A Mathematical Model for Edge Detection using Rotational Wavelet Transform. - Liming Zhang 002; Tao Qian 001 (SIP, 2003)

Mono-Components vs Imfs in Signal Decomposition. - Tao Qian 001; Liming Zhang 002; Hong Li 009 (Int. J. Wavelets Multiresolution Inf. Process., 2008)

Adaptive Decomposition into Mono-Components. - Tao Qian 001; Yanbo Wang 001; Pei Dang (Adv. Data Sci. Adapt. Anal., 2009)

Discrete-time analytic signals and Bedrosian product theorems. - Hong Li 009; Luoqing Li; Tao Qian 001 (Digit. Signal Process., 2010)

Adaptive Decomposition of Functions into Pieces of Non-Negative Instantaneous Frequencies. - Tao Qian 001; I. T. Ho; Ieng Tak Leong; Yanbo Wang 001 (Int. J. Wavelets Multiresolution Inf. Process., 2010)

Instantaneous frequencies of simple waves and their application to sleep spindle detection. - Liming Zhang 002; Hong Li 009; Yantao Wei; Tao Qian 001 (SMC, 2011)

Adaptive Fourier series - a variation of greedy algorithm. - Tao Qian 001; Yanbo Wang 001 (Adv. Comput. Math., 2011)

Algorithm of Adaptive Fourier Decomposition. - Tao Qian 001; Liming Zhang 002; Zhixiong Li (IEEE Trans. Signal Process., 2011)

Frequency-domain identification: An algorithm based on an adaptive rational orthogonal system. - Wen Mi; Tao Qian 001 (Autom., 2012)

A fast adaptive model reduction method based on Takenaka-Malmquist systems. - Wen Mi; Tao Qian 001; Feng Wan (Syst. Control. Lett., 2012)

Sparse Reconstruction of Hardy Signal and Applications to Time-frequency Distribution. - Tao Qian 001; Shuang Li; Weixiong Mai (Int. J. Wavelets Multiresolution Inf. Process., 2013)

Remarks on Adaptive Fourier Decomposition. - Tao Qian 001; Yanbo Wang 001 (Int. J. Wavelets Multiresolution Inf. Process., 2013)

An implementation approach for ideal time-frequency distribution. - Liming Zhang 002; Tao Qian 001 (DSP, 2014)

On backward shift algorithm for estimating poles of systems. - Wen Mi; Tao Qian 001 (Autom., 2014)

Adaptive Fourier decomposition and rational approximation - Part II: Software system design and development. - Liming Zhang 002; Wei Hong; Weixiong Mai; Tao Qian 001 (Int. J. Wavelets Multiresolution Inf. Process., 2014)

The AFD methods to compute Hilbert transform. - Yan Mo; Tao Qian 001; Weixiong Mai; Qiuhui Chen (Appl. Math. Lett., 2015)

Sparse representation in Szegő kernels through reproducing kernel Hilbert space theory with applications. - Yan Mo; Tao Qian 001; Wen Mi (Int. J. Wavelets Multiresolution Inf. Process., 2015)

FFT formulations of adaptive Fourier decomposition. - You Gao; Min Ku; Tao Qian 001; Jianzhong Wang (J. Comput. Appl. Math., 2017)

Fast basis search for adaptive Fourier decomposition. - Ze Wang 001; Feng Wan; Chi Man Wong; Tao Qian 001 (EURASIP J. Adv. Signal Process., 2018)

A New Supervised Learning Approach: Statistical Adaptive Fourier Decomposition (SAFD). - Chunyu Tan; Liming Zhang 002; Tao Qian 001 (ICONIP (5), 2019)

Identification of discrete Hammerstein systems by using adaptive finite rational orthogonal basis functions. - Wen Mi; Hangmei Rao; Tao Qian 001; Shouming Zhong (Appl. Math. Comput., 2019)

2D Partial Unwinding - A Novel Non-Linear Phase Decomposition of Images. - Yanting Li; Liming Zhang 002; Tao Qian 001 (IEEE Trans. Image Process., 2019)

Two-Dimensional Frequency-Domain System Identification. - Xiaoyin Wang; Tao Qian 001; Ieng Tak Leong; You Gao (IEEE Trans. Autom. Control., 2020)

MIMO frequency domain system identification using matrix-valued orthonormal functions. - Tao Qian 001; Xiaoyin Wang; Liming Zhang 002 (Autom., 2021)

A Granular Sieving Algorithm for Deterministic Global Optimization. - Tao Qian 001; Lei Dai; Liming Zhang 002; Zehua Chen (CoRR, 2021)

Sparse Representations of Solutions to a class of Random Boundary Value Problems. - Fang Yang; Wei Qu; Jiecheng Chen; Ying Zhang; Tao Qian 001 (CoRR, 2021)

A novel feature representation approach for single-lead heartbeat classification based on adaptive Fourier decomposition. - Chunyu Tan; Liming Zhang 002; Hau-Tieng Wu; Tao Qian 001 (Int. J. Wavelets Multiresolution Inf. Process., 2021)

Content-adaptive image encryption with partial unwinding decomposition. - Yongfei Wu; Liming Zhang 002; Tao Qian 001; Xilin Liu; Qiwei Xie (Signal Process., 2021)

Functional Feature Extraction for Hyperspectral Image Classification With Adaptive Rational Function Approximation. - Zhijing Ye 001; Tao Qian 001; Liming Zhang 002; Lei Dai; Hong Li 009; Jón Atli Benediktsson (IEEE Trans. Geosci. Remote. Sens., 2021)

Statistical n-Best AFD-Based Sparse Representation for ECG Biometric Identification. - Chunyu Tan; Liming Zhang 002; Tao Qian 001; Susana Brás; Armando J. Pinho (IEEE Trans. Instrum. Meas., 2021)

System identification of hammerstein models by using backward shift algorithm. - Wen Mi; Tao Qian 001 (Appl. Math. Comput., 2022)

Best kernel approximation in Bergman spaces. - Wei Qu; Tao Qian 001; Haichou Li; Kehe Zhu (Appl. Math. Comput., 2022)

AFD Types Sparse Representations vs. the Karhunen-Loeve Expansion for Decomposing Stochastic Processes. - Tao Qian 001; Wei Qu (CoRR, 2022)

The sparse representation related with fractional heat equations. - Pengtao Li; Tao Qian 001; Ieng Tak Leong; Wei Qu (CoRR, 2022)

Data-driven ILC algorithms using AFD in frequency domain for unknown linear discrete-time systems. - Wen-Yuan Fu; Xiao-Dong Li 011; Tao Qian 001 (J. Frankl. Inst., 2022)

Adaptive Fourier Decomposition for Multi-Channel Signal Analysis. - Ze Wang 001; Chi Man Wong; Agostinho C. Rosa; Tao Qian 001; Feng Wan (IEEE Trans. Signal Process., 2022)

Stimulus-Stimulus Transfer Based on Time-Frequency-Joint Representation in SSVEP-Based BCIs. - Ze Wang 001; Chi Man Wong; Agostinho C. Rosa; Tao Qian 001; Tzyy-Ping Jung; Feng Wan (IEEE Trans. Biomed. Eng., 2023)

Algorithm of adaptive Fourier decomposition in H2(ℂ+). - Weixiong Mai; Tao Qian 001 (Int. J. Wavelets Multiresolution Inf. Process., 2023)

Matrix Pre-orthogonal-Matching Pursuit as a Fundamental AI Algorithm. - Wei Qu; Jiajie Wu; Chitin Hon; Tao Qian 001 (CoRR, 2024)

Frequency analysis with multiple kernels and complete dictionary. - Cuiyun Lin; Tao Qian 001 (Appl. Math. Comput., 2024)

Sparse series solutions of random boundary and initial value problems. - Fang Yang; Min Chen; Pengtao Li; Wei Qu; Jiecheng Chen; Tao Qian 001 (Int. J. Wavelets Multiresolution Inf. Process., 2024)

A sparse approximation for fractional Fourier transform. - Fang Yang; Jiecheng Chen; Tao Qian 001; Jiman Zhao (Adv. Comput. Math., 2024)

Trends by adaptive fourier decomposition and application in prediction. - Chitin Hon; Zige Liu; Tao Qian 001; Wei Qu; Jiman Zhao (Int. J. Wavelets Multiresolution Inf. Process., 2024)

ASFM-AFD: Multimodal Fusion of AFD-Optimized LiDAR and Camera Data for Paper Defect Detection. - Xuanfeng Li; Haining He; Jiahong Huang; Ruibin Liu; Tao Qian 001; Chitin Hon (IEEE Trans. Instrum. Meas., 2025)

Enhancing the Interpretation of Spirometry: Joint Utilization of n-Order Adaptive Fourier Decomposition and Deep Learning Techniques. - Xuanfeng Li; Yuxi Lin; Wei He; Ruibin Liu; Arlindo L. Oliveira; Tao Qian 001; Jinping Zheng; Chitin Hon (IEEE Trans. Instrum. Meas., 2025)