On an audio compact disc (CD), digital bits of

Chapter 2, Problem 2.10

(choose chapter or problem)

On an audio compact disc (CD), digital bits of informationare encoded sequentially along a spiral path. Each bit occupiesabout 0.28 /xm. A CD players readout laser scans along thespirals sequence of bits at a constant speed of about 1.2 m/s asthe CD spins, (a) Determine the number N of digital bits that aCD player reads every second, (b) The audio information issent to each of the two loudspeakers 44,100 times per second.Each of these samplings requires 16 bits and so one would (atfirst glance) think the required bit rate for a CD player isNn = 2 44,100samplings ^second )(mbitssecondwhere the 2 is for the 2 loudspeakers (the 2 stereo channels).Note that No is less than the number N of bits actually readper second by a CD player. The excess number of bits(= N N0) is needed for encoding and error-correction.What percentage of the bits on a CD are dedicated toencoding and error-correction?