<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html> <head> <!-- Generated by HsColour, http://www.cs.york.ac.uk/fp/darcs/hscolour/ --> <title>src/ForSyDe/Shallow/FIR.hs</title> <link type='text/css' rel='stylesheet' href='hscolour.css' /> </head> <body> <pre><a name="line-1"></a><span class='hs-comment'>----------------------------------------------------------------------------</span> <a name="line-2"></a><span class='hs-comment'>-- |</span> <a name="line-3"></a><span class='hs-comment'>-- Module : ForSyDe.Shallow.FIR</span> <a name="line-4"></a><span class='hs-comment'>-- Copyright : (c) SAM Group, KTH/ICT/ECS 2007-2008</span> <a name="line-5"></a><span class='hs-comment'>-- License : BSD-style (see the file LICENSE)</span> <a name="line-6"></a><span class='hs-comment'>-- </span> <a name="line-7"></a><span class='hs-comment'>-- Maintainer : forsyde-dev@ict.kth.se</span> <a name="line-8"></a><span class='hs-comment'>-- Stability : experimental</span> <a name="line-9"></a><span class='hs-comment'>-- Portability : portable</span> <a name="line-10"></a><span class='hs-comment'>--</span> <a name="line-11"></a><span class='hs-comment'>-- This module implements a FIR filters for the synchronous computational model.</span> <a name="line-12"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span> <a name="line-13"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>ForSyDe</span><span class='hs-varop'>.</span><span class='hs-conid'>Shallow</span><span class='hs-varop'>.</span><span class='hs-conid'>FIR</span> <span class='hs-layout'>(</span><span class='hs-varid'>firSY</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span> <a name="line-14"></a> <a name="line-15"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>ForSyDe</span><span class='hs-varop'>.</span><span class='hs-conid'>Shallow</span><span class='hs-varop'>.</span><span class='hs-conid'>SynchronousLib</span> <a name="line-16"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>ForSyDe</span><span class='hs-varop'>.</span><span class='hs-conid'>Shallow</span><span class='hs-varop'>.</span><span class='hs-conid'>CoreLib</span> <a name="line-17"></a> <a name="line-18"></a><a name="firSY"></a><span class='hs-comment'>-- | The function firSY implements a FIR-filter for the synchronous computational model. All kinds of FIR-filters can now be modeled by means of 'firSY'. The only argument needed is the list of coefficients, which is given as a vector of any size. To illustrate this, an 8-th order band pass filter is modeled as follows. </span> <a name="line-19"></a><span class='hs-comment'>--</span> <a name="line-20"></a><span class='hs-comment'>-- > bp = firSY (vector [0.06318761339784, 0.08131651217682, 0.09562326700432, </span> <a name="line-21"></a><span class='hs-comment'>-- > 0.10478344432968, 0.10793629404886, 0.10478344432968, </span> <a name="line-22"></a><span class='hs-comment'>-- > 0.09562326700432, 0.08131651217682, 0.06318761339784 ])</span> <a name="line-23"></a><span class='hs-comment'>-- </span> <a name="line-24"></a><span class='hs-definition'>firSY</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Vector</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <a name="line-25"></a><span class='hs-definition'>firSY</span> <span class='hs-varid'>h</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>innerProdSY</span> <span class='hs-varid'>h</span> <span class='hs-varop'>.</span> <span class='hs-varid'>sipoSY</span> <span class='hs-varid'>k</span> <span class='hs-num'>0.0</span> <a name="line-26"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lengthV</span> <span class='hs-varid'>h</span> <a name="line-27"></a> <a name="line-28"></a><a name="sipoSY"></a><span class='hs-definition'>sipoSY</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Vector</span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <a name="line-29"></a><span class='hs-definition'>sipoSY</span> <span class='hs-varid'>n</span> <span class='hs-varid'>s0</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unzipxSY</span> <span class='hs-varop'>.</span> <span class='hs-varid'>scanldSY</span> <span class='hs-varid'>shiftrV</span> <span class='hs-varid'>initState</span> <a name="line-30"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>initState</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>copyV</span> <span class='hs-varid'>n</span> <span class='hs-varid'>s0</span> <a name="line-31"></a> <a name="line-32"></a><a name="innerProdSY"></a><span class='hs-definition'>innerProdSY</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Num</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Vector</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Vector</span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <a name="line-33"></a><span class='hs-definition'>innerProdSY</span> <span class='hs-varid'>coeffs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>zipWithxSY</span> <span class='hs-layout'>(</span><span class='hs-varid'>ipV</span> <span class='hs-varid'>coeffs</span><span class='hs-layout'>)</span> <a name="line-34"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>ipV</span> <span class='hs-conid'>NullV</span> <span class='hs-conid'>NullV</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>0</span> <a name="line-35"></a> <span class='hs-varid'>ipV</span> <span class='hs-layout'>(</span><span class='hs-varid'>h</span><span class='hs-conop'>:></span><span class='hs-varid'>hv</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-conop'>:></span><span class='hs-varid'>xv</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>h</span><span class='hs-varop'>*</span><span class='hs-varid'>x</span> <span class='hs-varop'>+</span> <span class='hs-varid'>ipV</span> <span class='hs-varid'>hv</span> <span class='hs-varid'>xv</span> <a name="line-36"></a> <span class='hs-varid'>ipV</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>error</span> <span class='hs-str'>"Vector of different length"</span> </pre></body> </html>