On coefficient-quantization and computational roundoff effects in lossless multirate filter banks

It is shown that FIR lossless transfer matrices in multirate analysis/synthesis systems having the perfect reconstruction property can be implemented such that the lossless property (and hence perfect reconstruction) can be retained regardless of coefficient quantization. Such a result was previously shown to be true only for two-channel filter banks. A noise gain result is presented for lossless systems which finds application in analyzing roundoff noise in multirate filter banks.