Accession Number : AD0020808


Title :   TREATMENT OF DIGITAL CONTROL SYSTEMS AND NUMERICAL PROCESSES IN THE FREQUENCY DOMAIN


Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE DIGITAL COMPUTER LAB


Personal Author(s) : Craig, Jr , John W ; Salzer, J M


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/020808.pdf


Report Date : 01 Jul 1953


Pagination or Media Count : 104


Abstract : Methods developed for frequency analysis and synthesis of digital computer programs describable in the form of a linear difference equation with constant coefficients. Theorems on the realizability and stability of program transfer functions are developed, and the amplitude, phase, and locus of a program are defined. The adaptation of the methods of analog filters to digital ones is direct, although significant modification may be required. Computer programs can be synthesized along lines employed for networks. Various methods of programing are developed and compared on the basis of time and storage requirements. Criteria are given for choosing the optimum programing procedure by considering the form of the program transfer function. Examples are given of program analysis and synthesis, and one example of synthesizing a program for the compensation of a control system is worked out. Application of the methods to various problems in numerical analysis is shown. The problems of convergence (stability) and of truncation errors (approximation) can be analyzed in the frequency domain effectively. The study of conformal mapping is related to the usual methods. A novel way of estimating truncation error is shown. This numerical process is applicable to the given function only when this function can be described by its frequency spectrum.


Descriptors :   *CONFORMAL MAPPING , *COMPUTER PROGRAMS , TRANSFER FUNCTIONS , SYNTHESIS , NUMERICAL ANALYSIS , DIFFERENCE EQUATIONS , THESES , SPECTRA , COEFFICIENTS , ERRORS , CONVERGENCE , FILTERS , STORAGE , ANALOG SYSTEMS , DIGITAL COMPUTERS , TRUNCATION , LINEAR ALGEBRAIC EQUATIONS , LOCUS , CONTROL SYSTEMS , REQUIREMENTS , FREQUENCY


Subject Categories : Computer Programming and Software


Distribution Statement : APPROVED FOR PUBLIC RELEASE