Various aspects of the present disclosure generally relate to wireless communication. In some aspects, a network node may apply a precoding operation to a downlink physical channel. The network node may obtain a plurality of coefficients associated with a non-linearity of the downlink physical channel in accordance with estimating a cross-correlation of a plurality of power delay profiles associated with the precoding operation. The network node may precode a physical downlink shared channel communication in accordance with a result of the precoding operation. The network node may transmit the plurality of coefficients via a physical downlink control channel communication. Numerous other aspects are described.