B. Falkowski

发表

Efficient computation of quaternary fixed polarity Reed-Muller expansions

S. Rahardja, B. Falkowski, 1995 .

Generalised hybrid arithmetic canonical expansions for completely specified quaternary functions

S. Rahardja, B. Falkowski, 1997 .

Fastest classes of linearly independent transforms over GF(3) and their properties

B. Falkowski, Cheng Fu, 2005 .

Generalised k-variable-mixed-polarity Reed-Muller expansions for system of Boolean functions and their minimisation

Chip-Hong Chang, B. Falkowski, 2000 .

Linearly independent ternary arithmetic helix transforms, their properties and relations

B. Falkowski, Cheng Fu, 2006 .

Family of unified complex Hadamard transforms

S. Rahardja, B. Falkowski, 1999 .

Detection of Boolean symmetries using complex Hadamard transformation

S. Rahardja, B. Falkowski, 1997, Proceedings of 1997 IEEE International Symposium on Circuits and Systems. Circuits and Systems in the Information Age ISCAS '97.

Multi-polarity complex hadamard transforms for phase watermarking algorithm

B. Falkowski, 2007, 2007 6th International Conference on Information, Communications & Signal Processing.

Image watermarking using Hadamard transforms

B. Falkowski, L. Lim, 2000 .

Hadamard–Walsh spectral characterization of Reed–Muller expansions

Chip-Hong Chang, B. Falkowski, 1999 .

A novel paired Haar based transform: algorithms and interpretations in Boolean domain

Chip-Hong Chang, Bogdan J. Falkowski, Chip-Hong Chang, 1993, Proceedings of 36th Midwest Symposium on Circuits and Systems.

Properties and ways of calculation of multi-polarity generalized Walsh transforms

B. J. Falkowski, B. Falkowski, 1994 .

Properties and applications of paired Haar transform

Chip-Hong Chang, Bogdan J. Falkowski, Chip-Hong Chang, 1997, Proceedings of ICICS, 1997 International Conference on Information, Communications and Signal Processing. Theme: Trends in Information Systems Engineering and Wireless Multimedia Communications (Cat..

Properties and methods of calculating generalised arithmetic and adding transforms

Chip-Hong Chang, B. J. Falkowski, Chip-Hong Chang, 1997 .

Generation of quasi-optimal FBDDs through paired Haar spectra

Chip-Hong Chang, Bogdan J. Falkowski, Chip-Hong Chang, 1998, ISCAS '98. Proceedings of the 1998 IEEE International Symposium on Circuits and Systems (Cat. No.98CH36187).

Calculation of paired Haar spectra for systems of incompletely specified Boolean functions

Chip-Hong Chang, Bogdan J. Falkowski, Chip-Hong Chang, 1998, ISCAS '98. Proceedings of the 1998 IEEE International Symposium on Circuits and Systems (Cat. No.98CH36187).

Paired Haar spectra computation through operations on disjoint cubes

Chip-Hong Chang, Bogdan J. Falkowski, Chip-Hong Chang, 1999 .

Complex composite spectra of Unified Complex Hadamard transform for logic functions

S. Rahardja, B. Falkowski, 2000 .

Complex decision diagrams

Bogdan J. Falkowski, S. Rahardja, S. Rahardja, 1996 .

Classifications and graph-based representations of switching functions using a novel complex spectral technique

Susanto Rahardja, Bogdan J. Falkowski, S. Rahardja, 1997 .

Classification and properties of fast linearly independent logic transformations

Susanto Rahardja, Bogdan J. Falkowski, S. Rahardja, 1997 .

Hybrid multi-polarity arithmetic-Walsh transform

Shixing Yan, B. J. Falkowski, B. Falkowski, 2006 .

Fast algorithms between arithmetic and Hadamard-Haar transforms

B. Falkowski, Shixing Yan, 2005, 48th Midwest Symposium on Circuits and Systems, 2005..

Hybrid arithmetic-Walsh transform

B. Falkowski, Shixing Yan, 2003, Fourth International Conference on Information, Communications and Signal Processing, 2003 and the Fourth Pacific Rim Conference on Multimedia. Proceedings of the 2003 Joint.

Relationship between arithmetic and Haar wavelet transforms in the form of layered Kronecker matrices

Bogdan J. Falkowski, B. Falkowski, 1999 .

Recursive relations and fast flow diagram for nonlinear quantised transform

S. Rahardja, B. Falkowski, 1998 .

Family of generalised multi-polarity complex Hadamard transforms

B. J. Falkowski, B. Falkowski, 1998 .

Properties of Boolean functions in spectral domain of sign Haar transform

Susanto Rahardja, B. J. Falkowski, S. Rahardja, 1997, Proceedings of ICICS, 1997 International Conference on Information, Communications and Signal Processing. Theme: Trends in Information Systems Engineering and Wireless Multimedia Communications (Cat..

Algorithms for fast Reed-Muller transform

S. Rahardja, B. Falkowski, B.J. Falkowski, 1997, Proceedings of 1997 IEEE International Symposium on Circuits and Systems. Circuits and Systems in the Information Age ISCAS '97.

Fast generalized arithmetic and adding transforms

Chip-Hong Chang, Bogdan J. Falkowski, Chip-Hong Chang, 1995, Proceedings of ASP-DAC'95/CHDL'95/VLSI'95 with EDA Technofair.

Application of Sign Haar Transform in a ternary communication system

Bogdan J. Falkowski, S. Rahardja, S. Rahardja, 1995 .

Algorithm and architecture for Gray code ordered fast Walsh transform

Marek Perkowski, B. J. Falkowski, B. Falkowski, 1990, IEEE International Symposium on Circuits and Systems.

A family of all essential Radix-2 addition/subtraction multi-polarity transforms: algorithms and interpretations in Boolean domain

Marek Perkowski, B. J. Falkowski, B. Falkowski, 1990, IEEE International Symposium on Circuits and Systems.

Comparative Study of Discrete Orthogonal Transforms in Adaptive Signal Processing (Special Section on Digital Signal Processing)

S. Rahardja, B. Falkowski, 1999 .

Symmetry conditions of Boolean functions in complex Hadamard transform

Bogdan J. Falkowski, B. Falkowski, S. Rahardia, 1998 .

Complex Hadamard Transforms: Properties,Relations and Architecture

Susanto Rahardja, Bogdan J. Falkowski, S. Rahardja, 2004 .

Operations on Boolean functions and variables in spectral domain of arithmetic transform

Chip-Hong Chang, Bogdan J. Falkowski, Chip-Hong Chang, 1996, 1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96.

One more way to calculate the Hadamard-Walsh spectrum for completely and incompletely specified boolean functions

Marek Perkowski, B. J. Falkowski, B. Falkowski, 1990 .

An efficient computer algorithm for the calculation of the Walsh transform for incompletely specified multiple-valued binary functions†

B. Falkowski, M. Perkowski, I. Schafer, 1993 .

An efficient computer algorithm for the calculation of Walsh transform for completely and incompletely specified multiple-valued input binary functions

B. Falkowski, M. Perkowski, I. Schafer, 1991, [1991] Proceedings of the 34th Midwest Symposium on Circuits and Systems.

Efficient algorithm for the generation of fixed polarity quaternary Reed-Muller expansions

Susanto Rahardja, Bogdan J. Falkowski, S. Rahardja, 1995, Proceedings 25th International Symposium on Multiple-Valued Logic.

Generalized Haar Spectral Representations and Their Applications

B. Falkowski, 2000 .

New sign Hadamard-/spl gamma/-Haar-/spl chi/ transform in ternary communication system

B. Falkowski, Shixing Yan, 2005, 48th Midwest Symposium on Circuits and Systems, 2005..

Modified sign Haar transform

B. Falkowski, Shixing Yan, 2004, The 2004 47th Midwest Symposium on Circuits and Systems, 2004. MWSCAS '04..

Application of Sign Hadamard-Haar Transform in Ternary Communication System

B. Falkowski, Shixing Yan, 2003 .

Properties and calculation of Paired Haar transform

Chip-Hong Chang, B. Falkowski, 1999, Approximation Theory and its Applications.

Generalized Walsh transform and its interpretation for digital circuits

B. Falkowski, 1993 .

Fast Mixed Linearly Independent Arithmetic Logic Transforms for Multiple-Valued Functions

Susanto Rahardja, Bogdan J. Falkowski, S. Rahardja, 2004, J. Multiple Valued Log. Soft Comput..

ALGORITHMS FOR CALCULATION OF FIXED-POLARITY REED-MULLER EXPANSIONS OVER GF ( 5 )

C. C. Lozano, S. Rahardja, B. Falkowski, 2004 .

Efficient calculations of composite spectra for arithmetic and Reed-Muller transforms

B. Falkowski, Shixing Yan, 2005, 48th Midwest Symposium on Circuits and Systems, 2005..

Kronecker based fixed polarity transforms over GF(3)

B. Falkowski, Cheng Fu, 2004, The 2004 IEEE Asia-Pacific Conference on Circuits and Systems, 2004. Proceedings..

Novel classes of linearly independent transforms for ternary logic functions

B. Falkowski, Cheng Fu, 2004, The 2004 IEEE Asia-Pacific Conference on Circuits and Systems, 2004. Proceedings..

Linearly independent helix transforms over GF(3)

B. Falkowski, Cheng Fu, 2004, The 2004 IEEE Asia-Pacific Conference on Circuits and Systems, 2004. Proceedings..

PLI logic for multiple-valued functions

S. Rahardja, B. Falkowski, 2001 .

Application of linearly independent arithmetic transform in testing of digital circuits

Susanto Rahardja, Bogdan J. Falkowski, S. Rahardja, 1999 .

The Haar wavelet transform: its status and achievements

Radomir S. Stankovic, Bogdan J. Falkowski, R. Stankovic, 2003, Comput. Electr. Eng..

Cost-Efficient Synthesis for Sequential Circuits Implemented Using Embedded Memory Blocks of FPGA's

Tadeusz Luba, Bogdan J. Falkowski, Grzegorz Borowik, 2007, 2007 IEEE Design and Diagnostics of Electronic Circuits and Systems.

Two learning methods for a tree-search combinatorial optimizer

Marek Perkowski, P. Dysko, B. J. Falkowski, 1990, Ninth Annual International Phoenix Conference on Computers and Communications. 1990 Conference Proceedings.

Multiple-valued and spectral approach to lossless compression of binary, gray scale and color biomedical images

Bogdan J. Falkowski, Beata T. Olejnicka, B. Falkowski, 2002, Proceedings 32nd IEEE International Symposium on Multiple-Valued Logic.

Reed-Muller weight and literal vectors for NPN classification

Chip-Hong Chang, Bogdan J. Falkowski, Chip-Hong Chang, 1999, ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349).

An exact minimizer of fixed polarity Reed-Muller expansions

Chip-Hong Chang, Bogdan J. Falkowski, Chip-Hong Chang, 1995 .

Boolean Matching Filters Based on Row and Column Weights of Reed-Muller Polarity Coefficient Matrix

Chip-Hong Chang, Bogdan J. Falkowski, Chip-Hong Chang, 2002, VLSI Design.

Relationship between Haar wavelet and Reed-Muller spectra

Bogdan J. Falkowski, B. Falkowski, 2003, Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03..

Mutual transformations between Haar wavelet and arithmetic spectra

Bogdan J. Falkowski, B. Falkowski, 2002, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353).

Skew symmetry detection using the Walsh spectral coefficients

Bogdan J. Falkowski, Sudha Kannurao, B. Falkowski, 2000, 2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353).

Digital signal processing with complex Hadamard transform

S. Rahardja, B. Falkowski, 1998, ICSP '98. 1998 Fourth International Conference on Signal Processing (Cat. No.98TH8344).

Mutual relations between arithmetic and Haar functions

B. J. Falkowski, B. Falkowski, B. Falkowski, 1998, ISCAS '98. Proceedings of the 1998 IEEE International Symposium on Circuits and Systems (Cat. No.98CH36187).

Fast multi-polarity complex Hadamard transform for logic functions

Bogdan J. Falkowski, B. Falkowski, 1998, Proceedings. 1998 28th IEEE International Symposium on Multiple- Valued Logic (Cat. No.98CB36138).

Family of complex Hadamard transforms: relationship with other transforms and complex composite spectra

Susanto Rahardja, Bogdan J. Falkowski, S. Rahardja, 1997, Proceedings 1997 27th International Symposium on Multiple- Valued Logic.

Properties and applications of unified complex Hadamard transforms

B.J. Falkowski, S. Rahardja, S. Rahardja, 1997, Proceedings 1997 27th International Symposium on Multiple- Valued Logic.

Walsh-like functions and their relations

Bogdan J. Falkowski, S. Rahardja, S. Rahardja, 1996 .

Sign Haar Transform

Susanto Rahardja, Bogdan J. Falkowski, S. Rahardja, 1994, Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94.

Efficient Algorithms for Forward and Inverse Transformations between Haar Spectrum and Binary Decisi

Bogdan J. Falkowski, Chip-Hong Chang, Chip-Hong Chang, 1994, Proceeding of 13th IEEE Annual International Phoenix Conference on Computers and Communications.

Generation of Gray code ordered Walsh functions by symmetric and shift copies

Bogdan J. Falkowski, B. Falkowski, 1993, 1993 IEEE International Symposium on Circuits and Systems.

Walsh type transforms for completely and incompletely specified multiple-valued input binary functions

Bogdan J. Falkowski, Marek A. Perkowski, B. Falkowski, 1990, Proceedings of the Twentieth International Symposium on Multiple-Valued Logic.

Phase Watermarking Algorithm using Hybrid Multi-Polarity Hadamard Transform

Bogdan J. Falkowski, B. Falkowski, 2007, Journal of Mathematical Imaging and Vision.

Logic synthesis method for pattern matching circuits implementation in FPGA with embedded memories

Tadeusz Luba, Bogdan J. Falkowski, Grzegorz Borowik, 2009, 2009 12th International Symposium on Design and Diagnostics of Electronic Circuits & Systems.

Lossless binary image compression using logic functions and spectra

Bogdan J. Falkowski, B. Falkowski, 2004, Comput. Electr. Eng..

Properties of Logic Functions in Spectral Domain of Sign Hadamard-Haar Transform

Bogdan J. Falkowski, Shixing Yan, B. Falkowski, 2005, J. Multiple Valued Log. Soft Comput..

Effective computer methods for the calculation of Rademacher-Walsh spectrum for completely and incompletely specified Boolean functions

Bogdan J. Falkowski, Marek A. Perkowski, Ingo Schäfer, 1992, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

Algorithm for the generation of disjoint cubes for completely and incompletely specified boolean functions

Marek Perkowski, B. J. Falkowski, B. Falkowski, 1991 .

Spectral Methods for Boolean and Multiple-Valued Input Logic Functions

B. Falkowski, Bogdan Jaroslaw Falkowski, 1991 .

Matrix decomposition and butterfly diagrams for mutual relations between Hadamard-Haar and arithmetic spectra

Bogdan J. Falkowski, Shixing Yan, B. Falkowski, 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

Ordered and shared, linearly-independent, variable-pair decision diagrams

R. Drechsler, L. Jozwiak, M. Perkowski, 1997, Proceedings of ICICS, 1997 International Conference on Information, Communications and Signal Processing. Theme: Trends in Information Systems Engineering and Wireless Multimedia Communications (Cat..

Efficient Algorithms for Creation of Linearly-independent Decision Diagrams and their Mapping to Regular Layouts

Rolf Drechsler, Malgorzata Chrzanowska-Jeske, Bogdan J. Falkowski, 2002, VLSI Design.

Spectral Interpretation and Applications of Decision Diagrams

Radomir S. Stankovic, Bogdan J. Falkowski, R. Stankovic, 2000, VLSI Design.

Ternary Walsh Transform and Its Operations for Completely and Incompletely Specified Boolean Functions

Bogdan J. Falkowski, Shixing Yan, B. Falkowski, 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

Generalized Fastest LIA Transform Spectra Calculation by Systolic Processor

Susanto Rahardja, Bogdan J. Falkowski, Cicilia C. Lozano, 2006, 2006 IEEE International Symposium on Information Theory.

Ternary Fixed Polarity Linear Kronecker Transforms and their Comparison with Ternary Reed-muller Transform

Cheng Fu, Bogdan J. Falkowski, B. Falkowski, 2005, J. Circuits Syst. Comput..

Generation and properties of new fastest linearly independent transforms over GF(2) with reordering

Susanto Rahardja, Bogdan J. Falkowski, Cicilia C. Lozano, 2005, 2005 IEEE International Symposium on Circuits and Systems.

Quaternary Fixed-Polarity Reed-Muller expansion computation through operations on disjoint cubes and its comparison with other methods

Bogdan J. Falkowski, Cicilia C. Lozano, C. C. Lozano, 2005, Comput. Electr. Eng..

Multi-polarity helix transform over GF(3)

Cheng Fu, Bogdan J. Falkowski, B. Falkowski, 2004, 2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512).

Compact representations of logic functions for lossless compression of grey-scale images

B. J. Falkowski, B. Falkowski, 2004 .

Spectral Testing of Digital Circuits

Bogdan J. Falkowski, B. Falkowski, 2002, VLSI Design.

Disjoint Cubes Generation Algorithm for Multiple-Valued Functions

Susanto Rahardja, Bogdan J. Falkowski, Cicilia C. Lozano, 2006, APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems.

Generation of disjoint cubes for multiple-valued functions

Susanto Rahardja, Bogdan J. Falkowski, Cicilia C. Lozano, 2004, 2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512).

Generation of sign Walsh spectra from disjoint cubes of Boolean functions

Bogdan J. Falkowski, Sudha Kannurao, B. Falkowski, 2002, Comput. Electr. Eng..

Calculation of the paired Haar transform through shared binary decision diagrams

Dragan Jankovic, Radomir S. Stankovic, Bogdan J. Falkowski, 2003, Comput. Electr. Eng..

A Note on the Polynomial Form of Boolean Functions and Related Topics

Bogdan J. Falkowski, B. Falkowski, 1999, IEEE Trans. Computers.

In-place transformation of generalized and complex spectra through algebraic decision diagrams

Chip-Hong Chang, B. Falkowski, 1997, Proceedings of ICICS, 1997 International Conference on Information, Communications and Signal Processing. Theme: Trends in Information Systems Engineering and Wireless Multimedia Communications (Cat..

Family of fast mixed arithmetic logic transforms for multiple-valued input binary functions

Susanto Rahardja, Bogdan J. Falkowski, S. Rahardja, 1996, Proceedings of 26th IEEE International Symposium on Multiple-Valued Logic (ISMVL'96).

Spectral Transforms Calculation through Decision Diagrams

Radomir S. Stankovic, Bogdan J. Falkowski, R. Stankovic, 2002, VLSI Design.

An Efficient Algorithm for the Calculation of Generalized Adding and Arithmetic Transforms From Disjoint Cubes of Boolean Functions

Chip-Hong Chang, Bogdan J. Falkowski, Chip-Hong Chang, 1999, VLSI Design.

Generation of multi-polarity arithmetic transform from reduced representation of Boolean functions

Chip-Hong Chang, Bogdan J. Falkowski, Chip-Hong Chang, 1995, Proceedings of ISCAS'95 - International Symposium on Circuits and Systems.

Efficient algorithms for the calculation of arithmetic spectrum from OBDD and synthesis of OBDD from arithmetic spectrum for incompletely specified Boolean functions

Chip-Hong Chang, Bogdan J. Falkowski, Chip-Hong Chang, 1994, Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94.

Forward and Inverse Transformations Between Haar Spectra and Ordered Binary Decision Diagrams of Boolean Functions

Chip-Hong Chang, Bogdan J. Falkowski, Chip-Hong Chang, 1997, IEEE Trans. Computers.

Haar spectra-based entropy approach to quasi-minimisation of FBDDs

Chip-Hong Chang, Bogdan J. Falkowski, Chip-Hong Chang, 1999 .

An algorithm for the calculation of generalized Walsh transform of Boolean functions

Bogdan J. Falkowski, B. Falkowski, 1993, 1993 IEEE International Symposium on Circuits and Systems.

Properties of Logic Functions in Spectral Domain of Sign Hadamard-Haar Transform

B. Falkowski, Shixing Yan, 2005, J. Multiple Valued Log. Soft Comput..

Mutual conversions between generalised arithmetic expansions and free binary decision diagrams

Chip-Hong Chang, B. J. Falkowski, Chip-Hong Chang, 1998 .

Calculation of arithmetic spectra from free binary decision diagrams

Chip-Hong Chang, Bogdan J. Falkowski, Chip-Hong Chang, 1997, Proceedings of 1997 IEEE International Symposium on Circuits and Systems. Circuits and Systems in the Information Age ISCAS '97.