On the Frequency-Domain Properties of Savitzky-Golay Filters
HPL-2010-109 On the Frequency-Domain Properties of Savitzky-Golay Filters - Schafer, Ronald W. Keyword(s): Savitzky-Golay filter, least-squares polynomial approximation, smoothing Abstract: This paper is concerned with the frequency-domain properties of the so called Savitzky-Golay lowpass filters, which are based on the principle of local least-squares fitting of a polynomial. A summary of the important frequency-domain properties is given along with an empirically-derived formula for ... Full Report
I have a value X, a value DX and an odd integer N (say N=9) and want to create an array such that
let X = 10, DX = 2 and N = 9
DIST(1) = X - 4 * DX
DIST(2) = X - 3 * DX
DIST(3) = X - 2 * DX
DIST(4) = X - DX
DIST(5) = X
DIST(6) = X + DX
DIST(7) = X + 2 * DX
DIST(8) = X + 3 * DX
DIST(9)... (2 Replies)
Hi
I am a newbie to Unix . I am just trying to understand the difference between various filters for ps. Can someoen pelase explain me whta is the difference between using /usr/bin/ps -ef | grep <PID> or <Process name> and /usr/bin/ps -auxwww| grep <PID> or <Process Name>. (1 Reply)
Dear Expert,
i have linux box that is running in the windows domain, BUT did not being a member of the domain. as I am not the System Administrator so I have no control on the server in the network, such as modify dns entry , add the linux box in AD and domain record and so on that relevant.
... (2 Replies)
I encountered some complicated problems course studies.
take this for example:
under /home/data/stockdata
we have 1999,2000,2001,.......2004 these sub-dirs
and, each sub-dir has its mothly(for Jan~Dec) transaction records,
i.e. they are all named "foo.txt", like this:
Date ... (2 Replies)
Mason::Manual::Filters(3pm) User Contributed Perl Documentation Mason::Manual::Filters(3pm)NAME
Mason::Manual::Filters - Content filters in Mason
DESCRIPTION
Filters can be used to process portions of content in a component.
A set of filters comes built-in with Mason - see Mason::Filters::Standard. Others will be available on CPAN, and it is easy to create your
own.
INVOKING
Block invocation
Here's the standard way of invoking a filter:
% $.Trim {{
This string will be trimmed
% }} # end Trim
A double open brace ("{{") at the end of a "%-line" denotes a filter call. The filtered content begins just afterwards and ends at the
"}}". Both "{{" and "}}" may be followed by a comment.
The expression "$.Trim", aka "$self->Trim", is a method call on the component object which returns a filter. In general everything before
the "{{" is evaluated and is expected to return a filter or list of filters.
By convention, and to avoid name clashes with other component methods, filters use CamelCase rather than traditional underscore names.
Filters can take arguments:
% $.Repeat(3) {{
There's no place like home.
% }}
==> There's no place like home.
There's no place like home.
There's no place like home.
Since the expression "$.Repeat(3)" returns a filter, it can be curried:
% my $repeat_three = $.Repeat(3);
% $repeat_three {{
There's no place like home.
% }}
You can create one-off filters with anonymous subroutines. The subroutine receives the content in both $_[0] and $_, and should return the
filtered content.
% sub { reverse($_[0]) } {{
Hello
% }}
==> olleH
% sub { s/ //g; $_[0] } {{
A bunch of words
% }}
==> Abunchofwords
Filters can be nested, with separate lines:
% $.Trim {{
% sub { uc($_[0]) } {{
This string will be trimmed and uppercased
% }}
% }}
or on a single line:
% $.Trim, sub { uc($_[0]) } {{
This will be trimmed and uppercased
% }}
Multiple filters within the same tag are applied, intuitively, in reverse order with the last one being innermost. e.g. in this block
% my $i = 1;
% $.Repeat(3), $.Cache($key, '1 hour') {{
<% $i++ %>
% }}
=> 1 1 1
the output of "<% $i++ %>" is cached, and then repeated three times, whereas in this block
% my $i = 1;
% $.Cache($key, '1 hour'), $.Repeat(3) {{
<% $i++ %>
% }}
=> 1 2 3
"<% $i++ %>" is executed and output three times, and then the whole thing cached.
Pipe invocation
Filters can also appear in a limited way inside a regular "<% %>" tag:
<% $content | NoBlankLines,Trim %>
The filter list appears after a << | >> character and must contain one or more comma-separated names. The names are treated as methods on
the current component class. With this syntax you cannot use anonymous subroutines or variables as filters, or pass arguments to filters.
However in a pinch you can define local filter methods to get around this, e.g.
<%class>
method Repeat3 { $.Repeat(3); }
</%class>
...
<% $message_body | Repeat3 %>
For consistency with other syntax, multiple names are applied in reverse order with the rightmost applied first.
One common use of this form is to escape HTML strings in web content, using the "H" filter in Mason::Plugin::HTMLFilters:
<% $message_body | H %>
Default filters
Mason::Plugin::DefaultFilter allows you to define default filters that will automatically apply to all substitution tags. It is analagous
to HTML::Mason's default_escape_flags setting.
Manual invocation
$m->filter can be used to manually apply filter(s) to a string. It returns the filtered output. e.g.
<%init>
...
my $filtered_string = $m->filter($.Trim, $.NoBlankLines, $string);
</%init>
CREATING A FILTER
Package and naming
By convention, filters are placed in roles so that they can be composed into Mason::Component or a subclass thereof. Take a look at
Mason::Filters::Standard for an example.
Also by convention, filters use CamelCase rather than traditional underscore_separated naming. Filter methods have to coexist with other
methods in the Mason::Component namespace, so have to be distinguishable somehow, and we thought this was preferable to a "filter_" prefix
or suffix. Of course, you are free to choose your own convention, but you should expect this naming in the standard filters at least.
Here's a filter package that implements two filters, "Upper" and "Lower":
package MyApp::Filters;
use Mason::PluginRole;
method Upper () {
return sub { uc($_[0]) }
}
method Lower () {
return sub { lc($_[0]) }
}
1;
To use these in a component:
<%class>
with 'MyApp::Filters';
</%class>
% $.Upper {{
...
% }}
Or if you want them available to all components, put them in "Base.mp" at the top of your component hierarchy, or in your application's
"Mason::Component" subclass.
Simple vs. dynamic filters
A simple filter is a code ref which takes a string (via either $_[0] and $_) and returns the output. Your filter method should return this
code ref. e.g.
method Rot13 () {
return sub {
my $text = $_[0];
$text =~ tr/a-zA-Z/n-za-mN-ZA-M/;
return $text;
}
}
A dynamic filter is an object of class "Mason::DynamicFilter". It contains a code ref which takes a yield block and returns the output. A
yield block is a zero-argument code ref that returns a content string. e.g. this is functionally identical to the above:
method Rot13 () {
return Mason::DynamicFilter->new(
filter => sub {
my $yield = $_[0];
my $text = $yield->();
$text =~ tr/a-zA-Z/n-za-mN-ZA-M/;
return $text;
}
);
}
The dynamic filter obviously doesn't buy you anything in this case, and for the majority of filters they are unneeded. The real power of
dynamic filters is that they can choose if and when to execute the yield block. For example, here is an implementation (slightly expanded
for explanatory purposes) of the "Cache" filter in Mason::Plugin::Cache:
method Cache ( $key, $set_options ) {
return Mason::DynamicFilter->new(
filter => sub {
my $yield = $_[0];
my $cache = $self->cache;
my $output = $cache->get( $key );
if (!$output) {
$output = $yield->();
$cache->set( $key, $output, $set_options );
}
return $output;
}
);
}
Notice that we call "$cache->get" first, and return the output immediately if it is in the cache. Only on a cache miss do we actually
execute the (presumably expensive) yield block.
"Defer" and "Repeat" are two other examples of dynamic filters. See Mason::Filters::Standard for their implementations.
<%filter> block
You can use the "<%filter>" block to define filters that output content. It works just like a "<%method>" block, except that you can call
"$yield->()" to generate the original content. e.g.
<%filter Item ($class)>
<li class="<% $class %>"><% $yield->() %></li>
</%filter>
% $.Item('std') {{
First
% }}
% $.Item('std') {{
Second
% }}
generates
<li class="std">
First
</li>
<li class="std">
Second
</li>
SEE ALSO
Mason::Filters::Standard, Mason
AUTHOR
Jonathan Swartz <swartz@pobox.com>
COPYRIGHT AND LICENSE
This software is copyright (c) 2011 by Jonathan Swartz.
This is free software; you can redistribute it and/or modify it under the same terms as the Perl 5 programming language system itself.
perl v5.14.2 2012-05-02 Mason::Manual::Filters(3pm)
