Sökning: "Chebyshev"

Visar resultat 1 - 5 av 19 uppsatser innehållade ordet Chebyshev.

1. 1. Data-driven Interpolation Methods Applied to Antenna System Responses : Implementation of and Benchmarking

   Master-uppsats, KTH/Skolan för elektroteknik och datavetenskap (EECS)

   Författare :Lucas Åkerstedt; [2023]
   Nyckelord :Model Order Reduction; Loewner Framework; State-space Representation; Nevanlinna-Pick Interpolation; Vector Fitting; Cauchy interpolation; Antenna System Responses; Benchmarking; MoM; Data-driven; Interpolation; Modelordningsreducering; Loewner Ramverk; Tillståndsrepresentation; NevanlinnaPick Interpolering; Vector Fitting; Cauchy Interpolering; Antennsystemsvar; Prestandajämförelse; MoM; Datadriven; Interpolering;

   Sammanfattning : With the advances in the telecommunications industry, there is a need to solve the in-band full-duplex (IBFD) problem for antenna systems. One premise for solving the IBFD problem is to have strong isolation between transmitter and receiver antennas in an antenna system. LÄS MER

3. 2. The Riemann Zeta Function and Prime Numbers

   Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

   Författare :Oskar Rune; Linus Envall; [2023]
   Nyckelord :;

   Sammanfattning : This thesis is the result of a literature study regarding the relationship between the Riemann zeta function and prime numbers. We introduce the $\zeta$ function, discussing its properties. Then, starting from Riemann's original series, we derive the Euler product formula and functional equation for $\zeta$. LÄS MER

4. 3. An operator theoretic approach to the Riemann Hypothesis

   Master-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

   Författare :Ramon Arjan van de Scheur; [2023]
   Nyckelord :Riemann hypothesis; Prime number theorem; Prime number theorem for arithmetic progressions; operator theoretic equivalent; compact operator; prime-counting function; Chebyshev function; Laplace transform; Fourier transform; convolution operator; weak topology; strong topology; compact perturbation; Tauberian theorem; Poisson kernel; holomorphic; self-adjoint; spectrum; trace; Mathematics and Statistics;

   Sammanfattning : In 2023 an operator theoretic approach to the Prime Number Theorem was introduced by Olsen. In this thesis this approach is examined and applied to give a new, operator theoretic, proof of a different version of the Prime Number Theorem and of the Prime Number Theorem for arithmetic progressions. LÄS MER

5. 4. Compact Ku-band Microwave Filters Realised using Suspended Integrated Stripline Technology

   Master-uppsats, KTH/Skolan för elektroteknik och datavetenskap (EECS)

   Författare :Henrik Åkerberg; [2023]
   Nyckelord :Suspended Substrate Stripline; Microwave filter; Low Profile; Quasi-Planar; Bandpass Filter; Hängande-Substrat-Stripline; Mikrovågsfilter; Låg profil; Kvasi-planar; Bandpassfilter;

   Sammanfattning : As the fifth generation of telecommunications is deployed, and the number of devices transmitting in the microwave bands grows, effective filtering technologies are becoming ever more important. When a filter is designed, some performance trade-offs have to be made, and one of them is the trade-off between filter size and electrical performance. LÄS MER

7. 5. Relating the Arnoldi approximation to the best Chebyshev approximation of the characteristic polynomial - A study using a complex valued variant of the Remez algorithm

   Kandidat-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

   Författare :Thomas Renström; [2022]
   Nyckelord :Chebyshev; Arnoldi; Remez; Tang; approximation; matrix; complex; characteristic polynomial; Mathematics and Statistics;

   Sammanfattning : The Remez algorithm is a beautiful algorithm that finds the best approximation to a function by finding points satisfying the alternation condition. In 1987 Ping Tang published his doctoral thesis detailing a version of the Remez algorithm modified for functions of complex values with complex coefficients. LÄS MER