Spectrum and phase

 

In this chapter we will examine

• $90^{\circ}$ phase shift, analytic signal, and Hilbert transform.
• spectral factorization, i.e., finding a minimum-phase wavelet to fit any spectrum.
• a ``cookbook'' for Butterworth causal bandpass filters.
• phase delay, group delay, and beating.
• where the name ``minimum phase'' came from.
• what minimum phase implies for energy delay.