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Prof. Yuval Bistritz
Department of Electrical Engineering The Iby and Aladar Fleischman
Faculty of Engineering |
Yuval Bistritz received the B.Sc. in physics and
the M.Sc. and Ph.D in electrical engineering (Summa Cum Laude), in 1973, 1978,
and 1983, respectively, from
What is the Bistritz (stability) test?
A name attached (by other researchers of course) to a simple algebraic
method to determine the zero location with respect to the unit-circle of a real
(or complex) polynomial that I devised in [1984,1986]. It follows
a different form from the common classical forms of the Schur-Cohn Marden-Jury
stability tests that makes it reminiscent of the Routh test (the well known
algorithm to test stability of continuous-time systems and analog filters
devised by Routh in 1877). It is the
most efficient possible algebraic way to test stability of discrete-time systems and digital filters. I
presented in [2002] a more polished version
of the test that behaves the same for stability testing but handles the zero
location problem with extra simplicity.
What are the immittance algorithms?
Immittance is a prefix I chose for algorithms that follow the above new
formulation in order to distinguish them from corresponding so called scattering algorithms that
follow the classical formulation (used since Levinson, Schur, Cohn, Marden and
Jury). The term immittance was coined by Bode and is an abridged concatenation
of impedance
and admittance.
I encountered W. H. Bode's book Network
Analysis and Feedback Amplifier Design (1945) on Tom Kailath's shelf at
Stanford just when I needed a meaningful name for the new formulation. From a
mathematical perspective, the algorithms in the new formulation start with a
pair of polynomials whose ratio forms a unit-circle immittance function (a
function that is lossless on the unit-circle instead of on the imaginary axis).
What are the ISP / ISF parameters?
Immittance
spectral pairs (ISP)
or Immittance spectral frequencies (ISF) are stability parameters
proposed to code speech by the LPC model [1993].
They are part of many speech
compression standards: Third Generation Partnership Project
(3GPP) for GSM; Third generation mobile communication WCDMA system;
The ITU G.722.2 standard for wideband speech coding; The cdma2000®
Variable-Rate Multimode Wideband (VMR-WB) and more.
The information for students taking my courses has been
moved to our Virtual TAU.
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Last modified: Feb. 2006