Abstract : The enumeration problem of lattice vectors in a lattice codebook shaped for elliptical source statistics is solved. The counting of codebook vectors is crucial for the computation of the bit rate, i.e. for the determining the codeword lengths to be transmitted to the decoder.
Jean-Marie Moureaux, Marc Antonini, Michel Barlaud. Counting lattice points on ellipsoids: application to Image coding. Electronics Letters, IET, 1995, 31 (15), pp.1224-1225. <10.1049/el:19950856>. <hal-01322222>