5. (a) [4 points] How many bits would it take to store a 3-minute song, using an
ID: 3614436 • Letter: 5
Question
5. (a) [4 points] How many bits would it take to store a 3-minutesong, using an encoding method that samples at the rate of12,000 sam-
ples a second, and has a bit depth of 14 (sample size) and does not
use compression?
(b) [3+2 points] How many bits would it take to store anuncompressed,
1200x900 RGB image, that uses 8-bits for each color's intensity?
Suppose 120 such images are displayed every second (for true motion
video), what should be minimum speed of your connection to a web-
server (how many bits per second)? Assume that video is notstored on
your computer. It is played at the serverlocation, and sent to your
computer for display.
Explanation / Answer
a) Number of samples in this 3-minute song = 3* 60*12000 = 2160000 Number of bits in this 3-minute songs = 2160000*14 bits = 30240000 = 3780 KB b) Each image has bits = 1200 * 900 * 8 = 8640000 bits Total bits per second = 120 * 8640000 = 1036800000 thereforeminimum speed per second = 1036800000
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