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Design of Improved Quadruple-Mode Bandpass Filter Using Cavity Resonator for 5G Mid-Band Applications
Published in Mangesh M. Ghonge, Ramchandra Sharad Mangrulkar, Pradip M. Jawandhiya, Nitin Goje, Future Trends in 5G and 6G, 2021
P. Satheesh Kumar, P. Chitra, S. Sneha
For some time, it has been known that if a filter can be made to produce more transmission zeros, the response of that filter will be enhanced. With previous filters, the maximum number of transmission zeros that can be produced is equal to the order of the filter minus two. For example, a six-pole prior art dual-mode filter can be made to produce four transmission zeros and such a filter is said to produce an elliptic function response.
Continuous-Time Circuits
Published in Tertulien Ndjountche, CMOS Analog Integrated Circuits, 2017
where U(s) and Y(s) are the Laplace transforms of the input and the output variables. The zeros of the denominator are called poles of the filter, while the zeros of the numerator are referred to as transmission zeros. The filter will be realizable if N ≥ M and will not oscillate provided ai > 0. For filter stability, the real part of all poles should be lower than zero.
CSRR Embedded CPW Band-Stop Filter
Published in IETE Journal of Research, 2022
Asit K. Panda, Malabika Pattnaik, Rajanikanta Swain
In addition, the position of the transmission zeroes can be adjusted to eliminate spurious passbands and to control out-of-band rejection, which can also be improved by increasing the number of resonator stages. These properties have been exploited and applied to the design of different kinds of BSFs. This is achieved by placing more CSRRs with the same resonant frequencies periodically. Such a stopband filter structure with cascaded CSRR is shown in Figure 2(b), which has three periodic CSRR structures in the central conductor of CPW line and all the circular CSRRs are resonating at the same frequency of 11.5 GHz. The periodicity (p) between two adjacent CSRR is maintained 6 mm for this filter. The simulation results depicted in Figure 4(b) shows that the centre frequency of the stopband is 11.4 GHz. with a stop bandwidth of approximately 1.1 GHz and flat stopband attenuation less than −35 dB.
Design of Microstrip Filters Using Paired Fan-Shaped Capacitors with Controllable Transmission Zeros
Published in Electromagnetics, 2020
We have derived the formulas to calculate the frequencies of the transmission zeros. Therefore, if we want to suppress out-of-band interference at some certain frequencies, we can design transmission zeros at these frequencies to improve performance. In consideration for the rejection level and the size of the actual filter, in our simulation, four-order structure has been adopted. The size of each section can be calculated based on the equivalent circuit and is given as (length in mm): r1 = r4 = 6.32, θ1 = θ4 = 150°, Sr1 = Sr4 = 0.91, Lrc1 = Lrc4 = 8.62, Wrc1 = Wrc4 = 0.31, r2 = r3 = 8.02, θ2 = θ3 = 150°, Sr2 = Sr3 = 1.13, Lrc2 = Lrc3 = 10.84, Wrc2 = Wrc3 = 0.42. Figure 10 shows the simulated and measured S-parameters of the fabricated four-order filter. It can be observed that the measured cutoff frequency of the filter is 3.2 GHz with the insertion loss of 0.22 dB. The in-band return loss is 18 dB and the out-of-band rejection is over 25 dB. Five transmission zeros can be observed and they are located in the stop-band evenly. In the stopband, no jitters have been produced. In general, the measured results are in good agreement with the simulated ones.
A benchmark system to investigate the non-minimum phase behaviour of multi-input multi-output systems
Published in Journal of Control and Decision, 2018
SaeedReza Tofighi, Farshad Merrikh-Bayat
In this section, the problem of designing a MIMO benchmark to investigate the NMP behaviour of MIMO systems is considered. Figure 3 shows the schematic of the proposed MIMO system where each subsystem is a circuit similar to the one shown in Figure 1. In dealing with MIMO systems, all of the transmission zeros (including NMP zeros) can be obtained from the Smith–McMillan form. In this manner, a multivariable system is called NMP if it has at least one RHP transmission zero. In SISO systems, transmission zeros are equal to the zeros of transfer function (Shneiderman & Palmor, 2010). Depending on the definition of subsystems in Figure 3 various MIMO systems can be obtained as discussed in the following.