Representing Sound (Edexcel GCSE Computer Science)

Revision Note

How Analogue Sound is Represented

  • Computers represent all data in binary, including sound that we record using a microphone (input) or sound that we playback from a speaker (output)

  • For this to happen, analogue sound must be sampled and stored

How is analogue sound sampled & stored?

  • Measurements of the original sound wave are captured and stored as binary on secondary storage

  • Sound waves begin as analogue and for a computer system to understand them they must be converted into a digital form

  • This process is called Analogue to Digital conversion (A2D)

  • The process begins by measuring the loudness (amplitude) of the analogue sound wave at a point in time, these are called samples

  • The higher the amplitude, the louder the sound

  • Each measurement (sample) generates a value which can be represented in binary and stored

  • Using the samples, a computer is able to create a digital version of the original analogue wave

  • The digital wave is stored on secondary storage and can be played back at any time by reversing the process

analogue-to-digital-image
  • In this example, the grey line represents the digital wave that has been created by taking samples of the original analogue wave

  • In order for the digital wave to look more like the analogue wave (black line) the sample rate, bit depth and sample interval can be changed

Sample Rate, Bit Depth & Sample Interval

What is sample rate?

  • Sample rate is the amount of samples taken per second of the analogue wave

  • Samples are taken each second for the duration of the sound

  • The sample rate is measured in Hertz (Hz)

  • 1 Hertz is equal to 1 sample of the sound wave

image2---sample-rate-comparisons
  • In the example above, the higher the sample rate, the closer to the original sound wave the digital version looks

What is sample interval?

  • Sample interval is the amount of time between samples being taken

  • Sample interval is the direct opposite of sample rate, when one is high the other is low and vice versa

  • For example, to increase the recording quality of a digital recording we increase the sample rate, which reduces the sample interval

  • If the sample interval is increased the sample rate is reduced, thus making the quality worse

What is bit depth?

  • Bit depth is the number of bits used to represent each sound sample

  • Bit depth is closely related to the colour depth of a bitmap image, they measure the same thing in different contexts

image-of-sample-rate-comparisons
  • The sample rate of a typical audio CD is 44.1kHz (44,100 Hertz or 44,100 samples per second), a bit depth of 16 and is recorded in stereo sound

  • Using the graphic above to compare common bit depths, the question, “Why does telephone hold music sound so bad?” can now be answered

What effect do sample rate, bit depth & sample interval have?

Factor

Effect of playback quality

Effect on file size

Sample rate

⬆️higher = more detail, better sound quality

⬆️higher = more data, larger file size

Bit depth

⬆️higher = bigger range, better sound quality

⬆️higher = more data per sample, larger file size

Sample interval

⬇️lower = more detail, better sound quality

⬇️lower = more data, larger file size

Worked Example

An analogue to digital converter is used to change the sounds received by a microphone into a form that can be processed by a computer.

Complete the diagram to show a sample interval and label both axes [3]

A graph to show an analogue sound wave, missing labels for the x & y axis

Answer

A graph showing an analogue sound wave with x axis labelled 'time' and y axis labelled 'amplitude' and 'sample interval' shown on the wave

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