Performance Measures for Convolutional Codes

[x]i = (x (0) 0 , . . . , x (k−1) 0 , x (0) 1 , . . . , x (k−1) 1 , . . . , x (0) i−1, . . . , x (k−1) i−1 ), [y]i = (y (0) 0 , . . . , y (n−1) 0 , y (0) 1 , . . . , y (n−1) 1 , . . . , y (0) i−1, . . . , y (n−1) i−1 ). The column distance function (CDF) di is the minimum Hamming distance between all pairs of output sequences truncated at length i given that the input sequences differ in the first k bits: