Here is a short list of useful references for polyphase filterbanks.
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The Scientist & Engineer's Guide to Digital Signal Processing 1st Edition by Steven W. Smith | Freely available online
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Understanding Digital Signal Processing (3rd Edition) 3rd Edition by Richard G. Lyons. My favorite DSP intro book.
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Vaidyanathan, “Multirate digital filters, filter banks, polyphase networks, and applications: a tutorial,” Proceedings of the IEEE, vol. 78, no. 1, pp. 56–93, 1990. Available here
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G. A. Zimmerman and S. Gulkis, “Polyphase-Discrete Fourier Transform Spectrum Analysis for the Search for Extraterrestrial Intelligence Sky Survey,” The Telecommunications and Data Acquisition Progress Report, vol. 107, p. 141, Jul. 1991. Available here Probably the first use of a PFB in radio astronomy
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C. Harris and K. Haines, “A Mathematical Review of Polyphase Filterbank Implementations for Radio Astronomy,” Publications of the Astronomical Society of Australia, vol. 28, no. 4, pp. 317–322, Oct. 2011. Available here A nice mathematical overview from a astronomy viewpoint
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Multirate Signal Processing for Communication Systems 1st Edition by Fredric J. Harris. The most obvious mutlirate text book, I would recommend loaning from the library, not buying it, unless you're super serious.
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J. Smith, "Overlapped Polyphase Filterbank", CASPER memo 54, 2019. Available here
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J. Chennamangalam, S. Scott, G. Jones, H. Chen, J. Ford, A. Kepley, D. R. Lorimer, J. Nie, R. Prestage, D. A. Roshi, M. Wagner, and D. Werthimer, “A GPU-Based Wide-Band Radio Spectrometer,” Publications of the Astronomical Society of Australia, vol. 31, p. e048, Dec. 2014. Available here GPU code
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K. Adámek, J. Novotný, and W. Armour, “A polyphase filter for many-core architectures,” Astronomy and Computing, vol. 16, pp. 1–16, Jul. 2016. Available here GPU, CPU and Intel Phi
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A. Parsons, D. Werthimer, D. Backer, T. Bastian, G. Bower, W. Brisken, H. Chen, A. Deller, T. Filiba, D. Gary, L. Greenhill, D. Hawkins, G. Jones, G. Langston, J. Lazio, J. V. Leeuwen, D. Mitchell, J. Manley, A. Siemion, H. Kwok-Hay So, A. Whitney, D. Woody, M. Wright, and K. Zarb Adami, “Digital Instrumentation for the Radio Astronomy Community,” arXiv, vol. astro-ph.IM, 2009. Available here The canonical CASPER paper
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github.com/0xCoto VIRGO: A Versatile Spectrometer for Radio Astronomy. GNU Radio PFB code
- CASPER - Collaboration for Astronomical Signal Processing and Electronics research https://casper.berkeley.edu/wiki/Main_Page