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Communication


Most modern communication techniques use waves

Modulation

  • A.M: Amplitude modulation
  • F.M: Frequency modulation

Both types of modulation use a "Carrier Wave"

A Carrier wave is a high-frequency Electromagnetic wave modulated in either frequency or amplitude to transfer a signal

Amplitude Modulation

In amplitude modulation the frequency of the modulated wave is constant, and the amplitude of the modulated wave varies proportionally to and in phase with the signal

Carrier Wave

  • Carrier wave

+ Signal wave

  • Signal wave

= Amplitude modulated wave

  • Signal wave
  • Amplitude modulated wave
  • Inverted signal wave

Frequency Modulation

In frequency modulation (FM), the amplitude of the carrier wave remains constant. The frequency of the carrier wave is made to vary in sync with the displacement of this information signal

Carrier Wave

  • Carrier wave

+ Signal wave

  • Signal wave

= Frequency modulated wave

  • Frequency modulated wave

Sidebands and bandwidth

TODO

TODO: Advantages and disadvantages to AM and FM

Communication TypeFrequency RangeWavelength in airFrequency Band
LW Radio30 KHz - 300 Khz10km - 1kmLow frequency (LF)
MW Radio300KHz - 3 MHz1km - 100mMedium frequency (MF)
Short-Wave (SW) radio3 MHz - 30MHz100m - 1mHigh frequency (HF)
FM Radio30 MHz - 300 MHz10m - 1mVery high frequency (VHF)
TV Broadcasting and Phones300MHz - 3GHz1m - 10cmUltra-high frequency (UHF)
Microwave link3 GHz - 30 GHz10cm - 1cmSuper-high frequency (SHF)
Satellite link30 GHz - 300 GHz1cm - 1mmExtra-high frequency (EHF)

Analog Signals

Signal has the same variation as the data and is continuously variable. When an analog signal is transmitted over a long distance it will be attenuated and pick up the background noise.

For the signal to continue to travel, it must be periodically amplified by a repeater, however, this also amplifies any distortion/noise, negatively affecting the signal

Digital Signals

  • Signal wave

Digital Signals consist of highs and lows (1's and 0's - discrete) with no intermediate value. Because of this, even if the signal becomes noisy during transit, amplifiers in the middle are able to recreate the exact original waveform and remove the data

Advantages of digital signals

  • The signal can be regenerated and noise eliminated
  • Extra data can be added to check for errors
  • Multiplexing: Digital from a large number of different sources can share the same path
  • Digital circuits are more reliable/cheaper to produce
  • Data can be encrypted for security

Binary number representation

Binary is a base-2 scale

Denary (Base 10)Binary (Base 2)Hexadecimal (Base 16)
1000101
2001002
3001103
4010004

Converting Analogue to digital

In digital transmission, the analog signal (e.g voice) is converted to digital using an ADC (Analog to digital converter). When received, the signal can be regenerated into its analog form using a DAC (Digital to analog converter)

e.g. if the sampling rate is 10 Hz, then 10 samples per second are taken and the interval between samples is 0.1s

The maximum sampling rate required is only twice the highest frequency present in the signal.

The human ear can detect 20Hz - 20KHz. Max sampling required for ADC (Analog to digital convert) is 40KHz ($20,000 * 2 = 40,000$)

These samples (instantaneous voltages) are converted into a binary number representing their value. How accurate this depends on the number of bits.

Parallel to serial converter can be used to transmit bits one after another through a single wire, rather than having 8 wires to transmit 8 bits.

When received, a serial to parallel converter can be used to convert the signal back to its original form.

Improving reproduction of the input signal

Increase sampling frequency to reduce the width of each step (space between samples)

Increase the number of bits per sample to allow for a more precise binary representation of the analog signal's initial voltage

Channels of communications

  • Wire pairs
  • Wire pairs

Wire pairs are normally used for phone lines, the potential difference between the wires is the signal. Each wire acts as an aerial and picks up unwanted noise. attenuation is high since energy is lost as heat due to the high resistance.

I need to do this later lol

Attenuation

The gradual decrease in the power of signal over distance

Measured in decibels, value is negative as it is a loss of power

dB=10log(PoutPin)dB = 10 * log(\frac{P_{out}}{P_{in}})
Attenuation per unit lengthLength\text{Attenuation per unit length} * Length

Signal-to-noise ratio (SNR)

dB=10log(PsignalPnoise)dB = 10 * log(\frac{P_{signal}}{P_{noise}})

Repeaters will amplify both signal and noise, and thus will not affect SNR. Attenuation WILL lower SNR, as the signal is getting weaker relative to noise.

Repeaters repeating a digital signal can remove noise and amplify the signal, improving SNR.

Satellites

For any satellite in constant orbital motion:

Fc(required)=Fg(provided)F_c\text{(required)} = F_g\text{(provided)}

as

Fc=mv2rF_c = \frac{mv^2}{r}

and

Fg=GMmr2F_g = \frac{GMm}{r^2}

and if $F_c = F_g$, then

GMmr2=mv2r\frac{GM\cancel{m}}{r^{\xcancel{2}}} = \frac{\cancel{m}v^2}{\cancel{r}}

Satellite communications

Carrier wave is transmitted from earth to the satellite, the signal is attenuated a lot and received. The signal is amplified and transmitted back to earth at a different carrier frequency, which will avoid "Swapping" of the highly attenuated signal by the high power transmission.

The Electromagnetic frequency used is very high (10GHz-30GHz) to prevent ionosphere reflections and to have a large information-carrying capacity.

Polar SatelliteGeostationary Satellite
Travels from pole to pole with a shorter periodGeostationary. Travels from west to east with the same orbital period as the earth (24 hours)
Able to cover the surface of the earthCan only cover $\frac13$ of the earth
Lower altitude 700km-800km (Cheaper to launch into space)Higher altitude 36000km
Lower latency (as closer to Earth), however, you will need to calculate or track its position to communicate with itHigher latency (takes approximately 0.5s for 1 signal to travel to and back again)
As lower, it is able to resolve smaller objects while imaging.As it remains in a fixed position above a point on the equator it can be used for continuous communication and weather

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