Question

Explain Euclidean distance, Asymptotic coding gain of trellis coded Modulation.

Answer 1

⏯️⏯️the Euclidean distance or Euclidean metric is the "ordinary" straight-line distance between two points in Euclidean space. With this distance, Euclidean space becomes a metric space. The associated norm is called the Euclidean norm. Older literature refers to the metric as the Pythagorean metric.

⏯️⏯️The distance structure due to set partitioning introduced above can be effectively used in the design of trellis coded modulation. Suppose that the target asymptotic coding gain is 3.0 dB over the uncoded QPSK with d min ( QPSK ) = 2.0 .One simple example of encoder for trellis coded modulation