3-minute song is sampled at 44.1 KHz with 65,536 quantization levels in mono (one channel). How...
3-minute song is sampled at 44.1 KHz with 65,536 quantization levels in mono (one
channel). How big would the mp3 be given an mp3 is 1/11 of the uncompressed size?
Homework Answers
3 minutes = 3 * 60 seconds = 180 seconds
Sampling rate = 44.1 KHz = 44100 Hz
Quantization levels = 65,536 = 216
So, bits required to represent 65,536 quantization levels = 16
Number of channel = 1 (mono)
File size = ( sampling rate * bits per sample * channel number * duration ) bits
= (44100 * 16 * 1 * 180) bits = 127008000 bits = 15876000 Bytes = 15503.906 KB = 15.14 MB
So, the uncompressed size of the mp3 file is 15.14 Megabytes (approximately).
With 11:1 compression ratio the mp3 file size will be = (15.14/11) MB = 1.376 MB
So, the compressed size of the mp3 file is 1.376 Megabytes (approximately).
Hope this helps.
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