NETWORK SYNTHESIS AND SENSITIVITY RESEARCH.

Abstract : The report covers research performed on a number of topics in active and passive network synthesis, including a review of active RC networks from a fundamental, unifying point of view, plus ways exploiting the existence of uniform variations in classes of element values, in order to achieve zero system pole movement, for large changes in element values. This is an extension of Gaash's work who showed how zero infinitesimal sensitivity could be achieved for such classes of element variations. There are presented research results in the problem of unified synthesis of single-loop feedback amplifiers to achieve prescribed gain, pole-zero pattern and sensitivity to active parameter variations. The superior properties of parallel-plant feedback amplifiers, for the same purpose as above, are demonstrated also. A Review of Quartz-Crystal Filters is concerned with the entire field of crystal filters, but the area of practical applicability is kept steadily in focus. Both image-parameter and insertion-loss design techniques are examined. Their accommodation to the exigencies of the equivalent circuit of crystal resonators receives careful attention. The interrelationships between choice of configuration, spurious resonator modes, and ratio of bandwidth to center frequency are discussed. Finally, a section is devoted to a synopsis of the recent crystal filter literature, from which seventeen references are selected for review. The last section of the document contains a complete mathematical analysis of an attractive time-domain synthesis method. Several refinements are pointed out which can lead to better reproduction of the desired impulse response without increasing circuit complexity. (Author)