References & Further Reading
References
- A. RezazadehReyhani, A. Farhang, M. Ji, R. R. Chen, B. Farhang-Boroujeny, Analysis of Discrete-Time MIMO OFDM-Based Orthogonal Time Frequency Space Modulation, 2018
Foundational OTFS pulse-shaping analysis. Reference for §§1-4.
- R. Hadani, S. Rakib, M. Tsatsanis, A. Monk, A. J. Goldsmith, A. F. Molisch, R. Calderbank, Orthogonal Time Frequency Space Modulation, 2017
Original OTFS framework with pulse-shape discussion.
- G. Matz, H. Bölcskei, F. Hlawatsch, Time-Frequency Foundations of Communications: Concepts and Tools, 2013
Time-frequency foundations of communication. Reference for bi-orthogonality in §2.
- I. Daubechies, A. Grossmann, Y. Meyer, Painless Nonorthogonal Expansions, 1986
Foundational Weyl-Heisenberg frame theory. Reference for §2 existence of bi-orthogonal pairs.
- D. Gabor, Theory of Communication, 1946
Gabor's original paper. Uncertainty principle and optimal pulse. Foundational reference for §1.
- F. J. Harris, On the Use of Windows for Harmonic Analysis with the Discrete Fourier Transform, 1978
Classical windows reference. Sidelobe catalog used in §3.
- B. Farhang-Boroujeny, OFDM Versus Filter Bank Multicarrier, 2011
FBMC background. Foundation for filter-bank OTFS in §4.
- P. Raviteja, K. T. Phan, Y. Hong, E. Viterbo, Interference Cancellation and Iterative Detection for Orthogonal Time Frequency Space Modulation, 2018
OTFS detection under specific pulse shapes. Cross-references.
- D. N. C. Tse, P. Viswanath, Fundamentals of Wireless Communication, Cambridge University Press, 2005
OFDM/pulse-shape fundamentals cross-reference.
- 3GPP, 3GPP TS 38.211: NR Physical Channels and Modulation, 2024
5G NR physical layer. OOBE mask reference for §3.
- A. Wyner, Signaling in the Time-Bandwidth Product Context, 1975
Foundational paper on signaling at critical time-bandwidth product.
- S. W. Golomb, Signal Design for Good Correlation, Cambridge University Press, 1999
Signal design principles. Reference for ambiguity function shaping.
Further Reading
Additional resources on pulse shaping and filter-bank multicarrier.
Classical pulse shaping
Proakis, *Digital Communications* (McGraw-Hill, 2008); Sklar, *Digital Communications: Fundamentals and Applications* (Prentice Hall, 2001)
Canonical treatment of pulse shaping in single-carrier and multicarrier systems.
FBMC and filter-bank multicarrier
Farhang-Boroujeny (IEEE SPM 2011); Bellanger et al., *FBMC Multicarrier Systems* (IEEE 2012)
Filter-bank foundations relevant to FB-OTFS.
Time-frequency analysis
Gröchenig, *Foundations of Time-Frequency Analysis* (Birkhäuser 2001); Mallat, *A Wavelet Tour of Signal Processing* (Academic Press 2008)
Mathematical foundations of Gabor analysis and frames.
PAPR reduction
Jiang, Wu (IEEE TBC 2008); Li, Cimini, *Effects of Clipping and Filtering on the Performance of OFDM* (IEEE TCOM 1998)
PAPR mitigation techniques applicable to OTFS.
Ambiguity functions and signal design
Levanon, *Radar Signals* (Wiley 2004); Rihaczek, *Principles of High-Resolution Radar* (McGraw-Hill 1969)
Ambiguity function theory — relevant to bi-orthogonality analysis.
6G waveform research
Wild, Kapsokavvalis, Schotten (IEEE ComMag 2022); Mitola, *Beyond 5G* (IEEE Spectrum 2024)
Forward-looking discussions of pulse-shape choices for 6G.