Chapter 3 - Signalling 3.1 Digital revolution and the death of distance Learning Outcomes: The world has seen an explosive growth of signalling capacity. A signal channel has a capacity; a maximum rate at which it can transmit information. Digital signals have the advantage that they can be regenerated easily, reducing the effects of noise they can readily be switched they can be processed and encoded they can represent different kinds of signal in a uniform way Analogue signals are made digital by sampling. The sampling must be done fast enough to reproduce the highest important frequencies in the signal. Samples can be digitised with different resolutions (e.g. 8 bit, 16 bit). N bits gives 2 N different levels of measured values. Suitable coding can make digital transmission essentially error free. Lesson 1 – Digital and analogue Objectives: To be able to describe ways in which communication has changed over the past hundred years; to be able to recognise the differences between digital and analogue signals; to be able to change an analogue signal to a digital one. Activities: Choose from the questions in 10S Data on the telecommunications explosion. This is a scene setter and should only take 10-15mins. Then demonstrate digital signals using 20D What do digital signals look like? And the optical fibre kit with a radio or MP3 player. If a microphone is used, this provides a good way into analogue to digital conversion. Pose the problem of how to change a smoothly varying analogue signal into a discrete digital one and introduce the idea of sampling. Try 50E Guess a waveform from a sample. This may take some time, but do not get tempted to go into sampling rates, or bits and bytes too much at this stage. 50S given below should be given as homework and leads into the next lesson Out of class: Piglet 50S Simple sampling Pooh 30D Digital recording error correction Christopher Robin Lesson 2 – How to digitise a signal, resolution and noise Objectives: to be able to describe the advantages of digital signals; to be able to explain how aliasing occurs and how to avoid it; to know that samples can be digitised with different resolutions and link this to size of the signal in bits and bytes Activities: Demonstrate 70S Looking less often to show how an analogue signal can be degraded if you don’t sample often enough. Show videos of aliasing eg helicopter blades or car wheels. Look at 60D Mains interference with noise and 70D Electrical noise pickup Discuss the error correction homework and demonstrate 100D CD with a hole Time will need to be spent going through examples of signal transmission eg fax/email on p59. Also questions on p64. This is an essential and often misunderstood part of the course and often comes up in exams. Piglet 60S Sampling repetitive motion 70S Sampling and hearing Pooh Christopher Robin 3.2 Signalling with electromagnetic waves Learning outcomes: Communication with electromagnetic waves uses frequencies from a few thousand hertz to infrared frequencies and above, divided into bands used for different purposes. Electromagnetic waves can be polarised; the orientation of a detector has to take this into account. A signal can be analysed into the frequencies it consists of – its spectrum. A signal channel has a capacity, the rate at which it can transmit information, measured in bits per second. The bandwidth of a signal is the range of frequencies in its spectrum. The larger the bandwidth the greater the rate of transmission of information. Noise limits the rate at which information can be transmitted. Lesson 3 – Using waves for communication Objectives: To know what the range of radio / TV frequencies used for communication is; to be able to describe why shorter wavelengths can carry more information 80X Charting the electromagnetic spectrum is a good scene setter and a reminder of large and small numbers and v=fλ. Then focus in on communication by showing 80O Signal bands for communication. Discuss how digital signals are sent using a carrier wave and consider why shorter waves are able to carry more information. Encourage pupils to try 110H Home experiments with television and radio signals 80S Rate of transmission information limited by noise 230E Making an electronic sound generator Piglet 90S Using the wave equation Pooh 100S Hearing better, phoning sooner Christopher Robin Lesson 4 - Polarisation Objectives: To be able to describe polarisation of waves and to know what waves ca be polarised and what cannot; to know how polarisation is used in communication. Acitvities: 120D Polarisation of waves contains the essential demonstrations and should be used with 90O Polarisation. 130E Polarisation by scattering and 140D Polarisation by reflected light go a little further and will be of interest to pupils. Introduce then next section with an adapted 170E using the PC and frequency analyser of picoscope. Piglet 120S Longitudinal and trasverse waves Pooh 130S Polarisation in satellite communication Christopher Robin 140S Polarisation in practice Lesson 5 / 6 – Processing sound Objectives: To be able to use sound processing software in order to generate an filter waves; to know that sounds are made from a range of frequencies and that computers can be used to analyse the frequencies present; to be able to use the term bandwidth in relation to signal transmission rates; be able to calculate the bandwidth of a signal Activities: This computer based lesson asks students to work through a variety of exercise aimed at familiarising them with sound processing: 160S Filtering sounds, 190S Hearing impairment: using a digital filter, 210S Cleaning up a sound, 220S Building up a sound. When students are happy with this, introduce the term bandwidth and try 240S Spectra of pulses, and 260S Bits per second and bandwidth. Along with the student book, these provide the basics of bandwidth and transmission rate. Only a brief treatment is necessary There are also presentations regarding harmonics in music and a frequency analyser software programme to provide real time views of harmonics. Piglet 150X Waveform and frequency spectra 160D Oscilloscope displays of waveforms Pooh Christopher Robin