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- Publications
- Influence

The application of multiwavelet filterbanks to image processing

- V. Strela, P. N. Heller, G. Strang, P. Topiwala, C. Heil
- Computer Science, Mathematics
- IEEE Trans. Image Process.
- 1 April 1999

Multiwavelets are a new addition to the body of wavelet theory. Realizable as matrix-valued filterbanks leading to wavelet bases, multiwavelets offer simultaneous orthogonality, symmetry, and short… Expand

Theory of regular M-band wavelet bases

- P. Steffen, P. N. Heller, R. Gopinath, C. Burrus
- Mathematics, Computer Science
- IEEE Trans. Signal Process.
- 1 December 1993

Orthonormal M-band wavelet bases have been constructed and applied by several authors. This paper makes three main contributions. First, it generalizes the minimal length K-regular 2-band wavelets of… Expand

Teaching problem solving through cooperative grouping

- P. N. Heller, M. Hollabaugh
- Computer Science
- 1992

- 199
- 19

THE APPLICATION OF MULTIWAVELET FILTER BANKS TO IMAGE PROCESSING ∗

- V. Strela, P. N. Heller, G. Strang, P. Topiwala, C. Heil
- 1995

Multiwavelets are a new addition to the body of wavelet theory. Realizable as matrix-valued filter banks leading to wavelet bases, multiwavelets offer simultaneous orthogonality, symmetry, and short… Expand

- 157
- 17
- PDF

A general formulation of modulated filter banks

- P. N. Heller, T. Karp, T. Nguyen
- Computer Science, Mathematics
- IEEE Trans. Signal Process.
- 1 April 1999

This paper presents a general framework for maximally decimated modulated filter banks. The theory covers the known classes of cosine modulation and relates them to complex-modulated filter banks.… Expand

Lattice structure for regular paraunitary linear-phase filterbanks and M-band orthogonal symmetric wavelets

- S. Oraintara, Trac D. Tran, P. N. Heller, T. Nguyen
- Computer Science, Mathematics
- IEEE Trans. Signal Process.
- 1 November 2001

Parauninary linear-phase (PULP) M-channel uniform filterbanks, which are also known as the generalized lapped orthogonal transforms (GenLOTs), can be designed and implemented using lattice… Expand

Performance analysis of multicarrier modulation systems using cosine modulated filter banks

- Subbarao S. Govardhanagiri, T. Karp, P. N. Heller, T. Nguyen
- Computer Science
- IEEE International Conference on Acoustics…
- 15 March 1999

We compare the performance of biorthogonal cosine modulated transmultiplexer filter banks with today's multicarrier modulation systems whose transceivers are based on DFT. In contrast to early works… Expand

The Spectral Theory of Multiresolution Operators and Applications

- P. N. Heller, R. Wells
- Mathematics
- 1994

For any wavelet matrix of rank m and genus g there is an associated wavelet system with a square integrable scaling function and (m-1) wavelet functions; the fundamental scaling equation has mg… Expand

DMT systems, DWMT systems and digital filter banks

- M. A. Tzannes, M. Tzannes, J. Proakis, P. N. Heller
- Computer Science
- Proceedings of ICC/SUPERCOMM'94 - International…
- 1 May 1994

A multicarrier modulation system called discrete multitone (DMT) was chosen by the American National Standards Institute (ANSI) as a working standard for asymmetric digital subscriber line (ADSL)… Expand

Wavelet matrices and the representation of discrete functions

- P. N. Heller, H. L. Resnikoff, R. Wells
- Mathematics
- 1 September 1993

Abstract . This paper includes a formulation of the notion of wavelet matrices and their fundamental invariants. These arise as coefficient systems which define compactly supported wavelet systems… Expand