. Circuit theory of linear noisy networks. Electronic circuits; Amplifiers (Electronics); Noise. Canonical Form of Linear Noisy Netv^orks Lossless network transformations performed on a noisy network, in such a way that the number of terminal pairs is unchanged, change the impedance matrix as well as the noise spectra. However, these lossless network transformations do not change the eigenvalues of the character- istic noise matrix. Thus we know that each noisy network possesses some essential noise characteristics, unalterable by those lossless network transformations which preserve the numbe
. Circuit theory of linear noisy networks. Electronic circuits; Amplifiers (Electronics); Noise. Canonical Form of Linear Noisy Netv^orks Lossless network transformations performed on a noisy network, in such a way that the number of terminal pairs is unchanged, change the impedance matrix as well as the noise spectra. However, these lossless network transformations do not change the eigenvalues of the character- istic noise matrix. Thus we know that each noisy network possesses some essential noise characteristics, unalterable by those lossless network transformations which preserve the number of terminal pairs. On this basis, we expect to be able to find a fundamental form of the network which places these characteristics directly in evidence. In this chapter, we shall develop such a form of the network. This fundamental or "ca- nonical" network form is, of course, attainable through lossless network transformations performed on the original network. The existence of a canonical form for every linear noisy network greatly clarifies its most important noise characteristics and simplifies the study of fundamental limits on its noise performance. Since the canonical network contains not more than n real parameters for every w-terminal-pair network, its existence also shows that an «-terminal-pair, linear noisy network does not possess more than n (real) invariants with respect to lossless trans- formations. Derivation of the Canonical Form In this section we shall prove the following theorem: At any particular frequency, every n-terminal-pair network can he re- duced by lossless imbedding into a canonical form consisting of n separate 28. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Haus, Hermann A; Adler, Richard B. [Cambridge] Technology Press of Massachusetts Institute of Tec
Size: 1475px × 1693px
Photo credit: © The Book Worm / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1900, bookcollectionameri, bookcollectionbiodiversity
