Digital waveform codings for ocean acoustic telemetry

M-sequence waveform coding with a single long codeword has been considered as the basis for long-range underwater acoustic telemetry for one user. (An m-sequence is a periodic, binary, linear-law maximal-length sequence. If the span of the law is n, the maximal length L-2ⁿ=1). For a given law, a single m-sequence transmits a maximum of log₂ (L) bits of source information per channel word. To increase the number of bits per word, families of m-sequences and Gold codes are considered and compared to a single m-sequence. A hypothetical idealized multipath channel with added white Gaussian noise is assumed. Coding using families of m-sequences is recommended because it requires a smaller bit-energy-to-noise ratio than other waveform codes to achieve an equivalent codeword error probability