For the Trellis and State Table given bellow decode the following Received Sequence Using SOFT decoding

Hint: it involves commuting the EUCLIDEAN DISTANCE

I have attached a separate picture for EUCLIDEAN DISTANCE COMPUTATION HINT.

The received sequence = 1+0.5j -0.9+0.5j -0.5+0.5j -0.5+0.5j -0.7+0.3j

Input Present state Next state Output So So 00 1 So Si 11 0 Si 1 52 S3 Si 52 01 0 So 1 Sq 00 Si S2 0 S3 01 53 10 53 Trellise oloo So To Si 1100S, olio Si olol S3 1/10 53 (present Stater) (Next states). next states from the connect the present state to table boy comoedering input a 'o' and opet & output below the inpete. -> write CS Scanned with CamScanner . Soft decoding 1+0.5j --- (1,0.5) -0.9+0.5j --- (-0.9,0.5) -0.5+0.5j --- (-0.5,0.5) -0.5+0.5j --- (-0.5,0.5) -0.7+0.3j --- (-0.7,0.3) . Euclidean Distance (1,0.5) and (0,0) X d=/(x - x) + (8,- y.) Input Present state Next state Output So So 00 1 So Si 11 0 Si 1 52 S3 Si 52 01 0 So 1 Sq 00 Si S2 0 S3 01 53 10 53 Trellise oloo So To Si 1100S, olio Si olol S3 1/10 53 (present Stater) (Next states). next states from the connect the present state to table boy comoedering input a 'o' and opet & output below the inpete. -> write CS Scanned with CamScanner . Soft decoding 1+0.5j --- (1,0.5) -0.9+0.5j --- (-0.9,0.5) -0.5+0.5j --- (-0.5,0.5) -0.5+0.5j --- (-0.5,0.5) -0.7+0.3j --- (-0.7,0.3) . Euclidean Distance (1,0.5) and (0,0) X d=/(x - x) + (8,- y.)