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Prob 1. The sound audible to human ears is in the frequency range 20Hz~20kHz. (a

ID: 3349307 • Letter: P

Question

Prob 1. The sound audible to human ears is in the frequency range 20Hz~20kHz. (a) To record a stereo (two channels) digital audio, what is the minimum sampling frequency needed for each channel? Compare your (b) Use the sampling frequency from part (a) and assume each sample is uniformly quantized and coded into 14 bits of binary data, what is the resulting data rate in bps? How much storage space in Mega Bytes (MB) do you need to record 74 minutes of stereo music? Compare your result with the standard capacities of blank CDs 74min-650MB or 80min-700MB. (c) If the audio signal from each channel has an average power of 0.1 W and a peak amplitude of 1 V, fined the resulting signal to quantization noise ratio (SQNR) of the uniform quantizer output in part (b). result to the industrial standard of 44.1kHz.

Explanation / Answer

To record a streo(two channels) digital audio the minimum frequency needed for each channel is the sampling frequency must be greater than twice the maximum frequency since human hearing range is roughly 20 Hz to 20,000 Hz,the sampling rate has to be greater than 40 kHz.The 4401 kHz sampling frequency allows for a 2.05 khz transtion band

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