3. Consider the analog audio signal x(t) = 4 cos 1000 nt + 2 sin 2000 nt -5 cos 8000 t (a) What is the Nyquist rate for this signal? (Hint: w = 2nf) (b) Suppose you wish to transmit this audio signal as stereo sound through a 2 Mbit/s connection in real time. Using a sampling rate F, = 3000 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 64 kHz, and also want use 16 bit/sample/channel representation. What is the minimum compression ratio you need in order to transmit the stereo audio signal?
3. Consider the analog audio signal x(t) = 4 cos 1000 nt + 2 sin 2000 nt -5 cos 8000 t (a) What is the Nyquist rate for this signal? (Hint: w = 2nf) (b) Suppose you wish to transmit this audio signal as stereo sound through a 2 Mbit/s connection in real time. Using a sampling rate F, = 3000 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 64 kHz, and also want use 16 bit/sample/channel representation. What is the minimum compression ratio you need in order to transmit the stereo audio signal?
Introductory Circuit Analysis (13th Edition)
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![3. Consider the analog audio signal x(t) = 4 cos 1000 it + 2 sin 2000 nt -5 cos 8000 t
(a) What is the Nyquist rate for this signal? (Hint: w = 2nf)
(b) Suppose you wish to transmit this audio signal as stereo sound through a 2 Mbit/s
connection in real time. Using a sampling rate F, = 3000 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 64 kHz, and also want use 16
bit/sample/channel representation. What is the minimum compression ratio you need in
order to transmit the stereo audio signal?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce73ed66-4091-4a72-8bc4-de0be8e10d33%2Ffed0d2fe-ae2f-40ec-afe8-d2685b98bb9b%2Fejlo6ub_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Consider the analog audio signal x(t) = 4 cos 1000 it + 2 sin 2000 nt -5 cos 8000 t
(a) What is the Nyquist rate for this signal? (Hint: w = 2nf)
(b) Suppose you wish to transmit this audio signal as stereo sound through a 2 Mbit/s
connection in real time. Using a sampling rate F, = 3000 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 64 kHz, and also want use 16
bit/sample/channel representation. What is the minimum compression ratio you need in
order to transmit the stereo audio signal?
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