Title :
On coefficient-quantization and computational roundoff effects in lossless multirate filter banks
Author :
Vaidyanathan, P.P.
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
fDate :
4/1/1991 12:00:00 AM
Abstract :
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
Keywords :
digital filters; matrix algebra; roundoff errors; FIR lossless transfer matrices; coefficient quantization; computational roundoff; lossless multirate filter banks; lossless property; lossless systems; multirate analysis systems; multirate synthesis systems; noise gain; perfect reconstruction; Channel bank filters; Covariance matrix; Decorrelation; Filter bank; Finite impulse response filter; Histograms; Quantization; Transmission line matrix methods;
Journal_Title :
Signal Processing, IEEE Transactions on