On nonblocking switching networks for multichannel connections

This paper deals with switching networks for multichannel connections. The conditions under which the three-stage switching network is nonblocking for s-channel connections are given. Switching networks that are nonblocking in the strict sense as well as the switching networks nonblocking in the wide sense are considered. The conditions for two-sided and for one-sided switching networks are derived     

Rearrangeable one-sided switching networks composed of uniform time-space elements

One-sided rearrangeable switching networks composed of uniform time-space elements are considered. Two theorems presenting conditions under which two- and four-wire networks are rearrangeable are given and proven. These theorems are also applicable for multiple-linkage space-division switching networks.     

Comments on "Wide-sense nonblocking multicast Log/sub 2/(N,m,p) Networks"

Recently, Hwang and Lin derived nonblocking conditions for multicast connections in Log/sub 2/(N,m,p) networks. They improved some conditions obtained earlier by Kabacin/spl acute/ski and Danilewicz. In this letter, we identify some inaccuracy in present results concerning wide-sense nonblocking Log/sub 2/(N,m,p) multicast networks, and give the correct results.     

New structure of one-sided switching network

A new structure of a one-sided digital switching network composed of triangular switches is proposed. In this structure some triangular switches operate as two-sided ones. The proposed network contains fewer elements than those previously known     

Reliable digital switching networks

A method for the design of economic and reliable PCM switching networks composed of uniform time-space elements is proposed. The described networks can be used in switching systems containing concentrators connected by an even number of PCM links to a main switching network.     

Wide-sense and strict-sense nonblocking operation of multicastmulti-log2 n switching networks

Multicast connections are used in broad-band switching networks as well as in parallel processing. We consider wide-sense and strict-sense nonblocking conditions for multi-log₂ N switching networks with multicast connections. We prove that such networks are wide-sense nonblocking if they are designed by vertically stacking at least t · 2^n-t-1 + 2 ^n-2t-1 planes of a log₂ N networks together, where 1 ⩽ t ⩽ [n/2] and t defines the size of a blocking window K = 2^t. For t = [n/2] and n even, and for [n/2] ⩽ t ⩽ n the number of planes must be at least t · 2^n-t-1 + 1 and 2^t + (n - t - 1) · 2^n-t-1 - 2^2t-n-1 + 1, respectively. In the case of strict-sense nonblocking switching networks, the number of planes is at least N/2. The results obtained in this paper show that in many cases number of planes in wide-sense nonblocking switching networks is less than those for t = [n/2] considered by Tscha and Lee (see ibid., vol.47, p.1425-31, Sept. 1999). The number of planes given in the paper is the minimum number of planes needed for wide-sense nonblocking operation provided that Algorithm 1 is used for setting up connections. The minimum number of planes for such operation in general is still open issue     

Multirate non-blocking generalized three-stage Clos switching networks

This paper studies the non-blocking switching operation of generalized three-stage Clos (1953) switching networks in the multirate environment. The analysis presented determines the minimum number of the second-stage switches required for strictly non-blocking operation of such networks at call setup. Both the discrete and the continuous bandwidth cases are considered. For the discrete bandwidth case, sufficient and necessary conditions are derived. For the continuous bandwidth case, only sufficient conditions are given, which, in some cases, also constitute necessary conditions. The results given are, in some cases, generalizations of existing results, but they also include new results.     

Modified dilated Benes networks for photonic switching

A modified dilated Benes (1965) network composed of directional couplers is proposed. This structure is introduced to improve the signal-to-noise ratio (SNR) characteristics of dilated Benes networks. A new estimation of the SNR for dilated Benes networks is derived, and it is shown that this SNR is much worse than that previously known. The SNR for modified dilated Benes networks is estimated and compared to dilated Benes and other network architectures. Some other properties including the number of switching elements required, number of crossovers, and system attenuation are also derived and analyzed. Most of the characteristics are shown to be similar to dilated Benes networks and better than those of other well-known networks fabricated in Ti:LiNbO ₃