Frame Bounds for Biorthogonal Cosine-modulated Filter Banks


In this paper, we derive explicit expressions for the eigenvalues of the frame operator for cosine-modulated filter banks. The filter banks may be critically sampled or oversampled by an integer factor. The analysis of low-delay, biorthogonal filter banks shows that prototypes solely designed to minimize the stopband energy may lead to wide open frames and thus to an undesirable numerical behavior. Because the computational cost of determining the frame bounds with the proposed method is very low, we can directly use the bounds during prototype optimization and obtain prototypes with minimum stopband energy under the condition of fixed frame bounds.

Original languageEnglish
Title of host publication2002 IEEE International Conference on Acoustics, Speech, and Signal Processing
Number of pages4
Publication date11.07.2002
ISBN (Print)0-7803-7402-9
Publication statusPublished - 11.07.2002
Event2002 IEEE International Conference on Acoustic, Speech and Signal Processing - Orlando, United States
Duration: 13.05.200217.05.2002
Conference number: 59255


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