In an embodiment, state of a wireless channel on which information is received is measured; the measured state is used to select from a codebook a plurality of N codewords which optimize a predefined measure, and first and second codewords of the plurality are reported which best optimizes and next-best optimizes the predefined measure. If by example the above is done by a user equipment UE, in another embodiment the network receives first and second indications, searches a codebook using the first and second indications to find the first and second codewords; and utilizes them to improve the channel state information, such as by interpolating between them to find an estimate of the channel. In examples the channel is a MIMO channel that is estimated at two or more antenna ports, there are interpolation weights sent with the codeword indications, and the interpolating uses a geodesic algorithm.