Physics of Sound

Problems on digital recording

1. Digital signal is recorded in the 8-bit format. What is the number of binary places in the sample? What is the maximal signal height, in relative units? What is the maximal signal intensity, in relative units? What is the minimal signal height above the digital silence, in relative units? What is its intensity? What is the height of the digital silence? What is the dynamic range of this signal?

2. A 8-bit digital signal is played on an audio reproduction system. The loudest output signal has SIL of 90 dB (set by the volume control of the power amplifier). What is the SIL of the quietest possible sound in this signal with the same setting of the volume control?

3. The sampling frequency of a digital signal is 32000 Hz. How many samples does one minute of the signal contain?

4. What is the bit rate of a 4-channel digital audio signal with sample depth 16 bit and sampling frequency 48000 Hz? If this audio signal is combined with a video of 700 kbps, what will be the BR of the resulting signal?

5. How many bits does a 10 MB file contain?

6. What is the byte rate of the audio signal in the problem 4.?

7. What is the file size of one minute of a two-channel digital audio signal with sampling frequency 48 KHz and sample depth 24 bits in bits and bytes?

8. An SD flash card has a capacity of 2 GB. How much stereo music fits on this card in the 44.1/16 format? In the 48/16 format? In the high-resolution 96/24 format?

9. A DSL Internet line has a transfer rate of 2 mbps. How much time is needed to download a file with the size of 100 MB?

10. The same Internet line is used to download an music file that contains 10 minutes of stereo music in the 44.1/16 format. How much tome is needed for the download?