diff --git a/.github/workflows/CompatHelper.yml b/.github/workflows/CompatHelper.yml
index 6eaf109a..e4ee926e 100644
--- a/.github/workflows/CompatHelper.yml
+++ b/.github/workflows/CompatHelper.yml
@@ -2,20 +2,47 @@ name: CompatHelper
 
 on:
   schedule:
-    - cron: '00 00 * * *'
+    - cron: 0 0 * * 0 # weekly
   workflow_dispatch:
-
+permissions:
+  contents: write
+  pull-requests: write
 jobs:
   CompatHelper:
     runs-on: ubuntu-latest
     steps:
-      - name: Pkg.add("CompatHelper")
-        run: julia -e 'using Pkg; Pkg.add("CompatHelper")'
-      - name: CompatHelper.main()
+      - name: Check if Julia is already available in the PATH
+        id: julia_in_path
+        run: which julia
+        continue-on-error: true
+      - name: Install Julia, but only if it is not already available in the PATH
+        uses: julia-actions/setup-julia@latest
+        with:
+          version: '1'
+          # arch: ${{ runner.arch }}
+        if: steps.julia_in_path.outcome != 'success'
+      - name: "Add the General registry via Git"
+        run: |
+          import Pkg
+          ENV["JULIA_PKG_SERVER"] = ""
+          Pkg.Registry.add("General")
+        shell: julia --color=yes {0}
+      - name: "Install CompatHelper"
+        run: |
+          import Pkg
+          name = "CompatHelper"
+          uuid = "aa819f21-2bde-4658-8897-bab36330d9b7"
+          version = "3"
+          Pkg.add(; name, uuid, version)
+        shell: julia --color=yes {0}
+      - name: "Run CompatHelper"
+        run: |
+          import CompatHelper
+          CompatHelper.main()
+        shell: julia --color=yes {0}
         env:
           GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
-          COMPATHELPER_PRIV: ${{ secrets.COMPATHELPER_PRIV }}  # optional
-        run: julia -e 'using CompatHelper; CompatHelper.main()'
+          COMPATHELPER_PRIV: ${{ secrets.DOCUMENTER_KEY }}
 
 # based on:
 # https://github.com/JuliaRegistries/CompatHelper.jl
diff --git a/.github/workflows/Documentation.yml b/.github/workflows/Documentation.yml
index 5bef0435..390476b2 100644
--- a/.github/workflows/Documentation.yml
+++ b/.github/workflows/Documentation.yml
@@ -21,7 +21,7 @@ jobs:
         with:
           version: '1'
       - name: CacheArtifacts
-        uses: actions/cache@v3
+        uses: actions/cache@v4
         env:
           cache-name: cache-artifacts
         with:
@@ -40,6 +40,7 @@ jobs:
             Pkg.instantiate()'
       - name: BuildAndDeploy
         env:
+# https://juliadocs.github.io/Documenter.jl/stable/man/hosting/#Authentication:-GITHUB_TOKEN
 #         GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
           ssh: ${{ secrets.DOCUMENTER_KEY }}
           DOCUMENTER_KEY: ${{ secrets.DOCUMENTER_KEY }}
diff --git a/.github/workflows/SpellCheck.yml b/.github/workflows/SpellCheck.yml
new file mode 100644
index 00000000..c344f6dd
--- /dev/null
+++ b/.github/workflows/SpellCheck.yml
@@ -0,0 +1,13 @@
+name: Spell Check
+
+on: [pull_request]
+
+jobs:
+  typos-check:
+    name: Spell Check with Typos
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout Actions Repository
+        uses: actions/checkout@v4
+      - name: Check spelling
+        uses: crate-ci/typos@master
diff --git a/.github/workflows/TagBot.yml b/.github/workflows/TagBot.yml
index f49313b6..6d2efc1c 100644
--- a/.github/workflows/TagBot.yml
+++ b/.github/workflows/TagBot.yml
@@ -1,9 +1,11 @@
 name: TagBot
+
 on:
   issue_comment:
     types:
       - created
   workflow_dispatch:
+
 jobs:
   TagBot:
     if: github.event_name == 'workflow_dispatch' || github.actor == 'JuliaTagBot'
diff --git a/.github/workflows/clean.yml b/.github/workflows/clean.yml
new file mode 100644
index 00000000..fdbfb0b3
--- /dev/null
+++ b/.github/workflows/clean.yml
@@ -0,0 +1,28 @@
+# https://juliadocs.github.io/Documenter.jl/stable/man/hosting/#gh-pages-Branch
+
+name: DocPreviewCleanup
+
+on:
+  pull_request:
+    types: [closed]
+
+jobs:
+  doc-preview-cleanup:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout gh-pages branch
+        uses: actions/checkout@v4
+        with:
+          ref: gh-pages
+      - name: Delete preview and history + push changes
+        run: |
+            if [ -d "previews/PR$PRNUM" ]; then
+              git config user.name "Documenter.jl"
+              git config user.email "documenter@juliadocs.github.io"
+              git rm -rf "previews/PR$PRNUM"
+              git commit -m "delete preview"
+              git branch gh-pages-new $(echo "delete history" | git commit-tree HEAD^{tree})
+              git push --force origin gh-pages-new:gh-pages
+            fi
+        env:
+            PRNUM: ${{ github.event.number }}
diff --git a/Project.toml b/Project.toml
index b967673a..4fccd5e4 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "MIRT"
 uuid = "7035ae7a-3787-11e9-139a-5545ed3dc201"
 authors = ["fessler <fessler@umich.edu>"]
-version = "0.17.0"
+version = "0.18"
 
 [deps]
 AVSfldIO = "b6189060-daf9-4c28-845a-cc0984b81781"
@@ -25,14 +25,14 @@ Wavelets = "29a6e085-ba6d-5f35-a997-948ac2efa89a"
 [compat]
 AVSfldIO = "0.2"
 FFTW = "1"
-FileIO = "1.9, 1.14"
-FillArrays = "0.12, 0.13"
-ImageFiltering = "0.6, 0.7"
-ImageTransformations = "0.8, 0.9"
-Interpolations = "0.12, 0.13, 0.14"
-LazyGrids = "0.5"
-LinearMapsAA = "0.11"
+FileIO = "1"
+FillArrays = "1"
+ImageFiltering = "0.7"
+ImageTransformations = "0.10"
+Interpolations = "0.15"
+LazyGrids = "1"
+LinearMapsAA = "0.12"
 NFFT = "0.13"
-SpecialFunctions = "1, 2"
-Wavelets = "0.9"
-julia = "1.8"
+SpecialFunctions = "2"
+Wavelets = "0.10"
+julia = "1.10"
diff --git a/_typos.toml b/_typos.toml
new file mode 100644
index 00000000..04422f44
--- /dev/null
+++ b/_typos.toml
@@ -0,0 +1,9 @@
+[default]
+extend-ignore-identifiers-re = [
+    "allk",
+    "als",
+    "Nd",
+    "iy",
+    "pn",
+    "MIRTio",
+]
diff --git a/doc/start-juno.md b/doc/start-juno.md
index aebc8453..ee024bd2 100644
--- a/doc/start-juno.md
+++ b/doc/start-juno.md
@@ -43,7 +43,7 @@ jim(x, title="test")
 * This test should produce a grayscale image of the famous
 [Shepp-Logan phantom](https://en.wikipedia.org/wiki/Shepp%E2%80%93Logan_phantom) in the Plots tab of Atom.
 * To learn about the jiffy image display function `jim`, type `?jim` at the REPL.
-* Juno and Atom have lots of online documention.
+* Juno and Atom have lots of online documentation.
 I use the `vim-mode-plus` key bindings, installed using Atom preferences.
 
 * To start a Jupyter notebook for Julia, type at the REPL:
diff --git a/doc/start.md b/doc/start.md
index 2596e9a1..518bca8f 100644
--- a/doc/start.md
+++ b/doc/start.md
@@ -1,17 +1,22 @@
-* Install Julia (1.5 or later recommended) from https://julialang.org/
-* Explore the extensive documentation at https://docs.julialang.org/
+* Install Julia (1.10 or later recommended) from https://julialang.org
+* Explore the extensive documentation at https://docs.julialang.org
 * Launch Julia and use the `]` key to enter its package manager.
 * Add any packages needed for these notebooks using the `add` command.
 * For example `add Plots` to add the `Plots` package.
 * Other crucial standard packages are `FFTW` `FFTViews`
 * You will also need the package `IJulia` to run any Jupyter demo notebooks.
 * Add MIRT by typing `add MIRT`
-(Automatically loads from https://github.com/JeffFessler/MIRT.jl because MIRT.jl is a registered package.)
+  (Automatically loads from https://github.com/JeffFessler/MIRT.jl
+  because MIRT.jl is a registered package.)
 * Type `precompile` to have Julia precompile the added packages.
-* After you are done adding packages, press the backspace key to return to the REPL prompt.
-* Later if you need to add more packages just type the `]` key again at the REPL prompt to enter the package manager.
-* Julia is under active development so code is updated frequently.  It is a wise to type `up` (short for `update`) at the package manager prompt every week or so to get automatic updates of any packages you have intalled.
+* After you are done adding packages, press the backspace key
+  to return to the REPL prompt.
+* Later if you need to add more packages just type the `]` key again
+  at the REPL prompt to enter the package manager.
+* Julia is under active development so code is updated frequently.
+  It is a wise to type `up` (short for `update`) at the package manager prompt
+  every week or so to get automatic updates of any packages you have installed.
 * For some Julia tutorials see
-http://web.eecs.umich.edu/~fessler/course/551/julia/tutor/
+  http://web.eecs.umich.edu/~fessler/course/551/julia/tutor
 * For some signal processing demos in Julia see
-http://web.eecs.umich.edu/~fessler/course/551/julia/demo/
+  http://web.eecs.umich.edu/~fessler/course/551/julia/demo
diff --git a/docs/make.jl b/docs/make.jl
index c099e45d..432c576e 100644
--- a/docs/make.jl
+++ b/docs/make.jl
@@ -2,8 +2,8 @@ execute = isempty(ARGS) || ARGS[1] == "run"
 
 org, reps = :JeffFessler, :MIRT
 eval(:(using $reps))
-using Documenter
-using Literate
+import Documenter
+import Literate
 #using DemoCards
 
 # examples_templates, examples_theme = cardtheme("grid")
@@ -27,7 +27,7 @@ binder_root_url =
 
 
 repo = eval(:($reps))
-DocMeta.setdocmeta!(repo, :DocTestSetup, :(using $reps); recursive=true)
+Documenter.DocMeta.setdocmeta!(repo, :DocTestSetup, :(using $reps); recursive=true)
 
 # preprocessing
 inc1 = "include(\"../../../inc/reproduce.jl\")"
@@ -81,7 +81,7 @@ format = Documenter.HTML(;
     assets = ["assets/custom.css"],
 )
 
-makedocs(;
+Documenter.makedocs(;
     modules = [repo],
     authors = "Jeff Fessler and contributors",
     sitename = "$repo.jl",
@@ -96,7 +96,7 @@ makedocs(;
 # examples_cb()
 
 if isci
-    deploydocs(;
+    Documenter.deploydocs(;
         repo = "github.com/$base",
         devbranch = "main",
         devurl = "dev",
diff --git a/src/algorithm/general/dot-curv.jl b/src/algorithm/general/dot-curv.jl
index e7736bc8..68900856 100644
--- a/src/algorithm/general/dot-curv.jl
+++ b/src/algorithm/general/dot-curv.jl
@@ -10,7 +10,7 @@ _curv_type(Tf::Type{<:RealU}, Tx::Type{<:Number}) =
 
 
 """
-    make_dot_curvf(curv::Function, [x, Tf::DataType; w = similar(x)])
+    make_dot_curvf(curv::Function, [x, Tf::Type; w = similar(x)])
 
 Make a function with arguments `(v, x)`
 that computes the dot product between
@@ -53,7 +53,7 @@ Those units are relevant to defining the work array `w`.
 - `x` an array whose `size` and `eltype` is used to allocate `w`
 
 # option
-- `Tf::DataType = typeof(one(eltype(x)))`
+- `Tf::Type = typeof(one(eltype(x)))`
   Specify `eltype` of function `f(x)`, defaulting to unitless.
 - `w = similar(x,  typeof(oneunit(Tf) / oneunit(eltype(x))^2))`
   work space for gradient calculation, with appropriate units (if needed).
diff --git a/src/algorithm/general/dot-grad.jl b/src/algorithm/general/dot-grad.jl
index 528a8f88..1b2be69f 100644
--- a/src/algorithm/general/dot-grad.jl
+++ b/src/algorithm/general/dot-grad.jl
@@ -10,7 +10,7 @@ _grad_type(Tf::Type{<:RealU}, Tx::Type{<:Number}) =
 
 
 """
-    make_dot_gradf(grad::Function, [x, Tf::DataType; w = similar(x)])
+    make_dot_gradf(grad::Function, [x, Tf::Type; w = similar(x)])
 
 Make a function with arguments `(v, x)`
 that computes the dot product between
@@ -44,7 +44,7 @@ Those units are relevant to defining the work array `w`.
 # in
 - `grad::Function` see above
 - `x` an array whose `size` and `eltype` is used to allocate `w`
-- `Tf::DataType = typeof(one(eltype(x)))`
+- `Tf::Type = typeof(one(eltype(x)))`
   Specify `eltype` of function `f(x)`, defaulting to unitless.
 
 # option
diff --git a/src/algorithm/general/pogm_restart.jl b/src/algorithm/general/pogm_restart.jl
index 47f9520e..40e9e3f0 100644
--- a/src/algorithm/general/pogm_restart.jl
+++ b/src/algorithm/general/pogm_restart.jl
@@ -71,7 +71,7 @@ iterate as below for given coefficients ``(\\alpha, \\beta_k, \\gamma_k)``
   - ``x_{k+1} = y_{k+1} + \\beta_k  (y_{k+1} - y_k) + \\gamma_k  (y_{k+1} - x_k)`` : momentum update
 
 Proximal versions of the above for ``g(x) \\neq 0`` are in the below references,
-and use the proximal operater
+and use the proximal operator
 ``prox_g(z) = argmin_x {1/2\\|z-x\\|^2 + g(x)}``.
 
 - Proximal Gradient method (PGM or ISTA) - ``\\beta_k = \\gamma_k = 0``. [BT09]
diff --git a/src/mri/kspace-spiral.jl b/src/mri/kspace-spiral.jl
index 2602c030..7389d77e 100644
--- a/src/mri/kspace-spiral.jl
+++ b/src/mri/kspace-spiral.jl
@@ -17,7 +17,7 @@ using Interpolations
 Make k-space spiral trajectory based on GE 3T scanner constraints
 
 Option:
-- `N` dimention of reconstructed image
+- `N` dimension of reconstructed image
 - `Nt` # of time points
 - `fov` field of view in cm
 - `dt` time sampling interval out; default `5e-6` sec
@@ -163,7 +163,7 @@ to gradients at 4us.
 
 Multi-shot spiral design
 uses Duyn's approximate slewrate limited design
-augmented with archimedian `gmax` limit
+augmented with archimedean `gmax` limit
 
 # in [args]
 * `D` = FOV; cm
diff --git a/src/nufft/dtft.jl b/src/nufft/dtft.jl
index c2c424e7..2f9eac73 100644
--- a/src/nufft/dtft.jl
+++ b/src/nufft/dtft.jl
@@ -11,7 +11,6 @@ see also MIRT/time/dtft.jl
 
 export dtft_init, dtft, dtft_adj
 
-#using LinearAlgebra: norm
 using Distributed: @sync, @distributed, pmap
 using SharedArrays: SharedArray, sdata
 using LinearMapsAA: LinearMapAA, LinearMapAO
@@ -35,7 +34,7 @@ using LinearMapsAA: LinearMapAA, LinearMapAO
 """
 function dtft(w::AbstractVector{<:Real}, x::AbstractVector{<:Number}
         ; n_shift::Real = 0)
-    return dtft_loop_n(w, x ; n_shift=n_shift)
+    return dtft_loop_n(w, x ; n_shift)
 end
 
 
@@ -59,7 +58,7 @@ where here `n` is a `CartesianIndex`
 function dtft(w::AbstractMatrix{<:Real}, x::AbstractMatrix{<:Number}
     ; n_shift::AbstractVector{<:Real} = zeros(Int, ndims(x)),
 )
-    return dtft_loop_n(w, x ; n_shift=n_shift)
+    return dtft_loop_n(w, x ; n_shift)
 end
 
 
@@ -74,7 +73,7 @@ For 1D DTFT
 
 # option
 - `n_shift::Real` often is N/2; default 0
-- `T::DataType` default `ComplexF64` for testing NUFFT accuracy
+- `T::Type` default `ComplexF64` for testing NUFFT accuracy
 
 # out
 - `d::NamedTuple` with fields
@@ -84,17 +83,17 @@ function dtft_init(
     w::AbstractVector{<:Real},
     N::Int ;
     n_shift::Real = 0,
-    T::DataType = ComplexF64,
+    T::Type{<:Complex{<:AbstractFloat}} = ComplexF64,
 )
 
     M = length(w)
-    forw = x -> dtft(w, x ; n_shift=n_shift)
-    back = y -> dtft_adj(w, y, N ; n_shift=n_shift)
+    forw = x -> dtft(w, x ; n_shift)
+    back = y -> dtft_adj(w, y, N ; n_shift)
     A = LinearMapAA(forw, back, (M, N),
-        (name="dtft1", N=(N,)) ; T = ComplexF64,
+        (name = "dtft1", N = (N,)) ; T = ComplexF64,
         operator = true,
     )
-    return (dtft=forw, adjoint=back, A=A)
+    return (dtft=forw, adjoint=back, A)
 end
 
 
@@ -108,7 +107,7 @@ for multi-dimensional DTFT (DSFT)
 
 # option
 - `n_shift::AbstractVector{<:Real}` often is N/2; default zeros(D)
-- `T::DataType` default `ComplexF64` for testing NUFFT accuracy
+- `T::Type` default `ComplexF64` for testing NUFFT accuracy
 
 # out
 - `d::NamedTuple` with fields
@@ -124,13 +123,13 @@ function dtft_init(
     length(N) != D && throw(DimensionMismatch("length(N) vs D=$D"))
     length(n_shift) != D && throw(DimensionMismatch("length(n_shift) vs D=$D"))
     M = size(w,1)
-    forw = x -> dtft(w, x ; n_shift=n_shift)
-    back = y -> dtft_adj(w, y, N ; n_shift=n_shift)
+    forw = x -> dtft(w, x ; n_shift)
+    back = y -> dtft_adj(w, y, N ; n_shift)
     A = LinearMapAA(forw, back, (M, prod(N)),
-        (name="dtft$(length(N))", N=N) ; T = ComplexF64,
+        (name = "dtft$(length(N))", N) ; T = ComplexF64,
         operator = true, idim = N,
     )
-    return (dtft=forw, adjoint=back, A=A)
+    return (dtft=forw, adjoint=back, A)
 end
 
 
@@ -149,14 +148,14 @@ This is the *adjoint* (transpose) of `dtft`, not an *inverse* DTFT.
 
 # option
 - `n_shift::Real` often is N/2; default 0
-- `T::DataType` output data type; default `ComplexF64`
+- `T::Type` output data type; default `ComplexF64`
 
 # out
 - `x::AbstractVector{<:Number} (N)` signal
 """
 function dtft_adj(w::AbstractVector{<:Real}, X::AbstractVector{<:Number},
     N::Int ; n_shift::Real = 0,
-    T::DataType = ComplexF64,
+    T::Type{<:Complex{<:AbstractFloat}} = ComplexF64,
 )
     M = length(w)
     out = similar(X, T, N)
@@ -183,7 +182,7 @@ where here `n` is a `CartesianIndex`
 
 # option
 - `n_shift::AbstractVector{<:Real}` often is `N/2`; default `zeros(D)`
-- `T::DataType` default `(eltype(w) == Float64) ? ComplexF64 : ComplexF32`
+- `T::Type` default `(eltype(w) == Float64) ? ComplexF64 : ComplexF32`
 
 # out
 - `x::AbstractArray{<:Number} [(N)]` `D`-dimensional signal
@@ -193,7 +192,8 @@ function dtft_adj(
     X::AbstractVector{<:Number},
     N::Dims ;
     n_shift::AbstractVector{<:Real} = zeros(Int, ndims(x)),
-    T::DataType = (eltype(w) == Float64) ? ComplexF64 : ComplexF32,
+    T::Type{<:Complex{<:AbstractFloat}} =
+        (eltype(w) == Float64) ? ComplexF64 : ComplexF32,
 )
 
     M, D = size(w)
@@ -203,8 +203,6 @@ function dtft_adj(
 
     for n in 1:prod(N)
         idx = CartesianIndices(N)[n]
-        tmp = cis.(w * (collect(Tuple(idx)) - nshift1))
-        tmp = transpose(cis.(w * (collect(Tuple(idx)) - nshift1))) * X
         out[idx] = cis.(-w * (collect(Tuple(idx)) - nshift1))' * X
     end
     return out
@@ -254,7 +252,7 @@ function dtft_loop_m(
     w::AbstractVector{<:Real},
     x::AbstractVector{<:Number} ;
     n_shift::Real = 0,
-    T::DataType = ComplexF64,
+    T::Type{<:Complex{<:AbstractFloat}} = ComplexF64,
 )
     M = length(w)
     N = length(x)
@@ -296,7 +294,7 @@ function dtft_pmap_m(
     x::AbstractVector{<:Number}
     ; n_shift::Real = 0,
 )
-    tmp = w -> dtft_one_w(w, x ; n_shift=n_shift)
+    tmp = w -> dtft_one_w(w, x ; n_shift)
     return pmap(tmp, w)
 end
 
diff --git a/src/nufft/nufft.jl b/src/nufft/nufft.jl
index 2f451145..b120b64f 100644
--- a/src/nufft/nufft.jl
+++ b/src/nufft/nufft.jl
@@ -18,7 +18,7 @@ _start = N -> isodd(N) ? (N-1)÷2 : N÷2 # where the NFFT sum starts
 
 
 """
-    nufft_eltype(::DataType)
+    nufft_eltype(::Type)
 ensure plan_nfft eltype is Float32 or Float64
 """
 nufft_eltype(::Type{<:Integer}) = Float32
@@ -31,7 +31,7 @@ nufft_eltype(T::DataType) = throw("unknown type $T")
 # see https://github.com/tknopp/NFFT.jl/pull/33
 # todo: may be unnecessary with future version of nfft()
 """
-    nufft_typer(T::DataType, x::AbstractArray{<:Real} ; warn::Bool=true)
+    nufft_typer(T::Type, x::AbstractArray{<:Real} ; warn::Bool=true)
 type conversion wrapper for `nfft()`
 """
 nufft_typer(::Type{T}, x::T ; warn::Bool=true) where {T} = x # cf convert()
diff --git a/src/regularize/Aodwt.jl b/src/regularize/Aodwt.jl
index ecadcaeb..5a7b6da2 100644
--- a/src/regularize/Aodwt.jl
+++ b/src/regularize/Aodwt.jl
@@ -21,7 +21,7 @@ Create orthogonal discrete wavelet transform (ODWT) `LinearMapAA`
 - `level::Int` # of levels; default 3
 - `wt` wavelet transform type (see `Wavelets` package); default Haar
 - `operator::Bool=true` default to `LinearMapAO`
-- `T::DataType` : `Float32` by default; use `ComplexF32` if needed
+- `T::Type` : `Float32` by default; use `ComplexF32` if needed
 
 # out
 - `A` a `LinearMapAX` object
@@ -33,7 +33,7 @@ which is useful when imposing scale-dependent regularization
 """
 function Aodwt(
     dims::Dims ;
-    T::DataType = Float32,
+    T::Type{<:Complex{<:AbstractFloat}} = ComplexF32,
     level::Int = 3,
     wt = wavelet(WT.haar),
     operator::Bool = true, # !
diff --git a/src/regularize/diffl.jl b/src/regularize/diffl.jl
index bd8ab91c..5886347a 100644
--- a/src/regularize/diffl.jl
+++ b/src/regularize/diffl.jl
@@ -1,6 +1,6 @@
 #=
 diffl.jl
-Left finite differences "in-place" (pre-allocated outpus)
+Left finite differences "in-place" (pre-allocated outputs)
 
 Could use StaticKernels.jl for this; see timing test in ../../time.
 
diff --git a/src/system/Afft.jl b/src/system/Afft.jl
index 39511f6e..c1a6b9f9 100644
--- a/src/system/Afft.jl
+++ b/src/system/Afft.jl
@@ -25,7 +25,7 @@ In:
 - `fdim = 1:D` apply fft/bfft only along these dimensions
 
 Option:
-- `T::DataType = ComplexF32`
+- `T::Type = ComplexF32`
 - `operator::Bool = true` return a `LinearMapAO`
   set to `false` to return a `LinearMapAM`
 - `unitary::Bool = false` set to `true` for unitary DFT
@@ -39,7 +39,7 @@ function Afft(
     xdim::Dims{D},
     fdim = 1:D,
     ;
-    T::DataType = ComplexF32,
+    T::Type{<:Complex{<:AbstractFloat}} = ComplexF32,
     operator::Bool = true, # !
     unitary::Bool = false,
     work::AbstractArray{Tw,D} = Array{T,D}(undef, xdim),
@@ -109,7 +109,7 @@ using given sampling pattern `samp`.
 Especially for compressed sensing MRI with Cartesian sampling.
 
 Option:
-- `T::DataType = ComplexF32`
+- `T::Type = ComplexF32`
 - `dims = 1:D` apply fft/bfft only along these dimensions
 - `fft_forward::Bool = true` Use `false` to have `bfft!` in forward model.
 - `operator::Bool = true` set to `false` to return a `LinearMapAM`
@@ -123,7 +123,7 @@ function Afft(
     samp::AbstractArray{<:Bool, D},
     ;
     dims = 1:D,
-    T::DataType = ComplexF32,
+    T::Type{<:Complex{<:AbstractFloat}} = ComplexF32,
     operator::Bool = true, # !
     work::AbstractArray{Tw,D} = similar(samp, T),
     fft_forward::Bool = true,
diff --git a/src/system/Asense.jl b/src/system/Asense.jl
index ca236fdd..ca15569f 100644
--- a/src/system/Asense.jl
+++ b/src/system/Asense.jl
@@ -26,7 +26,7 @@ or a Vector of `ncoil` arrays of size `size(samp)`.
 - `smaps::Vector{<:AbstractArray{<:Number}}` or `AbstractArray{<:Number}`
 
 # Option
-- `T::DataType = ComplexF32`
+- `T::Type = ComplexF32`
 - `dims = 1:D` apply fft/bfft only along these dimensions
 - `fft_forward::Bool = true` Use `false` to have `bfft!` in forward model.
 - `unitary::Bool = false` set to `true` for unitary DFT
@@ -40,7 +40,7 @@ function Asense(
     smaps::Vector{<:AbstractArray{<:Number}},
     ;
     dims = 1:D,
-    T::DataType = ComplexF32,
+    T::Type{<:Complex{<:AbstractFloat}} = ComplexF32,
     work1::AbstractArray{Tw,D} = similar(samp, T),
     work2::AbstractArray{Tw,D} = similar(samp, T),
     unitary::Bool = false,
diff --git a/src/utility/downsample.jl b/src/utility/downsample.jl
index 27c24ffc..8dced22f 100644
--- a/src/utility/downsample.jl
+++ b/src/utility/downsample.jl
@@ -93,7 +93,7 @@ Downsample by averaging by integer factors.
 
 # option
 - `warn::Bool` warn if noninteger multiple; default `isinteractive()`
-- `T::DataType` specify output eltype; default `eltype(x[1] / down[1])`
+- `T::Type` specify output eltype; default `eltype(x[1] / down[1])`
 
 # out
 - `y [nx/down ny/down]`
@@ -102,7 +102,7 @@ function downsample2(
     x::AbstractMatrix{<:Number},
     down::NTuple{2,Int} ;
     warn::Bool = isinteractive(),
-    T::DataType = eltype(x[1] / down[1])
+    T::Type{<:Number} = eltype(x[1] / down[1])
 )
 
     idim = size(x)
@@ -148,7 +148,7 @@ Downsample by averaging by integer factors.
 
 # option
 - `warn::Bool` warn if noninteger multiple; default true
-- `T::DataType` specify output eltype; default `eltype(x[1] / down[1])`
+- `T::Type` specify output eltype; default `eltype(x[1] / down[1])`
 
 # out
 - `y (nx/down,ny/down,nz/down)`
@@ -157,7 +157,7 @@ function downsample3(
     x::AbstractArray{<:Number,3},
     down::NTuple{3,Int} ;
     warn::Bool = isinteractive(),
-    T::DataType = eltype(x[1] / down[1]),
+    T::Type{<:Number} = eltype(x[1] / down[1]),
 )
 
     idim = size(x)
@@ -176,7 +176,7 @@ downsample3(x::AbstractArray{<:Number,3}, down::Int ; args...) =
 function downsample3_loop(
     x::AbstractArray{<:Number,3},
     down::NTuple{3,Int} ;
-    T::DataType = eltype(x[1] / down[1]),
+    T::Type{<:Number} = eltype(x[1] / down[1]),
 )
 
     odim = size(x) .÷ down
diff --git a/test/mri/exp_xform.jl b/test/mri/exp_xform.jl
index 90834e7d..68c12cd4 100644
--- a/test/mri/exp_xform.jl
+++ b/test/mri/exp_xform.jl
@@ -5,7 +5,7 @@ using Test: @test, @test_throws, @inferred
 
 
 # test for given data type
-function exp_xform_test( ; T::DataType = ComplexF32)
+function exp_xform_test( ; T::Type{<:Complex{<:AbstractFloat}} = ComplexF32)
 
     modes = (:element, :row, :column)
 
diff --git a/test/nufft/nufft.jl b/test/nufft/nufft.jl
index fd52eaea..fbfb5cc8 100644
--- a/test/nufft/nufft.jl
+++ b/test/nufft/nufft.jl
@@ -19,7 +19,8 @@ Simple 1D NUFFT tests.
 """
 function nufft_test1( ;
     M::Int = 30, N::Int = 20, n_shift::Real = 1.7,
-    T::DataType = Float64, tol::Real = 7e-6,
+    T::Type{<:Number} = Float64,
+    tol::Real = 7e-6,
 )
 
     w = (rand(M) .- 0.5) * 2π
@@ -81,7 +82,8 @@ function nufft_test2( ;
     M::Int = 35,
     N::Dims = (10,8),
     n_shift::AbstractVector{<:Real} = [4,3],
-    T::DataType = Float64, tol::Real = 2e-6,
+    T::Type{<:Number} = Float64,
+    tol::Real = 2e-6,
 )
 
     w = []
diff --git a/time/exp_xform.jl b/time/exp_xform.jl
index 7d5cb07f..86063478 100644
--- a/time/exp_xform.jl
+++ b/time/exp_xform.jl
@@ -8,7 +8,7 @@ using BenchmarkTools: @btime
 
 
 # timing test
-function exp_xform_time( ; T::DataType = ComplexF32)
+function exp_xform_time( ; T::Type{<:Complex{<:AbstractFloat}} = ComplexF32)
 
     modes = (:element, :row, :column)