﻿ “随机信号分析”中噪声产生设计的研讨 Discussion on Noise Design of Random Signal Analysis Course

Vol.05 No.06(2015), Article ID:16304,6 pages
10.12677/AE.2015.56028

Discussion on Noise Design of Random Signal Analysis Course

Mingqian Liu, Bingbing Li, Wanli Guo

School of Telecommunications Engineering, Xidian University, Xi’an Shaanxi

Received: Oct. 24th, 2015; accepted: Nov. 7th, 2015; published: Nov. 10th, 2015

ABSTRACT

Noise and its generation are important contents in the teaching of random signal analysis. The generation of the noise involves the theory of spectrum analysis and the minimum phase system, students tend to make mistakes in the design of white noise and color noise. This paper firstly analyzes the characteristics of the noise, and then analyzes the generation of color noise and white noise. Finally, this paper takes design experiments as examples. This paper has some guidance to the teaching of the noise generation design, and it is helpful for the students to understand and apply it.

Keywords:Random Signal Analysis, Color Noise, White Noise, Whitening Filter

“随机信号分析”中噪声产生设计的研讨

1. 引言

2. 白噪声及色噪声

(1)

(2)

3. 色噪声产生的设计

(3)

(a) 自相关函数 (b) 功率谱密度

Figure 1. Autocorrelation function and power spectral density of white noise

(a) 自相关函数 (b) 功率谱密度

Figure 2. Autocorrelation function and power spectral density of colored noise

Figure 3. The diagram of colored noise generation

(4)

(5)

(6)

4. 白化滤波器的设计

(7)

(8)

(9)

(10)

5. 噪声产生的设计实验

Figure 4. The diagram of the whitening filter

Figure 5. The diagram of experimental system

(a) 白噪声信号时域图 (b) 白噪声信号频谱图

Figure 6. Time and frequency domain graphs of Gaussian white noise

(a) 色噪声信号时域图 (b) 色噪声的功率谱密度

Figure 7. Time and frequency domain graphs of colored noise

(a) 白化后噪声信号的时域图 (b) 白化后噪声信号的功率谱密度

Figure 8. Time and frequency domain graphs of whitened signal

6. 结语

Discussion on Noise Design of Random Signal Analysis Course[J]. 教育进展, 2015, 05(06): 171-176. http://dx.doi.org/10.12677/AE.2015.56028

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