  In this paper, we propose a novel family of windowing technique to compute
Mel Frequency Cepstral Coefficient (MFCC) for automatic speaker recognition
from speech. The proposed method is based on fundamental property of discrete
time Fourier transform (DTFT) related to differentiation in frequency domain.
Classical windowing scheme such as Hamming window is modified to obtain
derivatives of discrete time Fourier transform coefficients. It has been
mathematically shown that the slope and phase of power spectrum are inherently
incorporated in newly computed cepstrum. Speaker recognition systems based on
our proposed family of window functions are shown to attain substantial and
consistent performance improvement over baseline single tapered Hamming window
as well as recently proposed multitaper windowing technique.
