Consider the analog audio signal x(t) = 3 cos 2000 tt + 5 sin 6000 nt -10 cos 12000 nt (a) What is the Nyquist rate for this signal? (Hint: w = 2nf) (b) Suppose you wish to transmit this audio signal as 5+1 Dolby surround sound through a 1 Mbit/s connection in real time. Using a sampling rate F; = 5000 samples/s, what is the maximum average number of bits you can use to represent an audio sample? (c) You want to use a sampling frequency of 32 kHz, and also want use 8 bit/sample/channel representation. What is the minimum compression ratio you need in order to transmit the 5+1 surround audio signal? %3D

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Consider the analog audio signal x(t) = 3 cos 2000 nt + 5 sin 6000 nt -10 cos 12000 nt
(a) What is the Nyquist rate for this signal? (Hint: w = 2nf)
(b) Suppose you wish to transmit this audio signal as 5+1 Dolby surround sound through
a 1 Mbit/s connection in real time. Using a sampling rate F; = 5000 samples/s, what is the
maximum average number of bits you can use to represent an audio sample?
(c) You want to use a sampling frequency of 32 kHz, and also want use 8
bit/sample/channel representation. What is the minimum compression ratio you need in
order to transmit the 5+1 surround audio signal?
Transcribed Image Text:Consider the analog audio signal x(t) = 3 cos 2000 nt + 5 sin 6000 nt -10 cos 12000 nt (a) What is the Nyquist rate for this signal? (Hint: w = 2nf) (b) Suppose you wish to transmit this audio signal as 5+1 Dolby surround sound through a 1 Mbit/s connection in real time. Using a sampling rate F; = 5000 samples/s, what is the maximum average number of bits you can use to represent an audio sample? (c) You want to use a sampling frequency of 32 kHz, and also want use 8 bit/sample/channel representation. What is the minimum compression ratio you need in order to transmit the 5+1 surround audio signal?
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