Analysis of linear digital networks

A framework is presented for the analysis, representation, and evaluation of digital filter structures. Based on the notation of linear signal-flow graphs and their equivalent matrix representation, a set of general linear digital network properties are reviewed, including precedence relations computability, Tellegen's theorem, interreciprocity, and network transposition. These properties are then utilized in developing time and frequency domain analysis techniques and sensitivity analysis techniques. These techniques, in turn, are applied to the comparison of several basic digital filter structures.

[1]  L. Jackson.  Roundoff-noise analysis for fixed-point digital filters realized in cascade or parallel form , 1970 .

[2]  Sanjit K. Mitra,et al.  Digital ladder networks , 1973 .

[3]  M. Sablatash,et al.  A Tellegen's Thorem for Digital Filters , 1971, IEEE Transactions on Circuit Theory.

[4]  I. Horowitz.  Synthesis of feedback systems , 1963 .

[5]  Alfred Fettweis,et al.  Suppression of parasitic oscillations in wave digital filters , 1975 .

[6]  E. Avenhaus.  On the design of digital filters with coefficients of limited word length , 1972 .

[7]  S. J. Mason.  Feedback Theory-Further Properties of Signal Flow Graphs , 1956, Proceedings of the IRE.

[8]  R. Crochiere.  Digital ladder structures and coefficient sensitivity , 1972 .

[9]  Jean-Loup Baer,et al.  A Survey of Some Theoretical Aspects of Multiprocessing , 1973, CSUR.

[10]  Leland B. Jackson,et al.  On the interaction of roundoff noise and dynamic range in digital filters , 1970, Bell Syst. Tech. J..

[11]  A. Fettweis,et al.  Correction to 'Suppression of Parasitic Oscillations in Wave Digital Filters' , 1975 .

[12]  A. Fettweis.  Pseudo-passivity, sensitivity, and stability of wave digital filters , 1972 .

[13]  A. Gray,et al.  Digital lattice and ladder filter synthesis , 1973 .

[14]  A. Fettweis,et al.  Some principles of designing digital filters imitating classical filter structures , 1971, IEEE Transactions on Circuit Theory.

[15]  L. Rabiner,et al.  Analysis of quantization errors in the direct form for finite impulse response digital filters , 1973 .

[16]  Samuel J. Mason,et al.  Feedback Theory-Some Properties of Signal Flow Graphs , 1953, Proceedings of the IRE.

[17]  R. Crochiere.  A new statistical approach to the coefficient word length problem for digital filters , 1975 .

[18]  R. Rohrer.  The Generalized Adjoint Network and Network Sensitivities , 1969 .

[19]  Alfred Fettweis,et al.  Digital filters with true ladder configuration , 1973 .

[20]  J. F. Pinel,et al.  Computer techniques for the frequency analysis of linear electrical networks , 1967 .

[21]  J. Knowles,et al.  Coefficient Accuracy and Digital Filter Response , 1968 .

[22]  S. Mitra,et al.  Canonic realizations of digital filters using the continued fraction expansion , 1972 .

[23]  A. Oppenheim,et al.  Effects of finite register length in digital filtering and the fast Fourier transform , 1972 .