Walsh Type Transforms for Completely and Incompletely Specified Multiple-Valued Input Binary Functions. - Bogdan J. Falkowski; Marek A. Perkowski (ISMVL, 1990)

Calculation of the Rademacher-Walsh spectrum from a reduced representation of Boolean functions. - Bogdan J. Falkowski; Ingo Schäfer; Marek A. Perkowski (EURO-DAC, 1992)

Effective computer methods for the calculation of Rademacher-Walsh spectrum for completely and incompletely specified Boolean functions. - Bogdan J. Falkowski; Ingo Schäfer; Marek A. Perkowski (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 1992)

Generation of gray code ordered Walsh functions by symmetric and shift copies. - Bogdan J. Falkowski (ISCAS, 1993)

An Algorithm for the Calculation of Generalized Walsh Transform of Boolean Functions. - Bogdan J. Falkowski (ISCAS, 1993)

Calculation of Rademacher-Walsh Spectral Coefficients for Systems of Completely and Incompletely Specified Boolean Functions. - Bogdan J. Falkowski (ISCAS, 1993)

Properties and Fast Transforms for Generalized Walsh Transform. - Bogdan J. Falkowski (ISCAS, 1994)

Efficient Algorithms for the Calculation of Arithmetic Spectrum from OBDD & Synthesis of OBDD from Arithmetic Spectrum for Incompletely Specified Boolean Functions. - Bogdan J. Falkowski; Chip-Hong Chang (ISCAS, 1994)

Sign Haar Transform. - Bogdan J. Falkowski; Susanto Rahardja (ISCAS, 1994)

Flexible optimization of fixed polarity Reed-Muller expansions for multiple and output completely and incompletely specified boolean functions. - Chip-Hong Chang; Bogdan J. Falkowski (ASP-DAC, 1995)

Generation of Multi-Polarity Arithmetic Transform from Reduced Representation of Boolean Functions. - Bogdan J. Falkowski; Chip-Hong Chang (ISCAS, 1995)

Fast Transforms for Orthogonal Logic. - Bogdan J. Falkowski; Susanto Rahardja (ISCAS, 1995)

Novel Quantized Transform for Ternary Systems. - Bogdan J. Falkowski; Susanto Rahardja (ISMVL, 1995)

Efficient Algorithm for the Generation of Fixed Polarity Quaternary Reed-Muller Expansions. - Bogdan J. Falkowski; Susanto Rahardja (ISMVL, 1995)

Complex Spectral Decision Diagrams. - Bogdan J. Falkowski; Susanto Rahardja (ISMVL, 1996)

Family of Fast Mixed Arithmetic Logic Transforms for Multiple-Valued Input Binary Functions. - Susanto Rahardja; Bogdan J. Falkowski (ISMVL, 1996)

Properties and Applications of Unified Complex Hadamard Transforms. - Bogdan J. Falkowski; Susanto Rahardja (ISMVL, 1997)

Family of Complex Hadamard Transforms: Relationship with Other Transforms and Complex Composite Spectra. - Susanto Rahardja; Bogdan J. Falkowski (ISMVL, 1997)

Forward and Inverse Transformations Between Haar Spectra and Ordered Binary Decision Diagrams of Boolean Functions. - Bogdan J. Falkowski; Chip-Hong Chang (IEEE Trans. Computers, 1997)

Fast Multi-Polarity Complex Hadamard Transform for Logic Functions. - Bogdan J. Falkowski (ISMVL, 1998)

Reed-Muller weight and literal vectors for NPN classification. - Chip-Hong Chang; Bogdan J. Falkowski (ISCAS (1), 1999)

Optimization of partially-mixed-polarity Reed-Muller expansions. - Bogdan J. Falkowski; Chip-Hong Chang (ISCAS (1), 1999)

A Note on the Polynomial Form of Boolean Functions and Related Topics. - Bogdan J. Falkowski (IEEE Trans. Computers, 1999)

Fast Linearly Independent Arithmetic Expansions. - Susanto Rahardja; Bogdan J. Falkowski (IEEE Trans. Computers, 1999)

An Efficient Algorithm for the Calculation of Generalized Adding and Arithmetic Transforms From Disjoint Cubes of Boolean Functions. - Bogdan J. Falkowski; Chip-Hong Chang (VLSI Design, 1999)

Efficient spectral method for disjoint bi-decompositions of Boolean functions. - Bogdan J. Falkowski; Sudha Kannurao (ISCAS, 2000)

Skew symmetry detection using the Walsh spectral coefficients. - Bogdan J. Falkowski; Sudha Kannurao (ISCAS, 2000)

Image watermarking using the complex Hadamard transform. - Bogdan J. Falkowski; Lip-San Lim (ISCAS, 2000)

Gray Scale Image Compression Based on Multiple-Valued Input Binary Functions, Walsh and Reed-Muller Spectra. - Bogdan J. Falkowski; Lip-San Lim (ISMVL, 2000)

Fast Transforms for Multiple-Valued Input Binary Output PLI Logic. - Bogdan J. Falkowski; Susanto Rahardja (ISMVL, 2000)

A New Algorithm to Compute Quaternary Reed-Muller Expansions. - Susanto Rahardja; Bogdan J. Falkowski (ISMVL, 2000)

Spectral Theory of Disjunctive Decomposition for Balanced Boolean Functions. - Bogdan J. Falkowski; Sudha Kannurao (VLSI Design, 2000)

Minimization of k-Variable-Mixed-Polarity Reed-Muller Expansions. - Bogdan J. Falkowski; Chip-Hong Chang (VLSI Design, 2000)

Spectral Interpretation and Applications of Decision Diagrams. - Bogdan J. Falkowski; Radomir S. Stankovic (VLSI Design, 2000)

Strict avalanche criterion in Boolean functions-a spectral approach. - Bogdan J. Falkowski; Sudha Kannurao (ISCAS (2), 2001)

Calculation of sign Walsh spectra of Boolean functions from disjoint cubes. - Bogdan J. Falkowski; Sudha Kannurao (ISCAS (5), 2001)

Spectral- and discrete-function-based gray-scale image compression. - Bogdan J. Falkowski (Image Processing: Algorithms and Systems, 2002)

Calculation of Walsh transform on MasPar computer. - Bogdan J. Falkowski (ISCAS (4), 2002)

Mutual transformations between Haar wavelet and arithmetic spectra. - Bogdan J. Falkowski (ISCAS (4), 2002)

Algorithms for fast arithmetic transform. - Bogdan J. Falkowski (ISCAS (5), 2002)

Generalized multi-polarity Haar transform. - Bogdan J. Falkowski (ISCAS (5), 2002)

Mutual relations and properties of symmetric functions in Walsh spectral domain. - Bogdan J. Falkowski; Sudha Kannurao (ISCAS (4), 2002)

Boolean verification with fastest LIA transforms. - Bogdan J. Falkowski; Susanto Rahardja (ISCAS (5), 2002)

Circuit design from minimized Haar wavelet series. - Bogdan J. Falkowski; Radomir S. Stankovic; Dragan Jankovic (ISCAS (3), 2002)

Identification of complement single variable symmetry in Boolean functions through Walsh transform. - Sudha Kannurao; Bogdan J. Falkowski (ISCAS (5), 2002)

Polynomial expansions over GF(2) based on fastest transformation. - Susanto Rahardja; Bogdan J. Falkowski (ISCAS (3), 2002)

Multiple-Valued and Spectral Approach to Lossless Compression of Binary, Gray Scale and Color Biomedical Images. - Bogdan J. Falkowski; Beata T. Olejnicka (ISMVL, 2002)

Generation of sign Walsh spectra from disjoint cubes of Boolean functions. - Bogdan J. Falkowski; Sudha Kannurao (Comput. Electr. Eng., 2002)

Boolean Matching Filters Based on Row and Column Weights of Reed-Muller Polarity Coefficient Matrix. - Chip-Hong Chang; Bogdan J. Falkowski (VLSI Design, 2002)

Spectral Techniques and Decision Diagrams - Guest Editorial. - Bogdan J. Falkowski (VLSI Design, 2002)

Spectral Testing of Digital Circuits. - Bogdan J. Falkowski (VLSI Design, 2002)

Identification of Disjoint Bi-decompositions in Boolean Functions through Walsh Spectrum. - Bogdan J. Falkowski; Sudha Kannurao (VLSI Design, 2002)

Efficient Algorithms for Creation of Linearly-independent Decision Diagrams and their Mapping to Regular Layouts. - Marek A. Perkowski; Bogdan J. Falkowski; Malgorzata Chrzanowska-Jeske; Rolf Drechsler (VLSI Design, 2002)

Spectral Transforms Calculation through Decision Diagrams. - Radomir S. Stankovic; Bogdan J. Falkowski (VLSI Design, 2002)

Fastest linearly independent arithmetic transforms over GF(3). - Bogdan J. Falkowski; Cheng Fu 001 (ICASSP (2), 2003)

Relationship between Haar wavelet and Reed-Muller spectra. - Bogdan J. Falkowski (ISCAS (4), 2003)

Fast linearly independent ternary arithmetic transforms. - Bogdan J. Falkowski; Cheng Fu 001 (ISCAS (4), 2003)

Ternary arithmetic polynomial expansions based on new transforms. - Bogdan J. Falkowski; Cheng Fu 001 (ISCAS (4), 2003)

Properties of fastest LIA transform matrices and their spectra. - Bogdan J. Falkowski; Cicilia C. Lozano (ISCAS (4), 2003)

Generation and properties of fastest transform matrices over GF(2). - Bogdan J. Falkowski; Cicilia C. Lozano (ISCAS (4), 2003)

Single variable symmetry conditions in Boolean functions through Reed-Muller transform. - Sudha Kannurao; Bogdan J. Falkowski (ISCAS (4), 2003)

Polynomial Expansions over GF(3) based on Fastest Transformation. - Bogdan J. Falkowski; Cheng Fu 001 (ISMVL, 2003)

Family of Fast Transforms over GF(3) Logic. - Bogdan J. Falkowski; Cheng Fu 001 (ISMVL, 2003)

Operations on logic functions and variables through sign Haar spectra. - Bogdan J. Falkowski; Susanto Rahardja (Comput. Electr. Eng., 2003)

The Haar wavelet transform: its status and achievements. - Radomir S. Stankovic; Bogdan J. Falkowski (Comput. Electr. Eng., 2003)

Calculation of the paired Haar transform through shared binary decision diagrams. - Milena Stankovic; Bogdan J. Falkowski; Dragan Jankovic; Radomir S. Stankovic (Comput. Electr. Eng., 2003)

A Comment on "Generalized Reed-Muller Forms as a Tool to Detect Symmetries". - Bogdan J. Falkowski (IEEE Trans. Computers, 2003)

Properties of fastest linearly independent transforms over GF(3). - Bogdan J. Falkowski; Cheng Fu 001 (ISCAS (5), 2004)

Generation of disjoint cubes for multiple-valued functions. - Bogdan J. Falkowski; Cicilia C. Lozano; Susanto Rahardja (ISCAS (5), 2004)

Multi-polarity helix transform over GF(3). - Cheng Fu 001; Bogdan J. Falkowski (ISCAS (5), 2004)

Fast Optimization of Fixed-Polarity Reed-Muller Expansions over GF(5). - Bogdan J. Falkowski; Cicilia C. Lozano; Susanto Rahardja (ISMVL, 2004)

Spectra Generation for Fixed-Polarity Reed-Muller Transform over GF(5). - Bogdan J. Falkowski; Cicilia C. Lozano; Susanto Rahardja (ISMVL, 2004)

Lossless binary image compression using logic functions and spectra. - Bogdan J. Falkowski (Comput. Electr. Eng., 2004)

Calculation of best fixed polarity Reed-Muller transform over GF(5). - Bogdan J. Falkowski; Cicilia C. Lozano; Susanto Rahardja (IEICE Electron. Express, 2004)

Algorithm to generate fixed polarity Reed-Muller GF(5) spectra from disjoint cubes. - Bogdan J. Falkowski; Cicilia C. Lozano; Susanto Rahardja (IEICE Electron. Express, 2004)

Walsh-Hadamard Optimization of Fixed Polarity Reed-Muller Transform. - Bogdan J. Falkowski; Shixing Yan (IEICE Electron. Express, 2004)

Application of modified sign Haar transform in logic functions. - Bogdan J. Falkowski; Shixing Yan (IEICE Electron. Express, 2004)

Generation of multi-polarity helix transform over GF(3). - Cheng Fu 001; Bogdan J. Falkowski (IEICE Electron. Express, 2004)

Parallelization of Methods to Calculate Walsh Spectra for Logic Functions. - Bogdan J. Falkowski (J. Multiple Valued Log. Soft Comput., 2004)

Fast Mixed Linearly Independent Arithmetic Logic Transforms for Multiple-Valued Functions. - Susanto Rahardja; Bogdan J. Falkowski (J. Multiple Valued Log. Soft Comput., 2004)

Family of fast linearly independent ternary arithmetic transforms. - Bogdan J. Falkowski; Cheng Fu 001 (IEEE Trans. Circuits Syst. I Regul. Pap., 2004)

Quaternary arithmetic helix transforms based on Kronecker product. - Bogdan J. Falkowski; Cheng Fu 001 (ISCAS (1), 2005)

Generation of linearly independent transforms over GF(4). - Bogdan J. Falkowski; Cheng Fu 001 (ISCAS (1), 2005)

Properties and relations of ternary linearly independent transforms [multivalued logic applications]. - Bogdan J. Falkowski; Cheng Fu 001 (ISCAS (5), 2005)

Generalized fastest linearly independent arithmetic transforms. - Bogdan J. Falkowski; Cicilia C. Lozano; Susanto Rahardja (ISCAS (1), 2005)

Generation and properties of new fastest linearly independent transforms over GF(2) with reordering. - Bogdan J. Falkowski; Cicilia C. Lozano; Susanto Rahardja (ISCAS (5), 2005)

Fixed sign Walsh transform and its iterative hardware architecture. - Bogdan J. Falkowski; Shixing Yan (ISCAS (1), 2005)

Ternary Walsh transform. - Bogdan J. Falkowski; Shixing Yan (ISCAS (6), 2005)

Classes of Fastest Quaternary Linearly Independent Transformations. - Bogdan J. Falkowski; Cheng Fu 001 (ISMVL, 2005)

Properties and Relations of Quaternary Linearly Independent Helix Transformations. - Cheng Fu 001; Bogdan J. Falkowski (ISMVL, 2005)

Quaternary Fixed-Polarity Reed-Muller expansion computation through operations on disjoint cubes and its comparison with other methods. - Bogdan J. Falkowski; Cicilia C. Lozano (Comput. Electr. Eng., 2005)

Minimization of Haar wavelet series and Haar spectral decision diagrams for discrete functions. - Radomir S. Stankovic; Dragan Jankovic; Bogdan J. Falkowski (Comput. Electr. Eng., 2005)

Relationship between Haar and Reed-Muller spectral and functional domains. - Bogdan J. Falkowski (IEICE Electron. Express, 2005)

Converting matrices between ternary helix and Reed-Muller transforms over Galois Fields. - Bogdan J. Falkowski; Cheng Fu 001 (IEICE Electron. Express, 2005)

Fixed sign Walsh hardware structure. - Bogdan J. Falkowski; Shixing Yan (IEICE Electron. Express, 2005)

Classification of New Linearly Independent Transforms over Gf(3). - Bogdan J. Falkowski; Cheng Fu 001 (J. Circuits Syst. Comput., 2005)

Minimization of Circuit Design Using Permutation of Haar Wavelet Series. - Bogdan J. Falkowski; Radomir S. Stankovic; Dragan Jankovic (J. Circuits Syst. Comput., 2005)

Ternary Fixed Polarity Linear Kronecker Transforms and their Comparison with Ternary Reed-muller Transform. - Cheng Fu 001; Bogdan J. Falkowski (J. Circuits Syst. Comput., 2005)

Properties of Logic Functions in Spectral Domain of Sign Hadamard-Haar Transform. - Bogdan J. Falkowski; Shixing Yan (J. Multiple Valued Log. Soft Comput., 2005)

Fastest linearly independent transforms over GF(2) and their properties. - Susanto Rahardja; Bogdan J. Falkowski; Cicilia C. Lozano (IEEE Trans. Circuits Syst. I Regul. Pap., 2005)

Disjoint Cubes Generation Algorithm for Multiple-Valued Functions. - Bogdan J. Falkowski; Cicilia C. Lozano; Susanto Rahardja (APCCAS, 2006)

Generation of Fixed Polarity Arithmetic Spectra for Ternary Functions. - Cicilia C. Lozano; Bogdan J. Falkowski (APCCAS, 2006)

Fixed Polarity Arithmetic Expansions Calculation from Disjoint Cubes Representation of Ternary Functions. - Cicilia C. Lozano; Bogdan J. Falkowski (APCCAS, 2006)

Efficient computation of fixed polarity arithmetic expansions for ternary functions. - Bogdan J. Falkowski; Cicilia C. Lozano; Susanto Rahardja (ISCAS, 2006)

Algorithms for generation of quaternary fixed polarity arithmetic spectra. - Cicilia C. Lozano; Bogdan J. Falkowski; Susanto Rahardja (ISCAS, 2006)

Generalized Fastest LIA Transform Spectra Calculation by Systolic Processor. - Bogdan J. Falkowski; Cicilia C. Lozano; Susanto Rahardja (ISIT, 2006)

Arithmetic-Walsh Spectral Transform Decision Diagrams. - Bogdan J. Falkowski; Shixing Yan (ISIT, 2006)

Generation and Relation of Quaternary and Binary Linearly Independent Transforms. - Bogdan J. Falkowski; Cheng Fu 001 (ISMVL, 2006)

Arithmetic-Haar Spectral Transform Decision Diagrams. - Bogdan J. Falkowski; Shixing Yan (ISMVL, 2006)

Column Polarity Matrix Algorithm for Ternary Fixed Polarity Reed-muller Expansions. - Bogdan J. Falkowski; Cicilia C. Lozano; Susanto Rahardja (J. Circuits Syst. Comput., 2006)

Properties and experimental results of fastest linearly independent ternary arithmetic transforms. - Bogdan J. Falkowski; Cheng Fu 001 (IEEE Trans. Circuits Syst. I Regul. Pap., 2006)

Matrix decomposition and butterfly diagrams for mutual relations between Hadamard-Haar and arithmetic spectra. - Bogdan J. Falkowski; Shixing Yan (IEEE Trans. Circuits Syst. I Regul. Pap., 2006)

Cost-Efficient Synthesis for Sequential Circuits Implemented Using Embedded Memory Blocks of FPGAs. - Grzegorz Borowik; Bogdan J. Falkowski; Tadeusz Luba (DDECS, 2007)

Properties and relations of new fastest linearly independent arithmetic transforms for ternary functions. - Bogdan J. Falkowski; Cicilia C. Lozano; Tadeusz Luba (EUSIPCO, 2007)

Calculation of composite spectra for Boolean functions in Haar domain. - Bogdan J. Falkowski; Shixing Yan (EUSIPCO, 2007)

New Fastest Linearly Independent Transforms over GF(3). - Bogdan J. Falkowski; Cicilia C. Lozano; Tadeusz Luba (ISMVL, 2007)

Efficient Algorithm for Calculation of Quaternardy Fixed Polarity Arithmetic Expansions. - Bogdan J. Falkowski; Cicilia C. Lozano; Tadeusz Luba (ISMVL, 2007)

Properties and Fast Algorithms for Ternary Walsh Transform. - Bogdan J. Falkowski; Shixing Yan (ISMVL, 2007)

Fastest linearly independent arithmetic transforms and their calculation on systolic array processors. - Cicilia C. Lozano; Bogdan J. Falkowski (IET Circuits Devices Syst., 2007)

Ternary Recursive Fast Transforms Properties, Mutual Relations, and Circuit Realization. - Cheng Fu 001; Bogdan J. Falkowski (J. Circuits Syst. Comput., 2007)

Family of Fastest Linearly Independent Transforms over GF(3): Generation, Relations, and Hardware Implementation. - Bogdan J. Falkowski; Cicilia C. Lozano; Tadeusz Luba (J. Multiple Valued Log. Soft Comput., 2007)

Ternary Walsh Transform and Its Operations for Completely and Incompletely Specified Boolean Functions. - Bogdan J. Falkowski; Shixing Yan (IEEE Trans. Circuits Syst. I Regul. Pap., 2007)

Logic synthesis method for FPGAs with embedded memory blocks. - Mariusz Rawski; Tadeusz Luba; Bogdan J. Falkowski (ISCAS, 2008)

Classification of Fastest Quaternary Linearly Independent Arithmetic Transforms. - Bogdan J. Falkowski; Cheng Fu 001 (ISMVL, 2008)

Properties and Computational Algorithm for Fastest Quaternary Linearly Independent Transforms. - Cicilia C. Lozano; Bogdan J. Falkowski; Tadeusz Luba (ISMVL, 2008)

Multiple dynamic range image coding for wireless sensor networks. - Tao Fang; Cheng Fu 001; Bogdan J. Falkowski; Bang Wang 001 (SMC, 2008)

Phase Watermarking Algorithm using Hybrid Multi-Polarity Hadamard Transform. - Bogdan J. Falkowski (J. Math. Imaging Vis., 2008)

Logic synthesis method for pattern matching circuits implementation in FPGA with embedded memories. - Grzegorz Borowik; Tadeusz Luba; Bogdan J. Falkowski (DDECS, 2009)

Generalized Fixed Polarity Helix transforms over GF(4). - Cheng Fu 001; Bogdan J. Falkowski (EUSIPCO, 2009)

Two classes of fixed polarity linearly independent arithmetic transforms for quaternary functions. - Cicilia C. Lozano; Bogdan J. Falkowski; Tadeusz Luba (EUSIPCO, 2009)

Decision diagram based computation of linearly independent ternary arithmetic transform spectra. - Cicilia C. Lozano; Bogdan J. Falkowski; Tadeusz Luba (EUSIPCO, 2009)

Fixed Polarity Quaternary Transforms Derived from Linearly Independent Transform over GF(2) Structure. - Cicilia C. Lozano; Bogdan J. Falkowski; Tadeusz Luba (ISMVL, 2009)

Fixed Polarity Linearly Independent Expansions for the Representation of Quaternary Functions. - Cicilia C. Lozano; Bogdan J. Falkowski; Tadeusz Luba (J. Multiple Valued Log. Soft Comput., 2012)