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• orcid.org/0000-0003-3135-9684

Journals

1. C.-L. Liu and P. P. Vaidyanathan, ‘‘Correlation Subspaces: Generalizations and Connection to Difference Coarrays,’’ IEEE Trans. on Signal Processing, vol. 65, no. 19, pp. 5006-5020, Oct. 2017.
   (DOI) (Full text)

2. C.-L. Liu and P. P. Vaidyanathan, ‘‘Hourglass Arrays, and Other Novel 2D Sparse Arrays with Reduced Mutual Coupling,’’ IEEE Trans. on Signal Processing, vol. 65, no. 13, pp. 3369-3383, July 2017.
   (DOI) (Full text) (Project page)

3. C.-L. Liu and P. P. Vaidyanathan, ‘‘Cramér-Rao Bounds for Coprime and Other Sparse Arrays, which Find More Sources than Sensors,’’ Digital Signal Processing, vol. 61, pp. 43-61, Feb. 2017, Special Issue on Coprime Sampling and Arrays.
   (DOI) (Full text) (Project page)

4. C.-L. Liu and P. P. Vaidyanathan, ‘‘Super Nested Arrays: Linear Sparse Arrays with Reduced Mutual Coupling – Part I: Fundamentals,’’ IEEE Trans. on Signal Processing, vol. 64, no. 15, pp. 3997-4012, Aug. 2016.
   (DOI) (Full text) (Project page)

5. C.-L. Liu and P. P. Vaidyanathan, ‘‘Super Nested Arrays: Linear Sparse Arrays with Reduced Mutual Coupling – Part II: High-Order Extensions,’’ IEEE Trans. on Signal Processing, vol. 64, no. 16, pp. 4203-4217, Aug. 2016.
   (DOI) (Full text) (Project page)

6. S.-C. Pei, C.-L. Liu, and Y.-C. Lai, ‘‘Discrete Laguerre Gaussian Transforms and Their Applications,’’ IEEE Trans. on Signal Processing, vol. 64, no. 12, pp. 3156-3166, June 2016.
   (DOI)

7. C.-L. Liu and P. P. Vaidyanathan, ‘‘Remarks on the Spatial Smoothing Step in Coarray MUSIC,’’ IEEE Signal Processing Letters, vol. 22, no. 9, pp. 1438-1442, Sep. 2015.
   (DOI) (Project page)

8. S.-C. Pei and C.-L. Liu, ‘‘Differential Commuting Operator and Closed-form Eigenfunctions for Linear Canonical Transforms,’’ Journal of the Optical Society of America A (JOSA A), vol. 30, issue 10, pp. 2096-2110, Oct. 2013.
   (DOI)

9. S.-C. Pei and C.-L. Liu, ‘‘Discrete Spherical Harmonic Oscillator Transforms on the Cartesian Grids Using Transformation Coefficients,’’ IEEE Trans. on Signal Processing, vol. 61, no. 5, pp. 1149-1164, Mar. 2013.
   (DOI)
   This paper was on the front cover of IEEE TSP.

10. J.-J. Ding, S.-C. Pei, and C.-L. Liu, ‘‘Improved Implementation Algorithms of the Two-dimensional Non-separable Linear Canonical Transform,’’ Journal of the Optical Society of America A (JOSA A), vol. 29, issue 8, pp. 1615-1624, Aug. 2012.
    (DOI)

Conference Proceedings

1. C.-L. Liu and P. P. Vaidyanathan, ‘‘Comparison of Sparse Arrays From Viewpoint of Coarray Stability and Robustness,’’ submitted to the Tenth IEEE Sensor Array and Multichannel Signal Processing Workshop (SAM 2018).
   

2. C.-L. Liu and P. P. Vaidyanathan, ‘‘Robustness of Coarrays of Sparse Arrays to Sensor Failures,’’ in Proc. of the 2018 IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP 2018), Calgary, Alberta, Canada, Apr. 2018.
   (Best Student Paper Award)
   (DOI) (Full text) (Slides)

3. C.-L. Liu and P. P. Vaidyanathan, ‘‘Maximally Economic Sparse Arrays and Cantor Arrays,’’ in Proc. of the Seventh IEEE workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP 2017), Curaçao, Dutch Antilles, Dec. 2017.
   (DOI) (Full text) (Poster)

4. C.-L. Liu and P. P. Vaidyanathan, ‘‘The Role of Difference Coarrays in Correlation Subspaces,’’ in Proc. of the 51th Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, Oct. 2017.
   (DOI) (Full text) (Poster)

5. C.-L. Liu and P. P. Vaidyanathan, ‘‘One-Bit Sparse Array DOA Estimation,’’ in Proc. of the 2017 IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP 2017), pp. 3126-3130, New Orleans, USA, Mar. 2017.
   (DOI) (Full text) (Slides)

6. C.-L. Liu and P. P. Vaidyanathan, ‘‘Two-Dimensional Sparse Arrays with Hole-Free Coarray and Reduced Mutual Coupling,’’ in Proc. of the 50th Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, Nov. 2016.
   (The First Prize in Best Student Paper Award)
   (DOI) (Full text) (Poster) (Slides) (Project page)

7. C.-L. Liu and P. P. Vaidyanathan, ‘‘New Cramér-Rao Bound Expressions for Coprime and Other Sparse Arrays,’’ in Proc. of the Ninth IEEE Sensor Array and Multichannel Signal Processing Workshop (SAM 2016), pp. 1-5, Rio de Janeiro, Brazil, July 2016.
   (DOI) (Full text) (Slides) (Project page)

8. C.-L. Liu and P. P. Vaidyanathan, ‘‘High Order Super Nested Arrays,’’ in Proc. of the Ninth IEEE Sensor Array and Multichannel Signal Processing Workshop (SAM 2016), pp. 1-5, Rio de Janeiro, Brazil, July 2016.
   (Best Student Paper Award)
   (DOI) (Full text) (Slides) (Project page)

9. C.-L. Liu, P. P. Vaidyanathan and P. Pal, ‘‘Coprime Coarray Interpolation for DOA Estimation via Nuclear Norm Minimization,’’ in Proc. of the 2016 IEEE International Symposium on Circuits and Systems (ISCAS 2016), pp. 2639-2642, Montreal, Canada, May 2016.
   (DOI) (Full text) (Slides) (Project page)

10. C.-L. Liu and P. P. Vaidyanathan, ‘‘Super Nested Arrays: Sparse Arrays with Less Mutual Coupling than Nested Arrays,’’ in Proc. of the 2016 IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP 2016), pp. 2976-2980, Shanghai, China, Mar. 2016.
    (Best Student Paper Award)
    (DOI) (Full text) (Slides) (Project page)

11. C.-L. Liu and P. P. Vaidyanathan, ‘‘Tensor MUSIC in Multidimensional Sparse Arrays,’’ in Proc. of the 49th Asilomar Conference on Signals, Systems, and Computers, pp. 1783-1787, Pacific Grove, CA, Nov. 2015.
    (DOI) (Full text) (Slides)

12. C.-L. Liu and P. P. Vaidyanathan, ‘‘Coprime Arrays and Samplers for Space-Time Adaptive Processing,’’ in Proc. of the 2015 IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP 2015), pp. 2364-2368, Brisbane, Australia, Apr. 2015.
    (DOI) (Full text) (Slides)

13. C.-L. Liu and P. P. Vaidyanathan, ‘‘Coprime DFT Filter Bank Design: Theoretical Bounds and Guarantees,’’ in Proc. of the 2015 IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP 2015), pp. 3861-3865, Brisbane, Australia, Apr. 2015.
    (DOI) (Full text) (Poster)

14. C.-L. Liu and P. P. Vaidyanathan, ‘‘Design of Coprime DFT Arrays and Filter Banks,’’ in Proc. of the 48th Asilomar Conference on Signals, Systems, and Computers, pp. 455-459, Pacific Grove, CA, Nov. 2014.
    (DOI) (Full text) (Poster)

15. S.-C. Pei and C.-L. Liu, ‘‘3D Rotation Estimation Using Discrete Spherical Harmonic Oscillator Transforms,’’ in Proc. of the 2014 IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP 2014), pp. 774-778, Florence, Italy, May 2014.
    (DOI) (Full text) (Slides)

16. S.-C. Pei and C.-L. Liu, ‘‘A General Form of 2D Fourier Transform Eigenfunctions,’’ in Proc. of the 2012 IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP 2012), pp. 3701-3704, Kyoto, Japan, Mar. 2012.
    (DOI) (Full text) (Poster)

17. S.-C. Pei, C.-L. Liu, and Y.-C. Lai, ‘‘The Generalized Fractional Fourier Transform,’’ in Proc. of the 2012 IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP 2012), pp. 3705-3708, Kyoto, Japan, Mar. 2012.
    (DOI) (Full text) (Poster)