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+/*
+* Copyright 2008 Free Software Foundation, Inc.
+*
+* This software is distributed under the terms of the GNU Public License.
+* See the COPYING file in the main directory for details.
+
+ This program is free software: you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program. If not, see <http://www.gnu.org/licenses/>.
+
+*/
+
+
+#ifndef FECVECTORS_H
+#define FECVECTORS_H
+
+#include "Vector.h"
+#include <stdint.h>
+
+
+class BitVector;
+class SoftVector;
+
+
+
+/** Shift-register (LFSR) generator. */
+class Generator {
+
+ private:
+
+ uint64_t mCoeff; ///< polynomial coefficients. LSB is zero exponent.
+ uint64_t mState; ///< shift register state. LSB is most recent.
+ uint64_t mMask; ///< mask for reading state
+ unsigned mLen; ///< number of bits used in shift register
+ unsigned mLen_1; ///< mLen - 1
+
+ public:
+
+ Generator(uint64_t wCoeff, unsigned wLen)
+ :mCoeff(wCoeff),mState(0),
+ mMask((1ULL<<wLen)-1),
+ mLen(wLen),mLen_1(wLen-1)
+ { assert(wLen<64); }
+
+ void clear() { mState=0; }
+
+ /**@name Accessors */
+ //@{
+ uint64_t state() const { return mState & mMask; }
+ unsigned size() const { return mLen; }
+ //@}
+
+ /**
+ Calculate one bit of a syndrome.
+ This is in the .h for inlining.
+ */
+ void syndromeShift(unsigned inBit)
+ {
+ const unsigned fb = (mState>>(mLen_1)) & 0x01;
+ mState = (mState<<1) ^ (inBit & 0x01);
+ if (fb) mState ^= mCoeff;
+ }
+
+ /**
+ Update the generator state by one cycle.
+ This is in the .h for inlining.
+ */
+ void encoderShift(unsigned inBit)
+ {
+ const unsigned fb = ((mState>>(mLen_1)) ^ inBit) & 0x01;
+ mState <<= 1;
+ if (fb) mState ^= mCoeff;
+ }
+
+
+};
+
+
+
+
+/** Parity (CRC-type) generator and checker based on a Generator. */
+class Parity : public Generator {
+
+ protected:
+
+ unsigned mCodewordSize;
+
+ public:
+
+ Parity(uint64_t wCoefficients, unsigned wParitySize, unsigned wCodewordSize)
+ :Generator(wCoefficients, wParitySize),
+ mCodewordSize(wCodewordSize)
+ { }
+
+ /** Compute the parity word and write it into the target segment. */
+ void writeParityWord(const BitVector& data, BitVector& parityWordTarget, bool invert=true);
+
+ /** Compute the syndrome of a received sequence. */
+ uint64_t syndrome(const BitVector& receivedCodeword);
+};
+
+
+
+
+/**
+ Class to represent convolutional coders/decoders of rate 1/2, memory length 4.
+ This is the "workhorse" coder for most GSM channels.
+*/
+class ViterbiR2O4 {
+
+ private:
+ /**name Lots of precomputed elements so the compiler can optimize like hell. */
+ //@{
+ /**@name Core values. */
+ //@{
+ static const unsigned mIRate = 2; ///< reciprocal of rate
+ static const unsigned mOrder = 4; ///< memory length of generators
+ //@}
+ /**@name Derived values. */
+ //@{
+ static const unsigned mIStates = 0x01 << mOrder; ///< number of states, number of survivors
+ static const uint32_t mSMask = mIStates-1; ///< survivor mask
+ static const uint32_t mCMask = (mSMask<<1) | 0x01; ///< candidate mask
+ static const uint32_t mOMask = (0x01<<mIRate)-1; ///< ouput mask, all iRate low bits set
+ static const unsigned mNumCands = mIStates*2; ///< number of candidates to generate during branching
+ static const unsigned mDeferral = 6*mOrder; ///< deferral to be used
+ //@}
+ //@}
+
+ /** Precomputed tables. */
+ //@{
+ uint32_t mCoeffs[mIRate]; ///< polynomial for each generator
+ uint32_t mStateTable[mIRate][2*mIStates]; ///< precomputed generator output tables
+ uint32_t mGeneratorTable[2*mIStates]; ///< precomputed coder output table
+ //@}
+
+ public:
+
+ /**
+ A candidate sequence in a Viterbi decoder.
+ The 32-bit state register can support a deferral of 6 with a 4th-order coder.
+ */
+ typedef struct candStruct {
+ uint32_t iState; ///< encoder input associated with this candidate
+ uint32_t oState; ///< encoder output associated with this candidate
+ float cost; ///< cost (metric value), float to support soft inputs
+ } vCand;
+
+ /** Clear a structure. */
+ void clear(vCand& v)
+ {
+ v.iState=0;
+ v.oState=0;
+ v.cost=0;
+ }
+
+
+ private:
+
+ /**@name Survivors and candidates. */
+ //@{
+ vCand mSurvivors[mIStates]; ///< current survivor pool
+ vCand mCandidates[2*mIStates]; ///< current candidate pool
+ //@}
+
+ public:
+
+ unsigned iRate() const { return mIRate; }
+ uint32_t cMask() const { return mCMask; }
+ uint32_t stateTable(unsigned g, unsigned i) const { return mStateTable[g][i]; }
+ unsigned deferral() const { return mDeferral; }
+
+
+ ViterbiR2O4();
+
+ /** Set all cost metrics to zero. */
+ void initializeStates();
+
+ /**
+ Full cycle of the Viterbi algorithm: branch, metrics, prune, select.
+ @return reference to minimum-cost candidate.
+ */
+ const vCand& step(uint32_t inSample, const float *probs, const float *iprobs);
+
+ private:
+
+ /** Branch survivors into new candidates. */
+ void branchCandidates();
+
+ /** Compute cost metrics for soft-inputs. */
+ void getSoftCostMetrics(uint32_t inSample, const float *probs, const float *iprobs);
+
+ /** Select survivors from the candidate set. */
+ void pruneCandidates();
+
+ /** Find the minimum cost survivor. */
+ const vCand& minCost() const;
+
+ /**
+ Precompute the state tables.
+ @param g Generator index 0..((1/rate)-1)
+ */
+ void computeStateTables(unsigned g);
+
+ /**
+ Precompute the generator outputs.
+ mCoeffs must be defined first.
+ */
+ void computeGeneratorTable();
+
+};
+
+
+
+
+class BitVector : public Vector<char> {
+
+
+ public:
+
+ /**@name Constructors. */
+ //@{
+
+ /**@name Casts of Vector constructors. */
+ //@{
+ BitVector(char* wData, char* wStart, char* wEnd)
+ :Vector<char>(wData,wStart,wEnd)
+ { }
+ BitVector(size_t len=0):Vector<char>(len) {}
+ BitVector(const Vector<char>& source):Vector<char>(source) {}
+ BitVector(Vector<char>& source):Vector<char>(source) {}
+ BitVector(const Vector<char>& source1, const Vector<char> source2):Vector<char>(source1,source2) {}
+ //@}
+
+ /** Construct from a string of "0" and "1". */
+ BitVector(const char* valString);
+ //@}
+
+ /** Index a single bit. */
+ bool bit(size_t index) const
+ {
+ // We put this code in .h for fast inlining.
+ const char *dp = mStart+index;
+ assert(dp<mEnd);
+ return (*dp) & 0x01;
+ }
+
+ /**@name Casts and overrides of Vector operators. */
+ //@{
+ BitVector segment(size_t start, size_t span)
+ {
+ char* wStart = mStart + start;
+ char* wEnd = wStart + span;
+ assert(wEnd<=mEnd);
+ return BitVector(NULL,wStart,wEnd);
+ }
+
+ BitVector alias()
+ { return segment(0,size()); }
+
+ const BitVector segment(size_t start, size_t span) const
+ { return (BitVector)(Vector<char>::segment(start,span)); }
+
+ BitVector head(size_t span) { return segment(0,span); }
+ const BitVector head(size_t span) const { return segment(0,span); }
+ BitVector tail(size_t start) { return segment(start,size()-start); }
+ const BitVector tail(size_t start) const { return segment(start,size()-start); }
+ //@}
+
+
+ void zero() { fill(0); }
+
+ /**@name FEC operations. */
+ //@{
+ /** Calculate the syndrome of the vector with the given Generator. */
+ uint64_t syndrome(Generator& gen) const;
+ /** Calculate the parity word for the vector with the given Generator. */
+ uint64_t parity(Generator& gen) const;
+ /** Encode the signal with the GSM rate 1/2 convolutional encoder. */
+ void encode(const ViterbiR2O4& encoder, BitVector& target);
+ //@}
+
+
+ /** Invert 0<->1. */
+ void invert();
+
+ /**@name Byte-wise operations. */
+ //@{
+ /** Reverse an 8-bit vector. */
+ void reverse8();
+ /** Reverse groups of 8 within the vector (byte reversal). */
+ void LSB8MSB();
+ //@}
+
+ /**@name Serialization and deserialization. */
+ //@{
+ uint64_t peekField(size_t readIndex, unsigned length) const;
+ uint64_t readField(size_t& readIndex, unsigned length) const;
+ void fillField(size_t writeIndex, uint64_t value, unsigned length);
+ void writeField(size_t& writeIndex, uint64_t value, unsigned length);
+ //@}
+
+ /** Sum of bits. */
+ unsigned sum() const;
+
+ /** Reorder bits, dest[i] = this[map[i]]. */
+ void map(const unsigned *map, size_t mapSize, BitVector& dest) const;
+
+ /** Reorder bits, dest[map[i]] = this[i]. */
+ void unmap(const unsigned *map, size_t mapSize, BitVector& dest) const;
+
+ /** Pack into a char array. */
+ void pack(unsigned char*) const;
+
+ /** Unopack from a char array. */
+ void unpack(const unsigned char*);
+
+};
+
+
+
+std::ostream& operator<<(std::ostream&, const BitVector&);
+
+
+
+
+
+
+/**
+ The SoftVector class is used to represent a soft-decision signal.
+ Values 0..1 represent probabilities that a bit is "true".
+ */
+class SoftVector: public Vector<float> {
+
+ public:
+
+ /** Build a SoftVector of a given length. */
+ SoftVector(size_t wSize=0):Vector<float>(wSize) {}
+
+ /** Construct a SoftVector from a C string of "0", "1", and "X". */
+ SoftVector(const char* valString);
+
+ /** Construct a SoftVector from a BitVector. */
+ SoftVector(const BitVector& source);
+
+ /**
+ Wrap a SoftVector around a block of floats.
+ The block will be delete[]ed upon desctuction.
+ */
+ SoftVector(float *wData, unsigned length)
+ :Vector<float>(wData,length)
+ {}
+
+ SoftVector(float* wData, float* wStart, float* wEnd)
+ :Vector<float>(wData,wStart,wEnd)
+ { }
+
+ /**
+ Casting from a Vector<float>.
+ Note that this is NOT pass-by-reference.
+ */
+ SoftVector(Vector<float> source)
+ :Vector<float>(source)
+ {}
+
+
+ /**@name Casts and overrides of Vector operators. */
+ //@{
+ SoftVector segment(size_t start, size_t span)
+ {
+ float* wStart = mStart + start;
+ float* wEnd = wStart + span;
+ assert(wEnd<=mEnd);
+ return SoftVector(NULL,wStart,wEnd);
+ }
+
+ SoftVector alias()
+ { return segment(0,size()); }
+
+ const SoftVector segment(size_t start, size_t span) const
+ { return (SoftVector)(Vector<float>::segment(start,span)); }
+
+ SoftVector head(size_t span) { return segment(0,span); }
+ const SoftVector head(size_t span) const { return segment(0,span); }
+ SoftVector tail(size_t start) { return segment(start,size()-start); }
+ const SoftVector tail(size_t start) const { return segment(start,size()-start); }
+ //@}
+
+ /** Decode soft symbols with the GSM rate-1/2 Viterbi decoder. */
+ void decode(ViterbiR2O4 &decoder, BitVector& target) const;
+
+ /** Fill with "unknown" values. */
+ void unknown() { fill(0.5F); }
+
+ /** Return a hard bit value from a given index by slicing. */
+ bool bit(size_t index) const
+ {
+ const float *dp = mStart+index;
+ assert(dp<mEnd);
+ return (*dp)>0.5F;
+ }
+
+ /** Slice the whole signal into bits. */
+ BitVector sliced() const;
+
+};
+
+
+
+std::ostream& operator<<(std::ostream&, const SoftVector&);
+
+
+
+
+
+
+#endif
+// vim: ts=4 sw=4
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