An efficient algorithm for computing the roots of general quadratic, cubic and quartic equations

Mahmood, Munir; Hammad, Sali; Mahmood, I.

doi:10.1080/0020739x.2014.902133

Cited by 3 publications

(2 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…By means of this correction, it is guaranteed that the desired return losses are achieved at the central frequency of both pass bands. The analytical solution of this quartic equation 23, using an efficient algorithm proposed in [33], is described in Appendix B. Consequently, once the specifications of the dual-band bandpass filter are known, equations (22a) and (22b) can be used along with (23) to determine the design parameters of the filter. values for prototype I, depending on the fractional bandwidth (FWB) and the frequency ratio (r), calculated using (19).…”

Section: ) Prototype IImentioning

confidence: 99%

Synthesis of Dual-Band Bandpass Filters With Short-Circuited Multiconductor Transmission Lines and Shunt Open Stubs

2019

View full text Add to dashboard Cite

The design of dual-band bandpass filters consisting of series short-circuited wire-bonded multiconductor transmission lines and shunt open stubs is thoroughly carried out in this paper. Two different configurations are studied, and closed-form analytical design equations are derived to synthesize Chebyshev filtering functions. A novel, simplified, and time-saving synthesis procedure to design dual-band filters with narrow or moderate broad bandwidths is finally presented, attending to the required final specifications and the physical and manufacturing limitations. The usefulness and validity of the proposed analytical equations are illustrated by designing, manufacturing, and measuring three different prototypes, showing an excellent agreement between analytical and measured results. INDEX TERMS Bandpass filter, Chebyshev response, coupled lines, dual-band, multiconductor transmission lines (MTLs), shunt stubs.

show abstract

Section: ) Prototype IImentioning

confidence: 99%

Synthesis of Dual-Band Bandpass Filters With Short-Circuited Multiconductor Transmission Lines and Shunt Open Stubs

2019

View full text Add to dashboard Cite

show abstract

“…For further details, please refer to [30]. For X NAND, when ε * < ε < 1/2, the system also has a stable fixed point solution, by solving the equation z 0 = 1 − ε + (2ε − 1)z 2 0 , then we get…”

Section: Fault Tolerant Ability Analysis 41 Analysis Of Gate Error Tmentioning

confidence: 99%

On redundancy-modified NAND multiplexing

2018

Journal of Systems Engineering and Electronics

View full text Add to dashboard Cite

In order to make systems that are based on unreliable components reliable, the design of fault tolerant architectures will be necessary. Inspired by von Neumann's negative AND (NAND) multiplexing and William's interwoven redundant logic, this paper presents a fault tolerant technique based on redundancy-modified NAND gates for future nanocomputers. Bifurcation theory is used to analyze fault tolerant ability of the system and the simulation results show that the new system has a much higher fault tolerant ability than the conventional multiplexing based on NAND gates. According to the evaluation, the proposed architecture can tolerate a device error rate of up to 10 −1 , with multiple redundant components. This fault tolerant technique is potentially useful for future nanoelectronics.

show abstract

Electric Aircraft Flight Management Systems: Economy Mode and Maximum Endurance

Kaptsov

Rodrigues

2018

Journal of Guidance, Control, and Dynamics

View full text Add to dashboard Cite

An efficient algorithm for computing the roots of general quadratic, cubic and quartic equations

Cited by 3 publications

References 2 publications

Synthesis of Dual-Band Bandpass Filters With Short-Circuited Multiconductor Transmission Lines and Shunt Open Stubs

Synthesis of Dual-Band Bandpass Filters With Short-Circuited Multiconductor Transmission Lines and Shunt Open Stubs

On redundancy-modified NAND multiplexing

Electric Aircraft Flight Management Systems: Economy Mode and Maximum Endurance

Contact Info

Product

Resources

About