Added a test for the script reader

pull/35/head
Matti Pastell 2016-04-22 14:44:30 +03:00
parent 2b5e8ee968
commit d2a298a1d6
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#' % FIR filter design with Julia
#' % Matti Pastell
#' % 21th April 2016
#' # Introduction
#' This an example of a julia script that can be published using
#' [Weave](http://mpastell.github.io/Weave.jl/latest/usage/).
#' The script can be executed normally using Julia
#' or published to HTML or pdf with Weave.
#' Text is written in markdown in lines starting with "`#'` " and code
#' is executed and results are included in the published document.
#' Notice that you don't need to define chunk options, but you can using
#' `#+`. just before code e.g. `#+ term=True, caption='Fancy plots.'`.
#' If you're viewing the published version have a look at the
#' [source](FIR_design.jl) to see the markup.
#' # FIR Filter Design
#' We'll implement lowpass, highpass and ' bandpass FIR filters. If
#' you want to read more about DSP I highly recommend [The Scientist
#' and Engineer's Guide to Digital Signal
#' Processing](http://www.dspguide.com/) which is freely available
#' online.
#' ## Calculating frequency response
#' DSP.jl package doesn't (yet) have a method to calculate the
#' the frequency response of a FIR filter so we define it:
using Gadfly, DSP
function FIRfreqz(b::Array, w = linspace(0, π, 1024))
n = length(w)
h = Array{Complex64}(n)
sw = 0
for i = 1:n
for j = 1:length(b)
sw += b[j]*exp(-im*w[i])^-j
end
h[i] = sw
sw = 0
end
return h
end
#' ## Design Lowpass FIR filter
#' Designing a lowpass FIR filter is very simple to do with DSP.jl, all you
#' need to do is to define the window length, cut off frequency and the
#' window. We will define a lowpass filter with cut off frequency at 5Hz for a signal
#' sampled at 20 Hz.
#' We will use the Hamming window, which is defined as:
#' $w(n) = \alpha - \beta\cos\frac{2\pi n}{N-1}$, where $\alpha=0.54$ and $\beta=0.46$
fs = 20
f = digitalfilter(Lowpass(5, fs = fs), FIRWindow(hamming(61)))
w = linspace(0, pi, 1024)
h = FIRfreqz(f, w)
#' ## Plot the frequency and impulse response
#' The next code chunk is executed in term mode, see the [script](FIR_design.jl) for syntax.
#+ term=true
h_db = log10(abs(h))
ws = w/pi*(fs/2)
plot(y = h_db, x = ws, Geom.line,
Guide.xlabel("Frequency (Hz)"), Guide.ylabel("Magnitude (db)"))
#' And again with default options
h_phase = unwrap(-atan2(imag(h),real(h)))
plot(y = h_phase, x = ws, Geom.line,
Guide.xlabel("Frequency (Hz)"), Guide.ylabel("Phase (radians)"))

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% FIR filter design with Julia
% Matti Pastell
% 21th April 2016
# Introduction
This an example of a julia script that can be published using
[Weave](http://mpastell.github.io/Weave.jl/latest/usage/).
The script can be executed normally using Julia
or published to HTML or pdf with Weave.
Text is written in markdown in lines starting with "`#'` " and code
is executed and results are included in the published document.
Notice that you don't need to define chunk options, but you can using
`#+`. just before code e.g. `#+ term=True, caption='Fancy plots.'`.
If you're viewing the published version have a look at the
[source](FIR_design.jl) to see the markup.
# FIR Filter Design
We'll implement lowpass, highpass and ' bandpass FIR filters. If
you want to read more about DSP I highly recommend [The Scientist
and Engineer's Guide to Digital Signal
Processing](http://www.dspguide.com/) which is freely available
online.
## Calculating frequency response
DSP.jl package doesn't (yet) have a method to calculate the
the frequency response of a FIR filter so we define it:
% FIR filter design with Julia
% Matti Pastell
% 21th April 2016
# Introduction
This an example of a julia script that can be published using
[Weave](http://mpastell.github.io/Weave.jl/latest/usage/).
The script can be executed normally using Julia
or published to HTML or pdf with Weave.
Text is written in markdown in lines starting with "`#'` " and code
is executed and results are included in the published document.
Notice that you don't need to define chunk options, but you can using
`#+`. just before code e.g. `#+ term=True, caption='Fancy plots.'`.
If you're viewing the published version have a look at the
[source](FIR_design.jl) to see the markup.
# FIR Filter Design
We'll implement lowpass, highpass and ' bandpass FIR filters. If
you want to read more about DSP I highly recommend [The Scientist
and Engineer's Guide to Digital Signal
Processing](http://www.dspguide.com/) which is freely available
online.
## Calculating frequency response
DSP.jl package doesn't (yet) have a method to calculate the
the frequency response of a FIR filter so we define it:
~~~~{.julia}
using Gadfly, DSP
function FIRfreqz(b::Array, w = linspace(0, π, 1024))
n = length(w)
h = Array{Complex64}(n)
sw = 0
for i = 1:n
for j = 1:length(b)
sw += b[j]*exp(-im*w[i])^-j
end
h[i] = sw
sw = 0
end
return h
end
~~~~~~~~~~~~~
## Design Lowpass FIR filter
Designing a lowpass FIR filter is very simple to do with DSP.jl, all you
need to do is to define the window length, cut off frequency and the
window. We will define a lowpass filter with cut off frequency at 5Hz for a signal
sampled at 20 Hz.
We will use the Hamming window, which is defined as:
$w(n) = \alpha - \beta\cos\frac{2\pi n}{N-1}$, where $\alpha=0.54$ and $\beta=0.46$
## Design Lowpass FIR filter
Designing a lowpass FIR filter is very simple to do with DSP.jl, all you
need to do is to define the window length, cut off frequency and the
window. We will define a lowpass filter with cut off frequency at 5Hz for a signal
sampled at 20 Hz.
We will use the Hamming window, which is defined as:
$w(n) = \alpha - \beta\cos\frac{2\pi n}{N-1}$, where $\alpha=0.54$ and $\beta=0.46$
~~~~{.julia}
fs = 20
f = digitalfilter(Lowpass(5, fs = fs), FIRWindow(hamming(61)))
w = linspace(0, pi, 1024)
h = FIRfreqz(f, w)
~~~~~~~~~~~~~
## Plot the frequency and impulse response
The next code chunk is executed in term mode, see the [script](FIR_design.jl) for syntax.
## Plot the frequency and impulse response
The next code chunk is executed in term mode, see the [script](FIR_design.jl) for syntax.
~~~~{.julia}
julia>
h_db = log10(abs(h))
1024-element Array{Float32,1}:
0.0
-1.52727e-6
-6.03147e-6
-1.35386e-5
-2.39452e-5
-3.71738e-5
-5.31213e-5
-7.16583e-5
-9.25781e-5
-0.000115803
-3.21659
-3.18342
-3.15605
-3.13379
-3.11615
-3.10275
-3.09335
-3.08778
-3.08593
julia> ws = w/pi*(fs/2)
linspace(0.0,10.0,1024)
julia> plot(y = h_db, x = ws, Geom.line,
Guide.xlabel("Frequency (Hz)"), Guide.ylabel("Magnitude (db)"))
~~~~~~~~~~~~~
![](figures/FIR_design_3_1.png)\
And again with default options
~~~~{.julia}
h_phase = unwrap(-atan2(imag(h),real(h)))
plot(y = h_phase, x = ws, Geom.line,
Guide.xlabel("Frequency (Hz)"), Guide.ylabel("Phase (radians)"))
~~~~~~~~~~~~~
![](figures/FIR_design_4_1.png)\

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@ -49,3 +49,8 @@ weave("documents/gadfly_markdown_test.jmd", doctype="github",plotlib="gadfly", i
result = @compat readstring(open("documents/gadfly_markdown_test.md"))
ref = @compat readstring(open("documents/gadfly_markdown_test_ref.md"))
@test result == ref
weave("documents/FIR_design.jl", doctype="pandoc", plotlib="gadfly", informat="script")
result = @compat readstring(open("documents/FIR_design.md"))
ref = @compat readstring(open("documents/FIR_design_ref.md"))
@test result == ref