CHAPTER 8 Wavelet Packet and Local Cosine Bases

Different types of time-frequency structures are encountered in complex signals such as speech recordings. This motivates the design of bases with time-frequency properties that may be adapted. Wavelet bases are one particular family of bases that represent piecewise smooth signals effectively. Other time-frequency bases are constructed to approximate different types of signals such as audio recordings.

Orthonormal wavelet packet bases are computed with conjugate mirror filters that divide the frequency axis in separate intervals of various sizes. Different conjugate mirror filter banks correspond to different wavelet packet bases. If the signal properties change over time, it is preferable to ...

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