Title :
Roundoff noise generated by orthogonal building blocks in signal processing structures
Author :
Liu, Vincent C. ; Vaidyanathan, P.P.
Author_Institution :
Dept. of Electr. Eng., Caltech, Pasadena, CA, USA
Abstract :
The statistics of roundoff errors produced by the multiplication of a random input vector with an orthogonal matrix can be expressed in terms of the characteristic function of the input vector. The case of a 2*2 orthogonal matrix is analyzed by assuming that the input probability mass function follows a jointly Gaussian envelope. It is found that for small dynamic ranges the two errors are not necessarily uncorrelated. However, they are uncorrelated for large dynamic range. The lossless FIR (finite-impulse-response) lattice with quantizers is considered as an example.<>
Keywords :
digital filters; roundoff errors; characteristic function; input probability mass function; lossless FIR; orthogonal building blocks; orthogonal matrix; quantizers; random input vector; roundoff errors; signal processing structures; Digital filters; Dynamic range; Error analysis; Finite impulse response filter; Lattices; Noise generators; Quantization; Roundoff errors; Signal generators; Signal processing;
Conference_Titel :
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location :
Espoo, Finland
DOI :
10.1109/ISCAS.1988.15504
