测量电路系统，比如放大器的频率特性（包括幅频特性和相频特性）是电路测量中重要的内容。电路的频率特性的测量方法可以有以下几种形式：

扫频方法
注入白噪声方法
测量系统的单位冲激响应

本文下面利用实验室中已有的设备对一款音频放大器 AMP328音频放大器 的频率特性进行测量，比较这些方法之间的结果关系。

01实验结果

1.使用白噪声测量幅频特性

(1) 噪声源

设备：DS345；输出白噪声：1dBm
使用DSA815测量输出信号的频谱。使用衰减器进行30dB衰减。

DSA测量设置：
start=1k; endf=1MHz; RBW=1kHz; VBW=10Hz

^{▲ 白噪声源：DS345}

(2) 测量AMP328的输出

^{▲ AMP328输出}

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(3)输入信号频谱

^{▲ 输入信号的频谱}

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(4)求输入输出增益之差

^{▲ 放大器增益曲线}

^{▲ 放大器增益曲线(线性增益)}

2.使用TG功能测量放大器的幅频特性

^{▲ 使用TG功能测量放大器的增益曲线}

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^{▲ 使用TG功能测量放大器的增益曲线(线性比例尺)}

3.使用扫频方法测量

使用两台FLUKE45的交流表来测量放大器的输入输出信号幅值。在 如何使用万用表测量随机噪声 中测量了FLUKE45表的频率响应宽度小于400kHz，所以增益曲线测量在超过400kHz之后就会由于FLUKE45的频率响应限制而变得不可靠了。

^{▲ 扫频万用表测量得到的幅频曲线}

inv=[0.00,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.18,0.17,0.17,0.17,0.17,0.17,0.17,0.17,0.17,0.17,0.17,0.17,0.17,0.17,0.17,0.17,0.17,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.15,0.15,0.15,0.15,0.15,0.15,0.15,0.15,0.15,0.15,0.15,0.14,0.14,0.14,0.14,0.14,0.14,0.14,0.14,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.12,0.12,0.12,0.12,0.12,0.12,0.12,0.12,0.11,0.11,0.11,0.11,0.11,0.11,0.11,0.11,0.10,0.10,0.10,0.10,0.10,0.10,0.10,0.10,0.09,0.09,0.09,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.02,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00,0.00]
outv=[0.03,4.92,4.91,4.88,4.88,4.75,4.66,4.62,4.54,4.20,3.60,3.19,3.00,2.85,2.68,2.54,2.42,2.29,2.18,2.08,1.98,1.88,1.80,1.71,1.64,1.57,1.49,1.43,1.36,1.30,1.24,1.19,1.13,1.08,1.03,0.98,0.95,0.95,0.89,0.81,0.81,0.95,0.92,0.89,0.86,0.83,0.80,0.77,0.75,0.72,0.69,0.67,0.64,0.62,0.60,0.57,0.55,0.53,0.51,0.50,0.48,0.46,0.45,0.43,0.42,0.40,0.39,0.37,0.36,0.35,0.34,0.33,0.31,0.30,0.29,0.28,0.27,0.26,0.25,0.24,0.24,0.23,0.22,0.21,0.20,0.19,0.19,0.18,0.17,0.17,0.16,0.15,0.15,0.14,0.14,0.13,0.13,0.12,0.12,0.11,0.11,0.10,0.10,0.09,0.04,0.04,0.04,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.02,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.02,0.03,0.03,0.03,0.03,0.02,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03]
gain=[15.23,26.91,26.84,26.68,26.70,26.04,25.54,25.37,24.95,23.09,19.85,17.61,16.57,15.76,14.88,14.11,13.48,12.79,12.18,11.65,11.10,10.60,10.16,9.71,9.29,8.92,8.53,8.16,7.82,7.50,7.18,6.87,6.59,6.30,6.06,5.77,5.63,5.65,5.29,4.81,4.83,5.70,5.55,5.38,5.22,5.07,4.91,4.76,4.62,4.47,4.32,4.19,4.05,3.92,3.80,3.68,3.57,3.47,3.36,3.26,3.17,3.07,2.99,2.91,2.82,2.75,2.67,2.60,2.53,2.46,2.39,2.33,2.27,2.21,2.15,2.09,2.04,1.98,1.93,1.88,1.83,1.78,1.73,1.68,1.63,1.59,1.55,1.50,1.46,1.42,1.38,1.34,1.30,1.26,1.23,1.19,1.16,1.13,1.09,1.07,1.04,1.01,0.97,0.95,0.36,0.37,0.37,0.36,0.36,0.35,1.43,1.44,1.44,1.47,1.52,1.54,1.56,1.58,1.61,1.69,1.64,1.71,1.70,1.77,1.85,1.81,1.89,2.01,2.02,2.05,2.09,2.15,2.27,2.29,2.34,2.43,2.51,2.71,2.67,2.86,2.96,3.11,3.37,3.31,3.64,3.97,4.14,4.42,4.86,5.23,5.74,5.75,6.41,6.87,7.47,8.21,7.85,8.75,9.53,9.90,9.40,10.05,10.39,11.40,10.51,10.49,11.55,11.76,12.34,10.68,11.18,12.04,12.67,13.09,11.21,12.15,12.32,12.70,12.01,11.59,12.89,13.67,13.62,12.32,13.33,13.43,14.43,12.99,12.85,14.40,14.50,15.08,13.02,14.43,14.40,14.38,13.62,13.14,15.00,14.96]

^{▲ 测量过程中的输出输入波形变化}

4.使用示波器测量输入输出信号的幅值和相位

^{▲ 没有负载的情况下，扫频幅频特性和相频特性}

gain=[26.45,26.15,26.05,25.88,25.81,25.03,24.47,24.12,23.76,21.88,18.62,16.89,15.95,15.11,14.21,13.69,12.99,12.34,11.81,11.23,10.74,10.28,9.89,9.46,9.11,8.76,8.40,8.13,7.82,7.55,7.30,7.02,6.79,6.59,6.34,6.14,5.91,5.73,5.53,5.37,5.19,5.01,4.85,4.70,4.53,4.38,4.23,4.10,3.94,3.80,3.69,3.54,3.41,3.30,3.18,3.08,2.97,2.88,2.78,2.69,2.60,2.52,2.45,2.37,2.31,2.21,2.15,2.10,2.04,1.96,1.91,1.87,1.81,1.74,1.72,1.66,1.61,1.57,1.53,1.48,1.45,1.43,1.38,1.35,1.31,1.29,1.24,1.22,1.18,1.17,1.13,1.09,1.07,1.04,1.02,1.01,0.97,0.96,0.95,0.93,0.90,0.88,0.87,0.85,0.82,0.79,0.78,0.78,0.75,0.74,0.73,0.70,0.70,0.69,0.65,0.66,0.64,0.62,0.62,0.58,0.60,0.59,0.57,0.55,0.55,0.55,0.52,0.51,0.51,0.51,0.49,0.48,0.49,0.49,0.45,0.46,0.44,0.43,0.43,0.42,0.44,0.41,0.40,0.39,0.38,0.39,0.36,0.36,0.36,0.35,0.34,0.35,0.31,0.32,0.32,0.32,0.32,0.33,0.32,0.30,0.28,0.30,0.28,0.28,0.28,0.27,0.28,0.27,0.27,0.26,0.24,0.25,0.26,0.25,0.24,0.25,0.23,0.26,0.22,0.23,0.23,0.23,0.22,0.21,0.24,0.21,0.21,0.20,0.18,0.23,0.20,0.18,0.21,0.18,0.19,0.19,0.17,0.18,0.16,0.19]
phase=[0.58,0.08,0.13,0.07,0.22,0.23,0.31,0.44,0.41,0.71,0.83,0.93,1.01,1.11,1.22,1.37,1.38,1.41,1.61,-4.60,-4.52,-4.49,-4.39,-4.34,-4.35,-4.25,-4.23,-4.09,-4.05,-4.00,-3.94,-3.92,-3.88,-3.81,-3.79,-3.74,-3.68,-3.64,-3.60,-3.56,-3.56,-3.48,-3.49,-3.40,-3.36,-3.39,-3.32,-3.26,-3.31,-3.26,-3.31,-3.25,-3.29,-3.16,-3.19,-3.23,-3.24,-3.09,-3.17,-3.16,-3.16,-3.15,-3.07,-3.11,-3.09,-3.05,-3.11,-2.98,-3.01,-3.07,-3.05,-3.02,-3.04,-3.01,-3.06,-3.03,-2.99,-2.97,-2.99,-2.90,-2.93,-2.97,-2.88,-2.95,-2.90,-2.90,-2.90,-2.89,-2.85,-2.85,-2.87,-2.89,-2.84,-2.87,-2.85,-2.80,-2.93,-2.80,-2.80,-2.89,-2.88,-2.85,-2.76,-2.71,-2.87,-2.78,-2.78,-2.80,-2.80,-2.79,-2.74,-2.75,-2.77,-2.76,-2.68,-2.87,-2.68,-2.69,-2.72,-2.80,-2.73,-2.77,-2.79,-2.74,-2.65,-2.69,-2.80,-2.63,-2.66,-2.60,-2.68,-2.63,-2.68,-2.67,-2.58,-2.59,-2.66,-2.63,-2.57,-2.62,-2.62,-2.57,-2.70,-2.66,-2.67,-2.58,-2.63,-2.55,-2.59,-2.62,-2.61,-2.59,-2.54,-2.62,-2.58,-2.57,-2.50,-2.63,-2.59,-2.52,-2.63,-2.58,-2.57,-2.57,-2.64,-2.57,-2.57,-2.55,-2.52,-2.52,-2.49,-2.47,-2.53,-2.48,-2.54,-2.49,-2.57,-2.67,-2.61,-2.57,-2.54,-2.60,-2.51,-2.59,-2.40,-2.52,-2.49,-2.45,-2.43,-2.54,-2.55,-2.55,-2.57,-2.45,-2.46,-2.43,-2.44,-2.51,-2.40,-2.48]
f=[1000.00,6020.10,11040.20,16060.30,21080.40,26100.50,31120.60,36140.70,41160.80,46180.90,51201.01,56221.11,61241.21,66261.31,71281.41,76301.51,81321.61,86341.71,91361.81,96381.91,101402.01,106422.11,111442.21,116462.31,121482.41,126502.51,131522.61,136542.71,141562.81,146582.91,151603.02,156623.12,161643.22,166663.32,171683.42,176703.52,181723.62,186743.72,191763.82,196783.92,201804.02,206824.12,211844.22,216864.32,221884.42,226904.52,231924.62,236944.72,241964.82,246984.92,252005.03,257025.13,262045.23,267065.33,272085.43,277105.53,282125.63,287145.73,292165.83,297185.93,302206.03,307226.13,312246.23,317266.33,322286.43,327306.53,332326.63,337346.73,342366.83,347386.93,352407.04,357427.14,362447.24,367467.34,372487.44,377507.54,382527.64,387547.74,392567.84,397587.94,402608.04,407628.14,412648.24,417668.34,422688.44,427708.54,432728.64,437748.74,442768.84,447788.94,452809.05,457829.15,462849.25,467869.35,472889.45,477909.55,482929.65,487949.75,492969.85,497989.95,503010.05,508030.15,513050.25,518070.35,523090.45,528110.55,533130.65,538150.75,543170.85,548190.95,553211.06,558231.16,563251.26,568271.36,573291.46,578311.56,583331.66,588351.76,593371.86,598391.96,603412.06,608432.16,613452.26,618472.36,623492.46,628512.56,633532.66,638552.76,643572.86,648592.96,653613.07,658633.17,663653.27,668673.37,673693.47,678713.57,683733.67,688753.77,693773.87,698793.97,703814.07,708834.17,713854.27,718874.37,723894.47,728914.57,733934.67,738954.77,743974.87,748994.97,754015.08,759035.18,764055.28,769075.38,774095.48,779115.58,784135.68,789155.78,794175.88,799195.98,804216.08,809236.18,814256.28,819276.38,824296.48,829316.58,834336.68,839356.78,844376.88,849396.98,854417.09,859437.19,864457.29,869477.39,874497.49,879517.59,884537.69,889557.79,894577.89,899597.99,904618.09,909638.19,914658.29,919678.39,924698.49,929718.59,934738.69,939758.79,944778.89,949798.99,954819.10,959839.20,964859.30,969879.40,974899.50,979919.60,984939.70,989959.80,994979.90,1000000.00]
ch1=[10.28,4808.87,4815.94,4786.83,4782.71,4622.33,4546.66,4491.19,4419.22,4072.09,3452.38,3156.01,2983.72,2824.71,2671.91,2552.76,2433.16,2315.32,2213.89,2100.35,2018.56,1919.74,1857.34,1781.10,1710.74,1647.74,1582.17,1525.06,1467.27,1418.68,1366.85,1318.36,1275.86,1228.32,1189.48,1151.15,1107.11,1074.63,1038.30,1004.11,970.83,936.44,909.58,874.04,847.96,820.85,792.77,766.59,737.58,711.24,690.59,661.74,638.95,617.33,595.01,574.60,554.29,537.05,518.17,503.54,485.87,471.51,455.59,441.22,429.10,412.46,401.31,391.68,379.62,365.70,355.64,347.24,336.71,324.39,319.34,308.52,298.88,293.01,282.79,275.90,267.84,264.29,256.28,248.21,242.80,239.50,230.03,223.61,216.67,216.86,209.06,201.67,198.22,193.01,188.50,186.89,178.92,177.16,174.21,171.86,165.50,161.88,159.82,156.16,151.57,146.24,144.11,143.78,138.00,135.64,133.95,128.61,128.65,127.69,118.97,121.82,117.03,113.93,114.08,107.25,109.80,107.25,105.33,100.81,99.65,100.73,94.46,94.01,93.29,92.63,89.05,86.95,88.96,89.09,81.85,83.57,80.17,78.83,78.38,76.90,80.38,73.24,72.55,71.33,69.32,70.51,65.41,65.94,65.49,63.86,61.42,64.11,56.03,58.07,57.79,58.13,58.08,58.94,57.59,54.71,51.26,54.05,49.96,49.53,50.91,49.22,50.02,49.41,47.61,46.33,43.99,44.63,45.89,45.52,42.31,44.48,41.78,46.07,38.88,41.90,40.42,40.87,39.35,36.94,43.75,37.59,37.30,36.28,32.01,41.70,35.72,32.14,36.94,32.49,33.71,34.09,31.19,32.02,29.33,33.85]
ch2=[0.39,183.86,184.87,184.99,185.34,184.64,185.79,186.18,186.01,186.11,185.43,186.86,187.11,186.99,188.02,186.53,187.30,187.66,187.50,187.01,187.88,186.74,187.88,188.26,187.69,187.99,188.33,187.48,187.53,187.84,187.35,187.89,187.84,186.36,187.62,187.61,187.32,187.63,187.72,187.14,187.14,186.84,187.63,185.90,187.15,187.50,187.33,187.07,187.11,187.27,187.28,187.01,187.59,186.91,186.90,186.64,186.58,186.74,186.64,186.91,186.59,186.81,186.00,186.50,185.87,186.67,186.28,186.29,186.32,186.12,186.05,185.60,185.93,186.01,185.38,185.73,185.32,186.09,184.71,185.80,184.54,184.99,185.54,184.23,185.26,185.21,185.20,183.81,183.89,184.93,184.55,185.40,184.69,184.75,185.27,184.31,184.43,184.52,183.99,184.13,184.60,184.33,184.76,184.57,183.90,184.18,183.76,183.87,183.67,183.73,183.63,183.40,183.31,183.85,183.33,183.26,183.37,182.82,183.19,183.43,182.63,182.92,183.46,183.02,182.81,183.08,181.99,182.70,182.46,182.52,183.02,182.31,182.44,182.17,181.91,181.84,181.98,181.77,182.07,182.57,181.46,180.75,182.02,181.84,184.49,181.45,181.94,181.10,181.19,182.93,180.86,180.79,180.37,180.95,180.74,180.47,180.16,180.80,181.06,180.32,180.61,180.27,180.04,179.19,180.23,179.95,180.11,179.99,179.59,180.05,179.89,179.03,179.63,179.18,179.43,179.47,178.56,179.51,179.73,179.43,179.26,179.39,179.32,179.15,179.03,179.09,178.85,178.53,178.62,178.96,179.22,178.58,178.45,178.59,178.66,178.36,178.24,178.11,178.07,178.34]

^{▲ 带有50Ω负载下的测量结果}

gain=[0.41,22.62,21.42,19.12,16.45,13.71,11.44,9.67,8.07,6.09,4.11,2.14,0.97,0.63,0.60,0.56,0.49,0.54,0.61,0.48,0.48,0.63,0.45,0.46,0.44,0.58,0.39,0.41,0.40,0.44,0.43,0.42,0.37,0.38,0.40,0.34,0.38,0.43,0.35,0.27,0.33,0.36,0.33,0.28,0.36,0.36,0.31,0.36,0.35,0.35,0.30,0.37,0.25,0.23,0.32,0.34,0.32,0.22,0.25,0.39,0.33,0.28,0.31,0.29,0.29,0.24,0.28,0.28,0.30,0.30,0.29,0.28,0.35,0.45,0.14,0.26,0.30,0.29,0.28,0.27,0.22,0.26,0.22,0.28,0.29,0.32,0.24,0.26,0.29,0.24,0.23,0.26,0.14,0.26,0.24,0.27,0.22,0.25,0.20,0.24,0.01,0.23,0.19,0.21,0.25,0.19,0.23,0.26,0.21,0.18,0.19,0.20,0.19,0.21,0.22,0.18,0.23,0.18,0.17,0.18,0.19,0.16,0.19,0.19,0.13,0.14,0.12,0.14,0.14,0.11,0.11,0.02,0.13,0.10,0.12,0.13,0.15,0.09,0.07,0.11,0.07,0.11,0.09,0.12,0.09,0.16,0.08,0.10,0.02,0.04,0.10,0.03,0.09,0.04,0.25,0.01,0.08,0.07,0.10,0.06,0.05,0.04,0.23,0.07,0.05,0.00,0.06,0.00,0.01,0.00,0.04,0.03,0.08,0.02,0.02,0.03,0.02,0.00,0.01,0.06,0.08,0.02,0.02,0.04,0.04,0.04,0.01,0.00,0.03,0.07,0.04,0.08,0.06,0.00,0.00,0.04,0.00,0.00,0.03,0.06]
phase=[-1.81,0.11,0.14,0.37,0.49,0.65,0.79,0.98,1.10,1.36,-4.71,-4.48,-4.51,-4.55,-4.52,-4.41,-4.44,-4.35,-4.20,-4.33,-4.11,-4.04,-4.08,-4.05,-4.07,-3.94,-3.99,-3.96,-3.93,-3.88,-3.76,-3.85,-3.75,-3.73,-3.84,-3.65,-3.57,-3.52,-3.57,-3.70,-3.54,-3.53,-3.46,-3.58,-3.41,-3.45,-3.45,-3.43,-3.37,-3.39,-3.45,-3.39,-3.34,-3.55,-3.31,-3.26,-3.27,-3.48,-3.40,-3.24,-3.23,-3.29,-3.23,-3.19,-3.22,-3.29,-3.27,-3.17,-3.22,-3.14,-3.17,-3.18,-3.10,-3.00,-3.52,-3.05,-3.10,-3.05,-3.02,-3.11,-3.07,-3.07,-3.19,-3.00,-3.01,-2.99,-3.03,-3.02,-2.98,-2.99,-2.99,-2.94,-3.32,-2.98,-2.98,-2.97,-2.96,-2.92,-2.98,-2.92,-4.20,-3.03,-3.01,-2.90,-2.89,-2.91,-2.88,-2.77,-2.95,-2.88,-2.93,-2.87,-2.86,-2.94,-2.87,-2.93,-2.93,-2.90,-2.95,-2.83,-2.82,-2.72,-2.70,-2.78,-2.77,-2.72,-2.91,-2.83,-2.74,-2.76,-2.85,-4.13,-2.92,-3.00,-2.97,-2.84,-2.86,-2.67,-2.74,-2.84,-2.86,-2.82,-2.78,-2.87,-2.73,-2.48,-2.72,-2.59,-2.95,-2.50,-2.90,-2.93,-2.72,-2.79,-2.50,-2.64,-2.83,-2.88,-3.03,-2.86,-3.01,-2.47,-2.41,-2.54,-2.56,-2.76,-2.85,-3.95,-2.90,-2.66,-2.51,-2.81,-2.42,-2.60,-2.74,-2.87,-2.82,-2.76,-2.52,-2.49,-2.57,-2.72,-2.72,-2.84,-2.43,-2.69,-2.62,-2.55,-2.68,-2.81,-2.74,-2.87,-2.62,-2.29,-2.43,-2.48,-1.52,-2.77,-2.79,-2.63]
f=[1000.00,6020.10,11040.20,16060.30,21080.40,26100.50,31120.60,36140.70,41160.80,46180.90,51201.01,56221.11,61241.21,66261.31,71281.41,76301.51,81321.61,86341.71,91361.81,96381.91,101402.01,106422.11,111442.21,116462.31,121482.41,126502.51,131522.61,136542.71,141562.81,146582.91,151603.02,156623.12,161643.22,166663.32,171683.42,176703.52,181723.62,186743.72,191763.82,196783.92,201804.02,206824.12,211844.22,216864.32,221884.42,226904.52,231924.62,236944.72,241964.82,246984.92,252005.03,257025.13,262045.23,267065.33,272085.43,277105.53,282125.63,287145.73,292165.83,297185.93,302206.03,307226.13,312246.23,317266.33,322286.43,327306.53,332326.63,337346.73,342366.83,347386.93,352407.04,357427.14,362447.24,367467.34,372487.44,377507.54,382527.64,387547.74,392567.84,397587.94,402608.04,407628.14,412648.24,417668.34,422688.44,427708.54,432728.64,437748.74,442768.84,447788.94,452809.05,457829.15,462849.25,467869.35,472889.45,477909.55,482929.65,487949.75,492969.85,497989.95,503010.05,508030.15,513050.25,518070.35,523090.45,528110.55,533130.65,538150.75,543170.85,548190.95,553211.06,558231.16,563251.26,568271.36,573291.46,578311.56,583331.66,588351.76,593371.86,598391.96,603412.06,608432.16,613452.26,618472.36,623492.46,628512.56,633532.66,638552.76,643572.86,648592.96,653613.07,658633.17,663653.27,668673.37,673693.47,678713.57,683733.67,688753.77,693773.87,698793.97,703814.07,708834.17,713854.27,718874.37,723894.47,728914.57,733934.67,738954.77,743974.87,748994.97,754015.08,759035.18,764055.28,769075.38,774095.48,779115.58,784135.68,789155.78,794175.88,799195.98,804216.08,809236.18,814256.28,819276.38,824296.48,829316.58,834336.68,839356.78,844376.88,849396.98,854417.09,859437.19,864457.29,869477.39,874497.49,879517.59,884537.69,889557.79,894577.89,899597.99,904618.09,909638.19,914658.29,919678.39,924698.49,929718.59,934738.69,939758.79,944778.89,949798.99,954819.10,959839.20,964859.30,969879.40,974899.50,979919.60,984939.70,989959.80,994979.90,1000000.00]
ch1=[0.08,4294.10,4045.61,3581.46,3059.57,2526.07,2107.93,1778.41,1481.31,1113.69,750.71,392.53,177.67,116.22,111.15,103.16,89.72,98.86,112.71,88.22,89.41,115.80,82.83,85.36,81.19,107.32,73.02,75.23,74.50,82.09,78.61,77.09,69.20,69.61,73.68,63.42,70.21,79.73,65.25,50.25,61.66,67.05,60.92,52.00,66.83,66.67,56.57,65.99,65.38,65.33,55.74,68.31,45.63,42.19,58.02,61.80,58.18,40.46,46.10,70.78,60.98,51.91,57.04,53.85,52.43,43.47,51.12,52.11,55.78,54.12,53.22,50.42,63.90,82.47,24.70,48.45,54.03,52.47,51.63,49.20,40.46,46.89,40.74,51.07,53.59,57.85,44.24,47.83,52.29,44.33,41.26,46.77,25.61,47.02,43.14,48.84,40.49,44.81,37.22,43.44,2.66,42.10,34.74,38.26,45.15,33.74,40.84,46.30,38.57,33.01,33.84,36.29,35.25,38.17,39.02,31.81,40.62,32.29,30.37,33.01,33.30,28.62,33.62,34.63,23.94,26.07,21.89,24.70,24.57,20.16,20.32,2.88,23.76,17.49,21.44,22.83,26.94,15.52,13.13,20.29,11.92,19.08,16.60,21.32,16.23,28.60,14.09,17.17,4.24,6.79,17.41,6.18,15.37,7.92,44.46,1.93,14.57,11.94,17.25,11.05,9.18,6.43,40.55,12.41,9.28,0.38,9.91,0.86,2.57,0.74,6.39,4.42,14.41,3.16,3.62,5.18,2.69,0.85,1.49,10.19,13.45,3.40,2.84,7.37,6.97,7.60,1.70,0.21,6.09,11.70,7.09,13.71,9.90,0.34,0.57,6.51,0.08,0.76,5.57,10.22]
ch2=[0.20,189.80,188.88,187.28,186.04,184.28,184.28,183.92,183.66,182.99,182.48,183.73,183.64,184.15,184.45,184.26,183.74,184.36,184.66,183.77,184.87,183.25,185.42,184.96,184.67,184.92,184.89,184.49,185.22,184.89,184.83,184.99,185.37,184.06,184.68,184.88,184.35,184.70,184.68,184.37,184.45,183.98,184.58,183.21,184.36,184.79,184.52,184.52,184.59,184.32,184.46,183.91,184.44,184.41,184.10,184.34,184.14,184.15,184.03,183.83,183.67,183.77,183.25,183.45,183.50,183.43,183.49,183.66,183.54,183.26,183.05,181.68,184.44,183.15,182.33,183.11,183.03,182.99,182.28,182.62,182.09,182.08,182.73,181.74,182.13,182.24,182.25,180.94,181.05,182.29,181.86,181.88,181.51,181.66,181.23,180.94,181.89,181.59,182.03,181.46,181.56,181.30,181.72,181.72,180.98,180.81,180.79,180.94,180.95,180.51,180.49,180.48,180.80,180.66,180.48,179.85,180.26,179.91,180.51,180.00,179.52,179.61,180.13,179.90,179.87,179.83,179.16,179.08,179.22,179.62,179.14,179.11,179.28,179.05,178.53,179.05,178.88,178.64,178.21,178.34,178.19,177.87,178.84,178.39,178.64,178.17,178.06,177.71,177.99,178.88,178.02,177.52,175.26,177.54,178.84,177.26,176.90,177.60,176.84,176.81,178.63,176.95,176.69,176.05,176.84,176.46,176.91,177.36,176.15,176.53,176.35,175.66,176.16,175.86,176.26,175.88,175.04,175.91,175.92,175.98,175.95,175.60,176.01,176.30,175.64,175.60,175.89,175.38,175.21,175.08,175.01,175.19,175.16,175.04,174.83,174.83,174.87,174.78,174.56,174.78]

5.测量单位冲激响应

使用RC组成微分信号对输入的方波进行微分，生成近似的delta的信号。

^{▲ 测试电路原理图}

^{▲ 测试方波以及输出波形}

（1）输入信号及其频谱

^{▲ 输入信号波形}
^{▲ 输入信号的频谱}

（2）输出信号及其频谱

^{▲ 测试方波以及输出波形(放大版本)}

^{▲ 单位冲激响应的傅里叶变换}

^{▲ 单位冲激信号的FFT相位}

(3) 输入白噪声信号

^{▲ 输入白噪声信号的波形}

^{▲ 输出信号的频谱}

03实验讨论

在前面实验中，可以看到以下结论：

使用噪声注入方法，所得到的增益与其他四个相差很大。其中的原因还需进行进一步的讨论；
在使用扫频方法的时候，使用示波器完成增益和相位的变化；
使用单位冲激响应所得到的带宽与实际扫频结可以相互验证。

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