Dynamic cepstral features such as delta and deltadelta cepstra have been shown to play an essential role in capturing the transitional characteristics of the speech signal. In this paper, a set of new dynamic features for speaker verification system are introduced. These new features, known as Delta Cepstral Energy (DCE) and Delta-Delta Cepstral Energy (DDCE), can compactly represent the information in the delta and delta-delta cepstra. Furthermore, it is shown theoretically that DCE carries the same information as the delta cepstrum using an entropy criterion. Experimental speaker verification results on the TIMIT database support the theoretical result, showing a significant improvement in terms of equal error rate compared with conventional feature extraction methods using delta and delta-delta cepstra.