With the emergence of multi-carrier (MC) orthogonal frequency division multiplexing (OFDM) scheme in the current WLAN standards and next generation wireless broadband standards, the necessitation to acquire a method for combating high peak to average power ratio (PMEPR) becomes imminent. In this thesis, we will explore various sequences to determine their PMEPR behaviours, in hopes to find some...

Vegetation temperature condition index (VTCI) is a near-real-time drought monitoring approach which is derived from normalized difference vegetation index (NDVI) changes in a given region to land surface temperature (LST) changes of pixels with a given NDVI value.It can be physically explained as the ratio of temperature differences among the pixels which have the same NDVI values.Due to the no...

This thesis consists of two separate topics involved with Golay complementary sequences. In the first part, we present results of an experimental investigation where the distribution of peak-to-average power ratio (PAPR) in downlink MC-CDMA systems is modeled by the generalized extreme value (GEV) distribution. Two orthogonal sets of sequences, WalshHadamard and Golay complementary sequences, a...

<p style='text-indent:20px;'>Recently, two-dimensional (2-D) arrays with good correlation have been used in MIMO systems. In this paper, we investigate new 2-D Golay complementary array sets (GCASs), whose aperiodic auto-correlation sums are zero for all nonzero shifts. Firstly, based on the generalized Boolean functions, propose a direct construction of GCASs. Secondly, using horizontal ...

searching through a large volume of data is very critical for companies, scientists, and searching engines applications due to time complexity and memory complexity. In this paper, a new technique of generating FuzzyFind Dictionary for text mining was introduced. We simply mapped the 23 bits of the English alphabet into a FuzzyFind Dictionary or more than 23 bits by using more FuzzyFind Diction...

We present an evaluation, from the viewpoint of DS CDMA applications, of the sets of 12-chip spreading sequences based on Paley’s matrix, and sequences of length 20 based on Golay complementary sequences of length 10.

Golay codewords are useful for transmission schemes such as OFDM, and [MacWilliams/Sloane] demonstrated that these codewords are bent functions contained in second order Reed-Muller codes. This paper investigates the intersection between these codes and Kerdock-like codes.

We study a construction of the Mathieu group M12 using a game reminiscent of Loyd’s “15-puzzle”. The elements of M12 are realized as permutations on 12 of the 13 points of the finite projective plane of order 3. There is a natural extension to a “pseudogroup” M13 acting on all 13 points, which exhibits a limited form of sextuple transitivity. Another corollary of the construction is a metric, a...

A split complete weight enumerator in six variables is used to study the 3-colored designs held by codewords of xed composition in Type III codes containing the all-one codeword. In particular the ternary Golay code contains 3-colored 3-designs. We conjecture that every weight class in a Type III code with the all-one codeword holds 3-colored 3-designs.