Representing Sound (Edexcel GCSE Computer Science)

Revision Note

Robert Hampton

Expertise

Computer Science Content Creator

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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Robert Hampton

Author: Robert Hampton

Rob has over 16 years' experience teaching Computer Science and ICT at KS3 & GCSE levels. Rob has demonstrated strong leadership as Head of Department since 2012 and previously supported teacher development as a Specialist Leader of Education, empowering departments to excel in Computer Science. Beyond his tech expertise, Robert embraces the virtual world as an avid gamer, conquering digital battlefields when he's not coding.