“…is a linearly decreasing function of r from around 1.0 to 0.4 [6,12,14,18,19,24], or a exponentially decreasing function of r [15], while some treat as constant throughout the iteration process between 0.5 and 1 [7,13,21]. Among others, in [8]ω is a linearly increasing function of r .…”
Section: Problem Statement and Preliminariesmentioning
confidence: 99%
“…Since the conditional probability in the formula is independent of t , i.e. the resulting conditional probability for different in (18) the iteration number r (or equivalently, t ) may be very large, while the present achievement is poor (for example, just like a new beginner), then the efforts done before will be almost in vain.…”
“…is a linearly decreasing function of r from around 1.0 to 0.4 [6,12,14,18,19,24], or a exponentially decreasing function of r [15], while some treat as constant throughout the iteration process between 0.5 and 1 [7,13,21]. Among others, in [8]ω is a linearly increasing function of r .…”
Section: Problem Statement and Preliminariesmentioning
confidence: 99%
“…Since the conditional probability in the formula is independent of t , i.e. the resulting conditional probability for different in (18) the iteration number r (or equivalently, t ) may be very large, while the present achievement is poor (for example, just like a new beginner), then the efforts done before will be almost in vain.…”
“…In this regard, multi-frequency transmission line transformers (TLTs) have been reported in literature [1][2][3][4]. In [1], closed form design equations for the dual-frequency TLT were presented.…”
Section: Introductionmentioning
confidence: 99%
“…Tri-frequency and quadfrequency TLTs were reported in [2,3], respectively. Furthermore, the general design of multi-frequency TLTs for arbitrary number of operating frequencies was presented in [4]. On the other hand, other dual-frequency matching networks, namely T-shaped and π-shaped matching networks were presented in [5,6].…”
Abstract-In this paper, different topologies of dual-frequency modified 3-way Bagley polygon power dividers are designed and analyzed. Equal split power division is achieved at arbitrary design frequencies. In the first structure, two-section transmission line transformer is used to realize the dual-frequency operation. In the second and third structures, dual-frequency T-shaped and π-shaped matching networks are used. For the sake of simplicity, closed form design equations are presented for each matching network. To validate the design procedure, three examples are designed, simulated, and fabricated. The three matching networks are explored through these three examples. The design frequencies are chosen to be 0.5 GHz and 1 GHz.
“…Based on Parad's theory [13], the even-odd mode analysis can be adapted to carry out the analysis. When two signals are applied at the output ports 2 and 3, with same amplitude and phase (even mode), the circuit can be modeled as two separate transmission line transformers [14], and the isolation resistors are open circuited as shown in Figure 2. This mode can be used to find the characteristic impedances and electrical lengths of the TLTs by imposing the matching condition at the input or output ports.…”
Abstract-In this paper, a new simple design procedure of multifrequency unequal split Wilkinson power dividers (WPDs) is presented. The procedure is based on using N -sections of transmission line transformers, instead of the conventional quarter-wave WPD branches, to realize a WPD that operates at N frequencies. Good isolation is achieved by using lumped resistors without any extra modification to the conventional structure of WPDs. The analysis, design procedure, and mathematical expressions are presented for arbitrary design frequencies, and arbitrary power split ratio. For verification purposes, a 1 : 2 dual-frequency, a 1 : 2 tri-frequency, and a 1 : 2 quad-frequency WPDs are designed and fabricated. The measured results show good agreement with those obtained using the presented design methodology and with full-wave simulated results.
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