This research serves two main purposes: to create an analyzed edition of Ray Brown's bass lines from the Oscar Peterson Trio's 1964 recording We Get Requests, and to better understand Brown's lines through the lens of Ray Brown's Bass Method. This comparative analysis identifies significant events in the recorded music that closely relate to or resemble exercises from the book. By analyzing the music from the lens of Ray Brown's Bass Method, performers, students, and educators will gain a stronger understanding of the application of select technical devices provided by Brown in his book. The most prominent techniques discussed include scales and intervals, major triads, minor triads, and chords, exercises in tenths, rhythm patterns with drops, and diminished patterns. These evidence-based conclusions have significant applications in jazz bass pedagogy by revealing potential relationships between technical ideals and practical use. Although these conclusions may seem of concern only to jazz bassists, it should in fact concern anyone who cares about the connection between pedagogy and performance.

Global Positioning System (GPS) is a satellite-based navigation system that has been used widely both in civilian and military for positioning, navigation, timing and other position related applications. The hardware-based GPS receivers provide the least user flexibility. Thus, it is necessary to have Software-based GPS receivers for easy and quick implementation, simulation and analysis of algorithms. Software-based GPS receiver processes the GPS signal at the radio frequency or intermediate frequency depending on the hardware configuration of the receiver. In this development of the acquisition and tracking processes of the software receiver, the front-end device that converts the radio frequency signal from the antenna to an intermediate frequency is the Mitel 2021 GPS receiver board. An analog-to-digital (A/D) converter then digitizes the output signal from the RF front-end. The data is then processed using MATLAB programs to achieve acquisition and tracking of the GPS signals. The software GPS receiver can perform acquisition and tracking using different parameters and threshold values. This flexibility of operation allows weaker signals to be tracked and processed. In this software receiver design, the focus is on the acquisition and tracking of L1 band C/A code GPS signals used by most civilian applications. The purpose of this thesis is to develop the acquisition and tracking algorithms to extract the navigation data bits from the raw GPS signals. The navigation data bits provide all the necessary information to compute the pseudorange between the receiver and the visible satellites and determine the receiver location. Both MATLAB simulated GPS data and realistic GPS signals from a GSS 6560 simulator are used to verify the performance of the acquisition and tracking programs. The acquisition program is capable of locating the beginning of the C/A code and the carrier frequency to within the desired accuracy. From the output of the acquisition program, the tracking program can decode the navigation data bits. The tracking algorithm implemented is based on the block adjustment of synchronizing signal (BASS) method. / Master of Science

我們常常希望去估計一個大母體中各種不同領域內的參數值，而在抽樣實驗之前整個 母體無法被分層。當實驗的總預算有限，若選取一組簡單隨機樣本來估計這些母體參 數，可能不是一個佷嚴密的推定量，因此實驗者必須先決定一個有效、可行的抽樣方 法。 在本文中採取雙重抽樣的原理抽取樣本，而想要估計的母體參數是母體第ｊ領域所佔 全母體的成數，並在固定的預算下討論貝氏最佳樣本與子樣本數的選取。 SMITH 及SEDRANSK（１９８２）利用雙重抽樣法研究魚群體的年齡組成，並解決了二 個問題（１）利用貝氏法，估算第ｊ領域年齡的魚群所佔全體魚群的成數。（２）當 總預算固定，並給定第一階段樣本數n'及其分配 ｎ' ＝（ｎ' ，ｎ' ，－－－ｎ' ） 1 2 i 說明如何選取最佳的貝氏子樣本數分配，ｎ*＝ ｎ* ，ｎ* ，－－－ｎ* ） 使得近 1 2 i 似的風險函數ｒ*（ｎ',｛ｎi'｝，｛ｎi｝ 最小，其中 ０≦ｎi≦ｎi'（ｉ＝１，２，－－－Ｉ） 而後JINN, SEDRANSK, SMITH（１９８７） 延續以上結果，利用電腦模擬取樣，在必 然的ｎL'≦ｎ'≦ｎU' 條件下，說明如何取得最佳的n'使得 Ａ（n'）＝Ｅn'ln'｛ｒ*（ｎ'，ｎ'，ｎ。*）｝ 最小． 由於上述方法在一般情況下無法求得A(n') 的明確數學式，因此n'也就無法用式子表 示出來。 本文首先考慮Ｉ＝２的特殊情況，在這情況下舉一些例子說明如何求得A(n') 的明確 數學式，並由此求出最佳的貝氏解n'。其次導出一些充分條件使得在忽略限制條件下 由LAGRANGE乘數法所得的解ｎ＝（ｎ1，ｎ2）分別滿足（１）０≦ｎi≦ｎi'或（２） ｎi≦ｎi'（ｉ＝１，２）． 最後在(1) 或 (2)成立的充分條件下，導出Ａ（n'）的 數學式，進而求得最佳貝氏解n'。