1.MP3 is a patented digital audio format using a form of lossy data compression.
ID: 2249161 • Letter: 1
Question
1.MP3 is a patented digital audio format using a form of lossy data compression. It reduces the data storage by a factor of about 1/11. The standard for most regular commercial music CD’s is a sampling rate of 44.1 ksamples/s for each of two channels (stereo) and each sample has 16 bits. Determine the approximate data rate (in kbits/s) for MP3.
(a) 128 (b) 64 (c) 256 (d) 1024
2. Several years ago, the Virginia Symphony led by Conductor JoAnn Falleta gave a magnificent performance of Mahler's Symphony #2 (Resurrection). Let's assume that the performance lasted 75 minutes and that it was digitally recorded in stereo using a sampling rate of 44.1 ksamples/s for each channel and that each sample was represented by 16 bits. Neglecting any error detection and correction bits, determine the total number of bytes required to encode the complete concert. Note: G = 1e9, M = 1e6, 1 byte = 8 bits.
(a) 794 Mbytes (b) 6.35 Gbytes (c) 50.8 Gbytes (d) 397 Gbytes
Problems 3-5 Refer to a 5-M resistance in a bandwidth of 200 MHz at a temperature of 290 K.
3. Determine the available one-sided power spectral density (in W/Hz) for the resistance.
(a) 1.38x10-23 (b) 16x10-21 (c) 800x10-5 (d) 4x10-21
4.Determine the available noise power (in W) contained in the resistance..
(a) 4x10-21 (b) 20x10-15 (c) 16x10-6 (d) 800x10-15
5. Determine the rms open-circuit noise voltage (in mV).
(a) 4 (b) 0.016 (c) 16 (d) 20
Explanation / Answer
1.
The transmission rate is,
T=sampling rate * no. of bits
T=44.1*16
=705.6 kbps
but mp3 is a lossy system, reducing the rate by 1/11.
thus,
net rate is,
T'=T/11
=705.6/11
~64 kbps
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