# Accession Number:

## AD0285169

# Title:

## THE ANALYTIC FOUNDATIONS OF LINEAR, TIME-INVARIANT N-PORTS, PART I

# Descriptive Note:

# Corporate Author:

## NEW YORK UNIV N Y SCHOOL OF ENGINEERING AND SCIENCE

# Personal Author(s):

# Report Date:

## 1962-09-03

# Pagination or Media Count:

## 1.0

# Abstract:

t a single frequency, a linear, source-free time invaria t n-port N is completely characterized by the n n normalized scattering matrix S . The work of Mason, Deschamps, and Schaug-Petterson an Tonning, s revealed he very triking co nection between the basic performance properties of 2-ports and t eir invariants under lossless reciprocal embeddings leaving the number of ports unch ged. I g neral, the embed ing of an n-port N in a n-port M R UL S I A NEW N-PORT N whose scattering matrix W is a m ri bilinear transform of S . O NE MAIN OBJECTIVE IS TO SHOW THAT LOSSLES , RECIPROCAL M INDUCES TRAN FORMATIO S AT ARE STRICT ANALOGUES OF T OSE Mobius apping of e ordi ry complex plane which leave the unit circle invari nt. T e observatio s rves s t e starting point for al ost all the investigations r porte herein. Au hor AD-28516 9N1 The an lytic foundation of linear i invariant N-ports. AD-285 17 D IV. U ISTBAW OT price 1.60 P RI C TON U., N J. THE EFFECT OF VARYING MO TH-LENGTH ON ANALYSIS OF CO O IC IM SERIES Repor o Econom tric Research P ROGRAM, BY C. W . Gra ger. 30 July 6 , 1 p. incl. illus. 4 refs. Research memo. no. 41 Unclassifie repor SCRIPTORS Economics, Serie , Time, Statistical analysis, P RO UCTION. The effects due to the number of days in a month or the number of worki g days in a month not being constant are consider d. It is found that for i antaneously-recor e series he effect is negligible, bu that accumulate series may be no ic bly altered whe th ratio between the mean and standar evi tio is larg . For uc series, the high frequencies are mo t affected and spurious coher nc b e n two such seri s ay aris . Au hor AD- N1 Effect of varying mon h-length on the analy is of conomic time eries.