Stability Criterion for Recursive Filters
نویسنده
چکیده
A new criterion is derived that relates the stability of two-dimensional recursive filters to the properties of its cepstrum. It provides a procedure for the decomposition of unstable recursive filters having nonzero, nonimaginary frequency response into stable recursive filters. The optimal solution of the decomposition problem is discussed, including numerical implementation and nonrecursive solutions. Several numerical examples show the potentialities and limitations of the rules for decomposition and for truncation of the operators.
منابع مشابه
A Novel Reference Current Calculation Method for Shunt Active Power Filters using a Recursive Algebraic Approach
This paper presents a novel method to calculate the reference source current and the referencecompensating current for shunt active power filters (SAPFs). This method first calculates theamplitude and phase of the fundamental load current from a recursive algebraic approach blockbefore calculating the displacement power factor. Next, the amplitude of the reference mains currentis computed with ...
متن کاملAdaptive Reduced-Rank LCMV Beamforming Algorithms Based on Joint Iterative Optimization of Filters: Design and Analysis
This paper presents reduced-rank linearly constrained minimum variance (LCMV) beamforming algorithms based on joint iterative optimization of filters. The proposed reduced-rank scheme is based on a constrained joint iterative optimization of filters according to the minimum variance criterion. The proposed optimization procedure adjusts the parameters of a projection matrix and an adaptive redu...
متن کاملRecursive weighted median filters admitting negative weights and their optimization
A recursive weighted median (RWM) filter structure admitting negative weights is introduced. Much like the sample median is analogous to the sample mean, the proposed class of RWM filters is analogous to the class of infinite impulse response (IIR) linear filters. RWM filters provide advantages over linear IIR filters, offering near perfect “stopband” characteristics and robustness against nois...
متن کاملStability Testing of Two Dimensional Recursive Filters Using Mapping Methods
The stability testing of first quadrant quarter-plane (QP) two dimensional recursive digital filters had been a classical problem for the last two decades. In literature, the two major types of stability testing methods available are algebraic and mapping methods. Even though the algebraic methods can determine the stability in finite number of steps, it has a few practical limitations in its i...
متن کاملRow and Column Concatenation methods for Stability Testing of Two Dimensional Recursive Filters
–The stability testing of first quadrant quarter-plane (QP) two dimensional recursive digital filters had been a classical problem for the last two decades. In literature, the two major types of stability testing methods available are algebraic and mapping methods. Even though the algebraic methods can determine the stability in finite number of steps, it has a few practical limitations in its ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- IBM Journal of Research and Development
دوره 18 شماره
صفحات -
تاریخ انتشار 1974