Kitplus Magazine

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“Theres a constant trade-off in RF between link quality and stability.” allowing the same binary sequence that was transmitted to be received and decoded back in to the original binary sequence. Next in line we have ASK, or Amplitude Shift Keying - which again uses a variation in the carrier to defi ne between a ‘1’ and a ‘0’ state, but this time via the modifi cation of the overall signal amplitude (in our example, we’ve set the low amplitude signal to represent a binary high, or ‘1’.) Finally, we have PSK - or Phase Shift Keying, in which changing the phase of the signal (i.e. interrupting the natural ‘fl ow’ of the sine wave to start / continue it again from another point / angle) is used to defi ne between the ‘0’ and ‘1’ in the decoder / receiver (note in the previous image how the ‘1’ state is achieved once the sine has it’s phase altered mid-cycle.) This, of course, provides the fl oor of only providing one binary digit (or bit) per symbol, meaning that for higher data rates very high frequencies have to be used. However, by combining a few of the aforementioned techniques, more bits can be added to each symbol. This can be identifi ed through another term often thrown around in wireless world - ‘QAM’; more commonly denoted as ’16-QAM’, ’32-QAM’ or even ’64-QAM’. In this instance, let’s look at 16-QAM (or 16-State Quadrature Amplitude Modulation). Firstly, looking back at PSK - we spoke about altering phase in order to change the data output of the carrier. Studying Figure two (top half), we can see that phase can be determined by where the sine wave starts (hence the red ‘0 degrees’ wave starts as zero, whereas the green ’90 degrees’ wave starts at the 90 degree point on the graph). With this in mind, we can modulate the phase of a signal to point at one of the 4-bit binary nibbles (i.e. 45 degrees for 1010 and 1111, 15 degrees for 1011 etc, as per the bottom half of fi g. 2, ensuring to work from the horizontal plane, anti-clockwise as we are working in radians). You may have already noticed that this doesn’t completely resolve the problem though - note how the 45 degree modulation would give us two different symbols? This is true for another point on the map as well - and that is why we also use the ASK fundamentals in this mode of modulation. For example, if you wanted to point at 1111 (red arrow), you’d use the 45deg PSK, and, say, 20% of the full signal amplitude (which can be imagined by drawing a circle around the outside of the 16-QAM Gray Code Map - where touching the circle would require 100% of the original amplitude.) If you wanted to hit 1010 (blue arrow) therefore, you’d use the 45Deg PSK - but this time use Fig.2. Sine waves with their relative angles and a 16-QAM Gray Code Binary Map 100% of the permitted signal amplitude in the ASK realm, allowing you the ability to hit the desired symbol. It doesn’t take much imagination to subsequently fi gure out how 32-QAM and 64-QAM systems work. In a nutshell, they simply have more ‘layers’ in both the angle and amplitude domains, allowing for an even greater number of bits to be transmitted per symbol (although do consider that, as the spacing between the bits is considerably smaller, the chances of an error being induced is considerably higher - so there is a trade off between quality (more bits per symbol) - and reliability (allowing enough space between each set of ‘bits’ to ensure that interference induced into the signal doesn’t cause a false reading). So, where exactly does COFDM come in to all of this? As is, looking at just using a 16-QAM system, considering that each symbol contains just 4 bits - and that the average frame can be a up to a few hundred of Kilobytes in size (assuming compression is in use and there are 25 frames in a second) - it can be seen that a lot of ‘symbols’ - potentially hundreds of thousands - need to be sent every second - which means the ‘symbol time’ (or the time window in which each unique ‘nibble’ of information is received on its own before the next one arrives) must be very small indeed. But what about multi path? We’ve already established that not all of the signal will travel directly to the receiver, and some of it will bounce off of physical object such as buildings, vehicles and people - delaying its journey. Now we run the risk of the symbols ‘clashing’ with each other (if you’ll pardon the pun) as a result of the ‘delayed’ information running ‘late’. KITPLUS - THE TV-BAY MAGAZINE: ISSUE 96 DECEMBER 2014 | 71