Maximum Length Ternary Signal Design Based on Nyquist Point Mapping

The design of ternary pseudo random maximum length signals suitable for system identification under noisy conditions is considered, where the power content in the specified harmonics should be high. Signal levels conversion for mapping a maximum length sequence in the Galois field into three signal levels is proposed such that the primitive version of the signal has only one nonzero harmonic at the Nyquist frequency. If the primitive signal is subsequently used in the design of a maximum length signal of a larger period, this will result in the latter having high power concentrated at the nonzero harmonics.