A unified analysis of multirate and periodically time-varying digital filters

A unified approach to the analysis of periodically timevarying digital filters is introduced. It is shown that this method may be used to describe both time and frequency domain responses. By considering multirate filters as a special class of periodically time-varying filters we have characterized the frequency response of a general multirate filter. A time domain synthesis procedure for periodically varying difference equations is also presented.

[1]  R. Golden,et al.  A holding technique to reduce number of bits in digital transfer functions , 1968 .

[2]  Bernard Friedland,et al.  Sampled-data control systems containing periodically varying members , 1960 .

[3]  I. Kalet,et al.  In-Band Generation of Synchronous Linear Data Signals , 1973, IEEE Trans. Commun..

[4]  S. Freeny,et al.  Design of digital filters for an all digital frequency division multiplex-time division multiplex translator , 1971 .

[5]  David S. Evans,et al.  FINITE-DIMENSIONAL REALIZATIONS OF DISCRETE-TIME WEIGHTING PATTERNS* , 1972 .

[6]  J. Craig,et al.  Digital filters for sample-rate reduction , 1972 .

[7]  G. Kranc,et al.  Input-output analysis of multirate feedback systems , 1957 .

[8]  Jake K. Aggarwal,et al.  Multirate digital filtering , 1972 .

[9]  Eliahu I. Jury,et al.  A note on the operational solution of linear difference equations , 1958 .

[10]  P. Franaszek,et al.  A Class of Time-Varying Digital Filters , 1969 .

[11]  C. Burrus,et al.  Time domain design of recursive digital filters , 1970 .

[12]  C. Burrus,et al.  Block realization of digital filters , 1972 .

[13]  F. J. Mullin,et al.  The analysis of sampled-data control systems with a periodically time-varying sampling rate , 1959, IRE Transactions on Automatic Control.

[14]  E. Jury,et al.  A note on multirate sampled-data systems , 1967, IEEE Transactions on Automatic Control.

[15]  Jon H. Davis.  Stability Conditions Derived from Spectral Theory: Discrete Systems with Periodic Feedback , 1972 .

[16]  C. Desoer,et al.  Linear System Theory , 1963 .