Subband coding of cyclostationary signals with static bit allocation

We consider the optimal orthonormal subband coding of zero mean wide sense cyclostationary signals (WSCS), with N-periodic second order statistics. An M-channel uniform filter bank, with N-periodic analysis and synthesis filters, is used as the subband coder. A static bit allocation scheme is used. An average variance condition is used to measure the output distortion. The conditions for maximizing the coding gain parallel those for the case when the signals are wide sense stationary (WSS) and the analysis and synthesis filters and the bit allocation time invariant, in that the subband signals must be mutually decorrelated, and the sum of the power spectral densities of the blocked suband signal in different channels must obey an ordering. This contrasts to the recently studied 2-channel WSCS case, involving a dynamic, periodically varying bit allocation scheme where even the blocked subband signals of the same channel must be mutually decorrelated.