References
- Cohen L. Time–frequency analysis. Englewood Cliffs (NJ): Prentice Hall; 1995.
- Dang P, Qian T, You Z. Hardy–Sobolev spaces decomposition in signal analysis. J Fourier Anal Appl. 2011;17:36–64.
- Wang J. Euclidean algorithm for Laurent polynomial matrix extension – a note on dual-chain approach to construction of wavelet filters. Appl Comput Harmonic Anal. 2015;38:331–345.
- S{\’e}tphane M. A wavelet tour of signal processing. Burlington (MA): Elsevier; 2009.
- Kou K, Xu R. Windowed linear canonical transform and its applications. Sign Proces. 2012;92:179–188.
- Chen W. Computation of two-dimensional Fourier transforms for noisy band-limited signals. Appl Math Comput. 2014;246:199–209.
- Peddinti VK, Kumaresan R. Bandpass phase shifter and analytic signal generator. Sign Proces. 2016;125:216–220.
- Shannon C. A mathematical theory of communication. Bell Syst Tech J. 1948;27:379–423.
- Shannon C. Communication in the presence of noise. Proc IRE. 1949;37:10–21.
- Kim J, Kwon K. Two-channel sampling in wavelet subspaces. Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica. 2015;23:153–175.
- Song Z, Liu B, Pang Y, et al. An improved Nyquist–Shannon irregular sampling theorem from local averages. IEEE Trans Inf Theory. 2012;58:6093–6100.
- Chen W. A regularized sampling algorithm for reconstructing non-bandlimited signals. J Comput Appl Math. 2016;301:259–270.
- Zhang Q, Liu B, Li R. Dynamical sampling in multiply generated shift-invariant spaces. Appl Anal. 2016.
- Li Y, Yang S. Multiwavelet sampling theorem in Sobolev spaces. Sci China Math. 2010;53:3197–3214.
- Li Y. Sampling approximation by framelets in Sobolev space and its application in modifying interpolating error. J Approx Theory. 2013;175:43–63.
- Li Y, Yang S, Yuan D. Bessel multiwavelet sequences and dual multiframelets in Sobolev spaces. Adv Comput Math. 2013;38:491–529.
- Han B, Shen Z. Dual wavelet frames and Riesz bases in Sobolev spaces. Constr Approx. 2009;29:369–406.
- Jia H, Li Y. Weak (quasi-)affine bi-frames for reducing subspaces of L2(ℝd). Sci China Math. 2015;58:1005–1022.
- Stein EM. Singular integrals and differentiability properties of functions. Vol. 30. Princeton mathematical series. Princeton (NJ): Princeton University Press; 1970.
- Young RM. An introduction to non-harmonic Fourier series. Oberlin (OH): Acamemic Press; 1980.
- Daubechies I. Ten lectures on wavelets. SIAM, CBMS-NSF series in applied mathematics. Philadelphia (PA): SIAM; 1992.