Title :
On causal linear phase IIR digital filters
Author :
Clements, Mark A. ; Pease, Jerrold W.
Author_Institution :
Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
fDate :
4/1/1989 12:00:00 AM
Abstract :
The existence of causal linear phase infinite impulse response (IIR) digital filters is investigated. The conditions for their existence are derived, and a set of examples satisfying these conditions is given. It is shown that the sequences must be integer samples of a continuous-time function, bandlimited to (- pi , pi ), which is symmetric and has zero crossings at the negative integers, and the point of symmetry can be neither an integer nor a half integer. A number of interesting properties of the related discrete- and continuous-time functions are developed.<>
Keywords :
computerised signal processing; digital filters; filtering and prediction theory; causal linear phase IIR digital filters; continuous-time function; discrete-time functions; infinite impulse response; integer samples; negative integers; Delay effects; Digital filters; Finite impulse response filter; Frequency; IIR filters; Nonlinear filters;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
