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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-minute
song, 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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