Add fftpos exampke [skip ci]

bionanoimaging · Dec 14, 2021 · c8a37c8 · c8a37c8 · roflmaostc · Jan 4, 2022
1 parent 2788a0d
commit c8a37c8
Showing 1 changed file with 53 additions and 0 deletions.
diff --git a/examples/fftpos_demo.jl b/examples/fftpos_demo.jl
@@ -0,0 +1,53 @@
+### A Pluto.jl notebook ###
+# v0.17.2
+
+using Markdown
+using InteractiveUtils
+
+# ╔═╡ 4d38c306-5ced-11ec-32c8-354a64d62d72
+using Pkg
+
+# ╔═╡ feec0e1a-0b9c-4e18-9131-bdaa4ba8981d
+Pkg.develop(path="../.")
+
+# ╔═╡ 94a14d53-eda6-4840-a389-51c3df60f017
+using Plots, FourierTools, NDTools
+
+# ╔═╡ 80c0e146-0ddf-42f5-a4e2-b528b8e73b40
+x = 2π .* fftpos(1,5,3)
+
+# ╔═╡ 75810e0b-442f-46d1-a484-f78d638cf576
+f(x) = sin(x)
+
+# ╔═╡ 9903e739-58eb-403e-a903-94a3b4815ab9
+collect(fftpos(1, 5, 3))
+
+# ╔═╡ 97dd506f-46f8-46a8-bbd8-a6bd6b58ef79
+collect(fftpos(1, 101, 51))
+
+# ╔═╡ 4735a86c-0ecc-45d9-91c7-26eed0f51804
+collect(fftpos(1, 100, 51))
+
+# ╔═╡ e0ecb758-1825-46c8-9d72-2baa39c1eaf6
+md"
+The even interpolation somehow extrapolates (!) only the left tail. the right tail
+"
+
+# ╔═╡ 82b62bf7-587a-4787-81ae-46fc328bf87a
+plot(fftpos(1, 20, 11), circshift(resample(circshift(f.(x), -2), 20), 10))
+
+# ╔═╡ 7475a27b-4423-49db-9b69-0ec15c7c2a89
+plot(fftpos(1, 21, 11), circshift(resample(circshift(f.(x), -2), 21), 10))
+
+# ╔═╡ Cell order:
+# ╠═4d38c306-5ced-11ec-32c8-354a64d62d72
+# ╠═feec0e1a-0b9c-4e18-9131-bdaa4ba8981d
+# ╠═94a14d53-eda6-4840-a389-51c3df60f017
+# ╠═80c0e146-0ddf-42f5-a4e2-b528b8e73b40
+# ╠═75810e0b-442f-46d1-a484-f78d638cf576
+# ╟─9903e739-58eb-403e-a903-94a3b4815ab9
+# ╠═97dd506f-46f8-46a8-bbd8-a6bd6b58ef79
+# ╠═4735a86c-0ecc-45d9-91c7-26eed0f51804
+# ╟─e0ecb758-1825-46c8-9d72-2baa39c1eaf6
+# ╠═82b62bf7-587a-4787-81ae-46fc328bf87a
+# ╠═7475a27b-4423-49db-9b69-0ec15c7c2a89