📄 synwtfilterintlift5x3.java
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int outLen = lowLen + highLen; //Length of the output signal
int iStep = 2*outStep; //Upsampling in outSig
int ik; //Indexing outSig
int lk; //Indexing lowSig
int hk; //Indexing highSig
/*
*Generate even samples (inverse low-pass filter)
*/
//Initialize counters
lk = lowOff;
hk = highOff;
ik = outOff + outStep;
//Apply lifting step to each "inner" sample.
for(i = 1; i<outLen-1; i += 2) {
outSig[ik] = lowSig[lk] -
((highSig[hk] + highSig[hk+highStep] + 2)>>2);
lk += lowStep;
hk += highStep;
ik += iStep;
}
if ( (outLen>1) && (outLen%2==0) ) {
// symmetric extension.
outSig[ik] = lowSig[lk] - ((2*highSig[hk]+2)>>2);
}
/*
*Generate odd samples (inverse high pass-filter)
*/
//Initialize counters
hk = highOff;
ik = outOff;
if ( outLen>1 ) {
outSig[ik] = highSig[hk] + outSig[ik+outStep];
}
else {
// Normalize for Nyquist gain
outSig[ik] = highSig[hk]>>1;
}
hk += highStep;
ik += iStep;
//Apply first lifting step to each "inner" sample.
for(i = 2; i < outLen-1; i += 2) {
// Since signs are inversed (add instead of substract)
// the +1 rounding dissapears.
outSig[ik] = highSig[hk] +
((outSig[ik-outStep] + outSig[ik+outStep]) >> 1);
hk += highStep;
ik += iStep;
}
//Handle head boundary effect if input signal has odd length.
if(outLen%2==1 && outLen>1) {
outSig[ik] = highSig[hk] + outSig[ik-outStep];
}
}
/**
* Returns the negative support of the low-pass analysis filter. That is
* the number of taps of the filter in the negative direction.
*
* @return 2
* */
public int getAnLowNegSupport() {
return 2;
}
/**
* Returns the positive support of the low-pass analysis filter. That is
* the number of taps of the filter in the negative direction.
*
* @return The number of taps of the low-pass analysis filter in the
* positive direction
* */
public int getAnLowPosSupport() {
return 2;
}
/**
* Returns the negative support of the high-pass analysis filter. That is
* the number of taps of the filter in the negative direction.
*
* @return The number of taps of the high-pass analysis filter in
* the negative direction
* */
public int getAnHighNegSupport() {
return 1;
}
/**
* Returns the positive support of the high-pass analysis filter. That is
* the number of taps of the filter in the negative direction.
*
* @return The number of taps of the high-pass analysis filter in
* the positive direction
* */
public int getAnHighPosSupport() {
return 1;
}
/**
* Returns the negative support of the low-pass synthesis filter. That is
* the number of taps of the filter in the negative direction.
*
* <P>A MORE PRECISE DEFINITION IS NEEDED
*
* @return The number of taps of the low-pass synthesis filter in the
* negative direction
* */
public int getSynLowNegSupport() {
return 1;
}
/**
* Returns the positive support of the low-pass synthesis filter. That is
* the number of taps of the filter in the negative direction.
*
* <P>A MORE PRECISE DEFINITION IS NEEDED
*
* @return The number of taps of the low-pass synthesis filter in the
* positive direction
* */
public int getSynLowPosSupport() {
return 1;
}
/**
* Returns the negative support of the high-pass synthesis filter. That is
* the number of taps of the filter in the negative direction.
*
* <P>A MORE PRECISE DEFINITION IS NEEDED
*
* @return The number of taps of the high-pass synthesis filter in the
* negative direction
* */
public int getSynHighNegSupport() {
return 2;
}
/**
* Returns the positive support of the high-pass synthesis filter. That is
* the number of taps of the filter in the negative direction.
*
* <P>A MORE PRECISE DEFINITION IS NEEDED
*
* @return The number of taps of the high-pass synthesis filter in the
* positive direction
* */
public int getSynHighPosSupport() {
return 2;
}
/**
* Returns the implementation type of this filter, as defined in this
* class, such as WT_FILTER_INT_LIFT, WT_FILTER_FLOAT_LIFT,
* WT_FILTER_FLOAT_CONVOL.
*
* @return WT_FILTER_INT_LIFT.
* */
public int getImplType() {
return WT_FILTER_INT_LIFT;
}
/**
* Returns the reversibility of the filter. A filter is considered
* reversible if it is suitable for lossless coding.
*
* @return true since the 5x3 is reversible, provided the appropriate
* rounding is performed.
* */
public boolean isReversible() {
return true;
}
/**
* Returns true if the wavelet filter computes or uses the same "inner"
* subband coefficient as the full frame wavelet transform, and false
* otherwise. In particular, for block based transforms with reduced
* overlap, this method should return false. The term "inner" indicates
* that this applies only with respect to the coefficient that are not
* affected by image boundaries processings such as symmetric extension,
* since there is not reference method for this.
*
* <P>The result depends on the length of the allowed overlap when
* compared to the overlap required by the wavelet filter. It also depends
* on how overlap processing is implemented in the wavelet filter.
*
* @param tailOvrlp This is the number of samples in the input signal
* before the first sample to filter that can be used for overlap.
*
* @param headOvrlp This is the number of samples in the input signal
* after the last sample to filter that can be used for overlap.
*
* @param inLen This is the lenght of the input signal to filter.The
* required number of samples in the input signal after the last sample
* depends on the length of the input signal.
*
* @return true if both overlaps are greater than 2, and correct
* processing is applied in the analyze() method.
* */
public boolean isSameAsFullWT(int tailOvrlp, int headOvrlp, int inLen) {
//If the input signal has even length.
if(inLen % 2 == 0) {
if(tailOvrlp >= 2 && headOvrlp >= 1) return true;
else return false;
}
//Else if the input signal has odd length.
else {
if(tailOvrlp >= 2 && headOvrlp >= 2) return true;
else return false;
}
}
/**
* Returns a string of information about the synthesis wavelet filter
*
* @return wavelet filter type.
* */
public String toString(){
return "w5x3 (lifting)";
}
}
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