer. There are exactly 1471.47 samples in<br />

1 ⁄59.94 s; again, the noninteger ratio causes havoc.<br />

380 DIGITAL VIDEO AND HDTV ALGORITHMS AND INTERFACES

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