```
import wave, struct, numpy, pylab, scipy
fname='./success3.wav'
def readwave(wavfilename):
"""load raw data directly from a WAV file."""
global rate
w=wave.open(wavfilename,'rb')
(nchannel, width, rate, length, comptype, compname) = w.getparams()
print "[%s] %d HZ (%0.2fsec)" %(wavfilename, rate, length/float(rate))
frames = w.readframes(length)
return numpy.array(struct.unpack("%sh" %length*nchannel,frames))
def shrink(data,deg=100):
"""condense a linear data array by a multiple of [deg]."""
global rate
small=[]
print "starting with", len(data)
for i in range(len(data)/deg):
small.append(numpy.average(data[i*deg:(i+1)*deg]))
print "ending with", len(small)
rate = rate/deg
#return small[40000:50000]
return small
def normalize(data):
"""make all data fit between -.5 and +.5"""
data=data-numpy.average(data)
big=float(max(data))
sml=float(min(data))
data=data/abs(big-sml)
data=data+float(abs(min(data)))-.47
return data
def smooth(data,deg=20,expand=False):
"""moving window average (deg = window size)."""
for i in range(len(data)-deg):
if i==0: cur,smooth=sum(data[0:deg]),[]
smooth.append(cur/deg)
cur=cur-data[i]+data[i+deg]
if expand:
for i in range(deg):
smooth.append(smooth[-1])
return smooth
def smoothListGaussian(list,degree=10,expand=False):
window=degree*2-1
weight=numpy.array([1.0]*window)
weightGauss=[]
for i in range(window):
i=i-degree+1
frac=i/float(window)
gauss=1/(numpy.exp((4*(frac))**2))
weightGauss.append(gauss)
weight=numpy.array(weightGauss)*weight
smoothed=[0.0]*(len(list)-window)
for i in range(len(smoothed)):
smoothed[i]=sum(numpy.array(list[i:i+window])*weight)/sum(weight)
if expand:
for i in range((degree*2)-1):
smoothed.append(smoothed[-1])
return smoothed
def goodSmooth(data):
#data=smooth(fix,20,True)
data=smooth(fix,100,True)
#data=smooth(fix,20,True)
return data
def makeabs(data):
"""center linear data to its average value."""
for i in range(len(data)): data[i]=abs(data[i])
return data
def invert(data):
"""obviously."""
for i in range(len(data)): data[i]=-data[i]
return data
def loadwav(fname):
"""a do-everything function to get usable, smoothed data from a WAV."""
wav=readwave(fname)
wav=shrink(wav)
wav=invert(wav)
wav=smooth(wav)
wav=smooth(wav,10)
wav=normalize(wav)
Xs=getXs(wav)
return Xs,wav
def getXs(datalen):
"""calculate time positions based on WAV frequency resolution."""
Xs=[]
for i in range(len(datalen)):
Xs.append(i*(1/float(rate)))
print len(datalen), len(Xs)
return Xs
def integrate(data):
"""integrate the function with respect to its order."""
inte=[]
for i in range(len(data)-1):
inte.append(abs(data[i]-data[i+1]))
inte.append(inte[-1])
return inte
def getPoints(Xs,data,res=10):
"""return X,Y coordinates of R peaks and calculate R-R based heartrate."""
pXs,pYs,pHRs=[],[],[]
for i in range(res,len(data)-res):
if data[i]>data[i-res]+.1 and data[i]>data[i+res]+.1:
if data[i]>data[i-1] and data[i]>data[i+1]:
pXs.append(Xs[i])
pYs.append(data[i])
if len(pXs)>1:
pHRs.append((1.0/(pXs[-1]-pXs[-2]))*60.0)
pHRs.append(pHRs[-1])
return pXs,pYs,pHRs
def bandStop(fft,fftx,low,high,show=True):
lbl="%d-%d"%(low,high)
print "band-stopping:",lbl
if show:
col=pylab.cm.spectral(low/1200.)
pylab.axvspan(low,high,alpha=.4,ec='none',label=lbl,fc=col)
#pylab.axvspan(-low,-high,fc='r',alpha=.3)
for i in range(len(fft)):
if abs(fftx[i])>low and abs(fftx[i])<high :
fft[i]=0
return fft
def getXs(data):
xs=numpy.array(range(len(data)))
xs=xs*(1.0/rate)
return xs
def clip(x,deg=1000):
return numpy.array(x[deg:-deg])
pylab.figure(figsize=(12,8))
raw = invert(shrink(readwave(fname),10))
xs = getXs(raw)
fftr = numpy.fft.fft(raw)
fft = fftr[:]
fftx= numpy.fft.fftfreq(len(raw), d=(1.0/(rate)))
pylab.subplot(2,1,1)
pylab.plot(fftx,abs(fftr),'k')
fft=bandStop(fft,fftx,30,123)
fft=bandStop(fft,fftx,160,184)
fft=bandStop(fft,fftx,294,303)
fft=bandStop(fft,fftx,386,423)
fft=bandStop(fft,fftx,534,539)
fft=bandStop(fft,fftx,585,610)
fft=bandStop(fft,fftx,654,660)
fft=bandStop(fft,fftx,773,778)
fft=bandStop(fft,fftx,893,900)
fft=bandStop(fft,fftx,1100,max(fftx))
pylab.axis([0,1200,0,2*10**6])
pylab.legend()
pylab.title("Power Spectral Analysis",fontsize=28)
pylab.ylabel("Power",fontsize=20)
pylab.xlabel("Frequency (Hz)",fontsize=20)
pylab.subplot(2,1,2)
pylab.title("Original Trace",fontsize=28)
pylab.ylabel("Potential",fontsize=20)
pylab.xlabel("Time (sec)",fontsize=20)
pylab.plot(clip(xs),clip(raw),color='.8',label='1: raw')
fix = scipy.ifft(fft)
pylab.plot(clip(xs),clip(fix)+5000,color='.6',label='2: band-stop')
pylab.plot(clip(xs),clip(goodSmooth(fix))-5000,'k',label='3: smoothed')
pylab.legend()
pylab.title("Band-Stop Filtered Trace",fontsize=28)
pylab.ylabel("Potential",fontsize=20)
pylab.xlabel("Time (sec)",fontsize=20)
pylab.subplots_adjust(hspace=.5)
pylab.savefig('out.png',dpi=100)
pylab.show()
print "COMPLETE"
```