. La rivista tecnica Bell System . equency-scale può essere ottenuta in ogni caso particolare attraverso la relazione nota tra il Regno Unito e la frequenza. Una tale traslazionedei essere equivalente ad una espansione o contrazione variabile delle suddette caratteristiche parallelamente all'asse delle ascisse. Gli effetti della dissidazionesu le diverse caratteristiche sono indicati da linee tratteggiate e da showa arrotondamento di bruschi cambiamenti. Qui, per comodità, si suppone che Vk = .01 Z7a- in un ramo negativo e Vk = -Olt/i in un ramo positivo. Se ogni coppia di caratteristiche è considerata separata da un'immagine
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. The Bell System technical journal . equency-scale can be obtained in any particular case throughthe known relationship between Uk and frequency. Such a translationwould be equivalent to a variable expansion or contraction of the abovecharacteristics parallel to the abscissa-axis. The effects of dissipationon the different characteristics are indicated by broken lines and showa rounding-off of abrupt changes. Here, for convenience, it wasassumed that Vk = .01 Z7a- in a negative branch and Vk = — .Olt/i ina positive branch. If each pair of characteristics Is considered asseparated by an imaginary line perpendicular to the Z/t-axis atUk = 0, then a comparison will yield the statement that correspondingpairs of Ak, Rik and R^k are images of each other with respect to suchlines, while pairs of Bk, X^k and X^k are images but also opposite insign. ^ See also page 577 of paper in footnote 2. 298 BELL SYSTEM TECHNICAL JOURNAL BcndHire Xifv ybvcunchi ZR ^, -^ m_ L--. __JU -; 7 -1 ^. ixmmjchi . ^ZR- ^ih ^lK=^l/V+^^/ll ^ -/ ^^0 a.. Fig. 3—Characteristics of constant k wave-filters.(Broken lines indicate the efifects of dissipation.) ELECTRIC WA VE-FILTERS 299 1.4 Sequence 1 As already stated in the Introduction to this paper, the successivewave-filter structures of any class which comprise Sequence 1 arederived from the known constant ^ wave-filter taken as the initialprototype by performing in succession the operations Di(m), thenD^im), Di(m), etc. They may be considered as wave-filters ofhigher and higher order since they contain a greater and greaternumber of arbitrary parameters. The parameters of the alternateoperations Di(s) and D2{s) are in the order oi s = m, m, m, etc. The small letter m with superscripts is used as the notation for allthe parameters in order to denote their association with mid of mid-point impedances, since mid-points are under consideration here inladder type networks. Where the initial prototype is the constant k wave-filter, as it is here, I