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References

1. Strang, Gilbert; Nguyen, Truong (1996-10-01). Wavelets and Filter Banks (2 ed.). Wellesley,MA: Wellesley-Cambridge Press. pp. 100–101. ISBN 0961408871. https://books.google.com/books?id=Z76N_Ab5pp8C&pg=PA101&lpg=PA101&dq=noble+identities+strang&source=bl&ots=qUVRdm_Bh1&sig=j6JbIy66PbqFVdrhigCHnjerNiI&hl=en&sa=X&ei=XKmtUs_FEKbD2AWinIHACQ&ved=0CC8Q6AEwAA#v=onepage&q=noble%20identities%20strang&f=false. 
2. Realizable low-pass filters have a "skirt", where the response diminishes from near one to near zero. So in practice the cutoff frequency is placed far enough below the theoretical cutoff that the filter's skirt is contained below the theoretical cutoff.
3. Some programs (such as MATLAB) that design filters with real-valued coefficients use the Nyquist frequency ([math]\displaystyle{ \tfrac }[/math]) as the normalization constant. That results in a Nyquist frequency of 1 and a periodicity of 2.
4. Milić, Ljiljana (2009). Multirate Filtering for Digital Signal Processing. New York: Hershey. p. 192. ISBN 978-1-60566-178-0. "Generally, this approach is applicable when the ratio Fy/Fx is a rational, or an irrational number, and is suitable for the sampling rate increase and for the sampling rate decrease." 
5. Slyusar V. I. Synthesis of algorithms for measurement of range to M sources with the use of additional gating of the ADC readings.// Radioelectronics and Communications Systems. - Vol. 39. - no. 5. - 1996. - P. 36 – 40. [1]
6. T. Schilcher. RF applications in digital signal processing//” Digital signal processing”. Proceedings, CERN Accelerator School, Sigtuna, Sweden, May 31-June 9, 2007. - Geneva, Switzerland: CERN (2008). - P. 258. - DOI: 10.5170/CERN-2008-003. [2]
7. Sliusar I.I., Slyusar V.I., Voloshko S.V., Smolyar V.G. Next Generation Optical Access based on N-OFDM with decimation.// Third International Scientific-Practical Conference “Problems of Infocommunications. Science and Technology (PIC S&T’2016)”. – Kharkiv. - October 3 –6, 2016. [3]
8. Saska Lindfors, Aarno Pärssinen, Kari A. I. Halonen. A 3-V 230-MHz CMOS Decimation Subsampler.// IEEE transactions on circuits and systems— Vol. 52, No. 2, February 2005. – P. 110.