Efficient subband encoding of magnitude/phase spectra

For certain types of signals, perfect reconstruction is not essential. It is sufficient to have knowledge of either the magnitude or the phase spectrum only. Filter banks which introduce phase distortion are used for encoding speech signals. These schemes have an inherent redundancy; i.e., the samples are still transmitted at the sampling rate. It is shown how magnitude or phase information can be encoded at only half the sampling rate in a filter bank formalism.<>