A filter device for precoding {TAIL ~ a data input signal} to derive {HEAD ~ a data output signal}, comprising: 
A filter device for precoding { TAIL ~ a data input signal } to derive { HEAD ~ a data output signal } , comprising :
OTH OTH OTH OTH OTH TAIL TAIL TAIL TAIL TAIL TAIL TAIL TAIL OTH OTH HEAD HEAD HEAD HEAD HEAD HEAD HEAD HEAD OTH OTH OTH