Paper V: Polyphase Signal Calculus
How can we split, filter, and reconstruct a signal while keeping track of every channel?
Residue projectors turn signals into exact polyphase channels and filters into transfer matrices. The same analysis–synthesis language describes perfect reconstruction, finite-depth Haar transforms, and edge-packet calculations.
Assumptions and limits. Infinite signal results retain their specified sequence space and norm. Exact known-edge reconstruction assumes the edge packet is supplied; estimated packets have separate error bounds.
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- 5. Refine a signal · Terms and source routes
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Complete demonstration with runnable code: Refine a signal · Wavelets and polyphase transfer.
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