Patent ID: 8295387

Claim:
An encoding and decoding method that generates an encoding preamble with at least two pairs of orthogonal complementary sequences in order to minimize distortion of a signal transmitted through a medium, the method comprising the steps of: generating a first orthogonally complementary sequence pair A 1 , B 1 and a second orthogonally complementary sequence pair A 2 , B 2 , wherein each sequence is of the length L; applying the first orthogonally complementary sequence A 1 of the first orthogonally complementary pair A 1 , B 1 to an in phase portion i of a signal at time t 1 and simultaneously applying the first orthogonally complementary sequence A 2 of the second orthogonally complementary pair A 2 , B 2 to a quadrature phase portion q of the signal at time t 1 ; applying the second orthogonally complementary sequence B 1 of the first orthogonally complementary pair A 1 , B 1 to the in phase portion i of the signal at time t 2 , and simultaneously applying the second orthogonally complementary sequence B 2 of the second orthogonally complementary pair A 2 , B 2 to the quadrature phase portion q of the signal at time t 2 ; and emitting a resulting signal by means of quadrature modulation through a transmission medium over a channel and calculating filter coefficients by the equations: H I =I*A 1 +I*B 1 +N I /2 L H Q =Q*A 2 +Q+B 2 +N Q /2 L i IQ =Q*A 1 +Q+B 1 +N Q /2 L i QI =I*A 2 +I+B 2 +N 1 /2 L wherein * is a correlation operator, I is an in phase portion of a resulting signal that is received after transmission, Q is a quadrature phase portion of a resulting signal that is received after transmission, N I is received noise in the in phase portion I, and N Q is received noise in the quadrature phase portion Q, and wherein use of the filter coefficients with appropriate filters allows distortion associated with the transmission medium to be identified, minimized, and/or eliminated.