周期信號軟件同步采樣方法的研究（基于Matlab）

測控論文編號:CK075   論文字數:11627,頁數:27

 目錄

 摘要 I
1  前言 1
2  三種采樣方法 2
2.1  雙速率同步采樣法 2
2.2  偏差累積增量法 3
2.2.1 上述非均勻同步采樣序列的DFT 4
2.2.2 一個較理想的非均勻同步采樣法 5
2.3  參數自尋優等間隔同步采樣法 6
3  三種采樣方法各自的優缺點 10
3.1  雙速率采樣法的優缺點 10
3.2  偏差累積增量法的優缺點 10
3.3  參數自尋優采樣法的優缺點 10
4  軟件同步采樣的誤差分析和頻域特性分析 11
4.1  同步采樣的誤差分析 11
4.2  非整周期采樣諧波分析的算法 11
4.3  軟件同步采樣方法的頻域特性分析 12
4.3.1 標準正弦信號的頻譜 12
4.3.2 正弦信號中存在諧波干擾時的頻譜分析 13
4.3.3 不同同步誤差對基波譜線的影響 14
5  新方法探索 15
6 軟件同步采樣測量法誤差研究現況及應用中的問題 20
7 總結 21
致   謝 22
參考文獻 23

摘要
 
 利用軟件采樣法來獲取周期模擬信號的數據，并采用一定的計算方法進行數值運算，對信號進行處理，是數字信號處理中常用的一種方法。然而由于采樣算法的不盡理想，制約著數字信號處理的準確性。理想的采樣方法是均勻同步采樣，但是實際采樣時，由于受定時器分辨率的影響，實際的采樣間隔與理論的采樣間隔，存在著截斷誤差。本文具體介紹了周期信號的三種同步采樣法的特點及其在應用中存在的問題，包括雙速率同步采樣法、偏差累積增量法和參數自尋優等間隔同步采樣法，并分析比較各種采樣法的優缺點。本文闡述了通過軟件同步采樣來提高周期信號分析精度的算法。同時對周期信號同步采樣誤差以及軟件同步采樣方法的頻域特性進行了分析。另外，本文還對軟件同步采樣方法作了進一步探索，介紹了一種用較低采樣頻率對高頻率周期信號進行采樣的方法，能夠使用遠遠低于被采樣信號頻率的采樣頻率達到與高頻率采樣同樣的效果。
關鍵詞 軟件同步；雙速率；偏差累積；參數自尋優
 
Abstract
 
 Obtaining the data of cycle analog signal by using software sampling method, and performing numerical operation to process signal by using a certain calculation method, is a method commonly used of digital signal processing. However, the sampling algorithm is not quite ideal, which restricts the accuracy of digital signal processing. The ideal sampling method is uniform synchronous sampling, but in actual sampling, because of the impact of the timer resolution, there is a truncation error between actual sampling interval and theoretical sampling interval. This thesis details the characteristics of three synchronous sampling methods of the periodic signal and its existing problems in the application, including double rates synchronous sampling method, the deviation cumulative incremental method and parameters of self-optimizing equal interval synchronous sampling method, and analyzes the advantages and disadvantages of various sampling methods. The thesis also details on how to improve the accuracy of periodic signal analysis algorithms through software synchronous sampling methods. At the same time, the thesis analyzes the error of periodic signals synchronous sampling and the frequency domain characteristics of the software synchronous sampling methods. In addition, the thesis further explores the software synchronous sampling methods, introduces a way of using lower sampling frequency for high frequency periodic signal, which can receive the same result of high-frequency sampling through using far less than the frequency of the sampled signal.
Keywords software synchronization; double rates; deviation cumulative; parameters of self-optimizing