Is capacity of gaussian channel is equivalent to shannon hartley theorem?

Yes, the capacity of a Gaussian channel is indeed described by the Shannon-Hartley theorem. This theorem states that the maximum data rate (capacity) ( C ) of a communication channel with bandwidth ( B ) and signal-to-noise ratio ( SNR ) is given by the formula ( C = B \log_2(1 + SNR) ). It quantifies the limits of reliable communication over a Gaussian channel, making it a fundamental result in information theory.