Computational Modeling of Quasi-Periodic Rudin-Shapiro Multilayered Band Gap Structure

Microwave properties of the generalized Fibonacci quasi-periodic multilayered photonic band gap structure

The transmission properties in microwave domains (10 GHz to 40 GHz) of generalized dielectric Fibonacci multilayer generated by the rule : with a pair of positive integers m and n were studied. The initial generations of generalized Fibonacci sequence are taken as follows: S0 = L and S1 = H, where H and L are two elementary layers with refractive indices nL = 1 (air) and nH = 3 (ceramic). The s...

Generalized Rudin – Shapiro sequences

Generalised Rudin-Shapiro Constructions

A Golay Complementary Sequence (CS) has Peak-to-Average-Power-Ratio (PAPR) ≤ 2.0 for its one-dimensional continuous Discrete Fourier Transform (DFT) spectrum. Davis and Jedwab showed that all known length 2m CS, (GDJ CS), originate from certain quadratic cosets of Reed-Muller (1,m). These can be generated using the Rudin-Shapiro construction. This paper shows that GDJ CS have PAPR ≤ 2.0 under a...

On Sums of Rudin-shapiro Coefficients Ii

Let {a(n)} be the Rudin-Shapiro sequence, and let s(n) = Σ£=o () and t(n) = I"k=0(-\) a(k). In this paper we show that the sequences {s{n)/ Jn) and {t{n)/ Jn) do not have cumulative distribution functions, but do have logarithmic distribution functions (given by a specific Lebesgue integral) at each point of the respective intervals [γ/3/5, yfβ] and [0, V^] The functions a(x) and s(x) sore also...

Moments of the Rudin-Shapiro Polynomials

We develop a new approach of the Rudin-Shapiro polynomials. This enables us to compute their moments of even order q for q 32, and to check a conjecture on the asymptotic behavior of these moments for q even and q 52.