{"id":1002488,"date":"2024-12-27T10:09:05","date_gmt":"2024-12-27T02:09:05","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/1002488.html"},"modified":"2024-12-27T10:09:08","modified_gmt":"2024-12-27T02:09:08","slug":"python%e5%a6%82%e4%bd%95%e8%ae%a1%e7%ae%97%e4%bf%a1%e5%8f%b7%e8%83%bd%e9%87%8f","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/1002488.html","title":{"rendered":"python\u5982\u4f55\u8ba1\u7b97\u4fe1\u53f7\u80fd\u91cf"},"content":{"rendered":"

\"python\u5982\u4f55\u8ba1\u7b97\u4fe1\u53f7\u80fd\u91cf\"<\/p>\n

\u4e00\u3001\u5728Python\u4e2d\u8ba1\u7b97\u4fe1\u53f7\u80fd\u91cf\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u51e0\u79cd\u65b9\u6cd5\uff1a\u901a\u8fc7\u6570\u503c\u79ef\u5206\u8ba1\u7b97\u3001\u4f7f\u7528\u5085\u91cc\u53f6\u53d8\u6362\u5206\u6790\u9891\u57df\u7279\u6027\u3001\u5229\u7528numpy\u5e93\u8fdb\u884c\u76f4\u63a5\u8ba1\u7b97\u3002\u4f7f\u7528\u5085\u91cc\u53f6\u53d8\u6362\u5206\u6790\u9891\u57df\u7279\u6027<\/strong>\u662f\u4e00\u79cd\u5e38\u7528\u7684\u65b9\u6cd5\uff0c\u5b83\u901a\u8fc7\u5bf9\u4fe1\u53f7\u7684\u9891\u8c31\u8fdb\u884c\u5206\u6790\u6765\u8ba1\u7b97\u4fe1\u53f7\u7684\u80fd\u91cf\u3002\u5085\u91cc\u53f6\u53d8\u6362\u5c06\u4fe1\u53f7\u4ece\u65f6\u57df\u8f6c\u6362\u5230\u9891\u57df\uff0c\u80fd\u591f\u76f4\u89c2\u5730\u5206\u6790\u4fe1\u53f7\u7684\u9891\u7387\u6210\u5206\u548c\u80fd\u91cf\u5206\u5e03\u3002\u901a\u8fc7\u8ba1\u7b97\u9891\u8c31\u7684\u5e73\u65b9\u548c\uff0c\u53ef\u4ee5\u5f97\u5230\u4fe1\u53f7\u7684\u603b\u80fd\u91cf\u3002\u6b64\u65b9\u6cd5\u5c24\u5176\u9002\u7528\u4e8e\u5904\u7406\u5468\u671f\u4fe1\u53f7\u548c\u590d\u6742\u6ce2\u5f62\u3002<\/p>\n<\/p>\n

\u4e8c\u3001\u4fe1\u53f7\u80fd\u91cf\u7684\u57fa\u672c\u6982\u5ff5<\/p>\n<\/p>\n

\u4fe1\u53f7\u80fd\u91cf\u662f\u4fe1\u53f7\u5206\u6790\u4e2d\u7684\u4e00\u4e2a\u91cd\u8981\u6982\u5ff5\uff0c\u901a\u5e38\u7528\u4e8e\u63cf\u8ff0\u4fe1\u53f7\u7684\u5f3a\u5ea6\u6216\u529f\u7387\u3002\u5bf9\u4e8e\u79bb\u6563\u4fe1\u53f7\uff0c\u4fe1\u53f7\u7684\u80fd\u91cf\u53ef\u4ee5\u901a\u8fc7\u8ba1\u7b97\u5176\u6837\u672c\u70b9\u7684\u5e73\u65b9\u548c\u6765\u83b7\u5f97\u3002\u5bf9\u4e8e\u8fde\u7eed\u4fe1\u53f7\uff0c\u80fd\u91cf\u7684\u8ba1\u7b97\u9700\u8981\u901a\u8fc7\u79ef\u5206\u6765\u5b9e\u73b0\u3002\u4fe1\u53f7\u80fd\u91cf\u5728\u901a\u4fe1\u3001\u4fe1\u53f7\u5904\u7406\u548c\u7535\u5b50\u5de5\u7a0b\u4e2d\u5177\u6709\u91cd\u8981\u7684\u5e94\u7528\u4ef7\u503c\u3002<\/p>\n<\/p>\n

\u8ba1\u7b97\u4fe1\u53f7\u80fd\u91cf\u53ef\u4ee5\u5e2e\u52a9\u5de5\u7a0b\u5e08\u8bc4\u4f30\u4fe1\u53f7\u7684\u8d28\u91cf\u548c\u5f3a\u5ea6\u3002\u5728\u901a\u4fe1\u7cfb\u7edf\u4e2d\uff0c\u4fe1\u53f7\u80fd\u91cf\u7528\u4e8e\u786e\u5b9a\u4fe1\u53f7\u5728\u566a\u58f0\u4e2d\u7684\u8bc6\u522b\u80fd\u529b\u3002\u5728\u4fe1\u53f7\u5904\u7406\u9886\u57df\uff0c\u4fe1\u53f7\u80fd\u91cf\u88ab\u7528\u4e8e\u68c0\u6d4b\u548c\u5206\u7c7b\u4fe1\u53f7\u7279\u5f81\u3002\u5728\u7535\u5b50\u5de5\u7a0b\u4e2d\uff0c\u4fe1\u53f7\u80fd\u91cf\u7528\u4e8e\u8bbe\u8ba1\u548c\u4f18\u5316\u7535\u8def\uff0c\u4ee5\u63d0\u9ad8\u7cfb\u7edf\u7684\u6548\u7387\u548c\u6027\u80fd\u3002<\/p>\n<\/p>\n

\u4e09\u3001Python\u4e2d\u4f7f\u7528NumPy\u8ba1\u7b97\u4fe1\u53f7\u80fd\u91cf<\/p>\n<\/p>\n

NumPy\u662fPython\u4e2d\u4e00\u4e2a\u5f3a\u5927\u7684\u6570\u503c\u8ba1\u7b97\u5e93\uff0c\u53ef\u4ee5\u7528\u6765\u5feb\u901f\u8ba1\u7b97\u4fe1\u53f7\u7684\u80fd\u91cf\u3002\u5bf9\u4e8e\u79bb\u6563\u4fe1\u53f7\uff0c\u8ba1\u7b97\u4fe1\u53f7\u80fd\u91cf\u7684\u6700\u7b80\u5355\u65b9\u6cd5\u662f\u5bf9\u4fe1\u53f7\u7684\u6bcf\u4e2a\u6837\u672c\u8fdb\u884c\u5e73\u65b9\u8fd0\u7b97\uff0c\u7136\u540e\u6c42\u548c\u3002NumPy\u63d0\u4f9b\u4e86\u4fbf\u6377\u7684\u6570\u7ec4\u64cd\u4f5c\u51fd\u6570\uff0c\u53ef\u4ee5\u8f7b\u677e\u5b9e\u73b0\u8fd9\u4e00\u8fc7\u7a0b\u3002<\/p>\n<\/p>\n

import numpy as np<\/p>\n
\u521b\u5efa\u4e00\u4e2a\u793a\u4f8b\u4fe1\u53f7<\/strong><\/h2>\n
signal = np.array([1, 2, 3, 4, 5])<\/p>\n
\u8ba1\u7b97\u4fe1\u53f7\u7684\u80fd\u91cf<\/strong><\/h2>\n
energy = np.sum(signal  2)<\/p>\n
print("\u4fe1\u53f7\u80fd\u91cf:", energy)<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u5728\u4e0a\u9762\u7684\u4ee3\u7801\u4e2d\uff0c\u6211\u4eec\u9996\u5148\u5bfc\u5165\u4e86NumPy\u5e93\uff0c\u5e76\u521b\u5efa\u4e86\u4e00\u4e2a\u793a\u4f8b\u4fe1\u53f7\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u4f7f\u7528NumPy\u7684sum<\/code>\u51fd\u6570\u5bf9\u4fe1\u53f7\u7684\u5e73\u65b9\u8fdb\u884c\u6c42\u548c\uff0c\u8ba1\u7b97\u5f97\u5230\u4e86\u4fe1\u53f7\u7684\u80fd\u91cf\u3002<\/p>\n<\/p>\n
\u56db\u3001\u4f7f\u7528SciPy\u8fdb\u884c\u4fe1\u53f7\u5206\u6790<\/p>\n<\/p>\n
SciPy\u662f\u4e00\u4e2a\u57fa\u4e8eNumPy\u7684\u79d1\u5b66\u8ba1\u7b97\u5e93\uff0c\u63d0\u4f9b\u4e86\u8bb8\u591a\u7528\u4e8e\u4fe1\u53f7\u5904\u7406\u548c\u5206\u6790\u7684\u5de5\u5177\u3002\u901a\u8fc7\u4f7f\u7528SciPy\uff0c\u6211\u4eec\u53ef\u4ee5\u66f4\u52a0\u65b9\u4fbf\u5730\u8ba1\u7b97\u4fe1\u53f7\u7684\u80fd\u91cf\uff0c\u7279\u522b\u662f\u5728\u5904\u7406\u8fde\u7eed\u4fe1\u53f7\u65f6\u3002SciPy\u7684integrate<\/code>\u6a21\u5757\u63d0\u4f9b\u4e86\u6570\u503c\u79ef\u5206\u7684\u529f\u80fd\uff0c\u53ef\u4ee5\u7528\u4e8e\u8ba1\u7b97\u8fde\u7eed\u4fe1\u53f7\u7684\u80fd\u91cf\u3002<\/p>\n<\/p>\n
from scipy import integrate<\/p>\n
\u5b9a\u4e49\u4e00\u4e2a\u8fde\u7eed\u4fe1\u53f7\u7684\u51fd\u6570<\/strong><\/h2>\n
def signal(t):<\/p>\n
    return np.sin(t)<\/p>\n
\u4f7f\u7528\u6570\u503c\u79ef\u5206\u8ba1\u7b97\u4fe1\u53f7\u7684\u80fd\u91cf<\/strong><\/h2>\n
energy, _ = integrate.quad(lambda t: signal(t)  2, 0, 2 * np.pi)<\/p>\n
print("\u4fe1\u53f7\u80fd\u91cf:", energy)<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u5728\u8fd9\u4e2a\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u4f7f\u7528\u4e86SciPy\u7684integrate.quad<\/code>\u51fd\u6570\u5bf9\u4e00\u4e2a\u6b63\u5f26\u6ce2\u4fe1\u53f7\u8fdb\u884c\u4e86\u6570\u503c\u79ef\u5206\uff0c\u4ece\u800c\u8ba1\u7b97\u5f97\u5230\u4e86\u4fe1\u53f7\u7684\u80fd\u91cf\u3002\u6211\u4eec\u5b9a\u4e49\u4e86\u4e00\u4e2a\u4fe1\u53f7\u51fd\u6570signal(t)<\/code>\uff0c\u7136\u540e\u8ba1\u7b97\u5176\u5e73\u65b9\u7684\u79ef\u5206\u3002<\/p>\n<\/p>\n
\u4e94\u3001\u4f7f\u7528\u5085\u91cc\u53f6\u53d8\u6362\u5206\u6790\u4fe1\u53f7\u80fd\u91cf<\/p>\n<\/p>\n
\u5085\u91cc\u53f6\u53d8\u6362\u662f\u4e00\u79cd\u5c06\u4fe1\u53f7\u4ece\u65f6\u57df\u8f6c\u6362\u5230\u9891\u57df\u7684\u6570\u5b66\u53d8\u6362\uff0c\u53ef\u4ee5\u7528\u4e8e\u5206\u6790\u4fe1\u53f7\u7684\u9891\u8c31\u7279\u6027\u548c\u80fd\u91cf\u5206\u5e03\u3002\u901a\u8fc7\u5085\u91cc\u53f6\u53d8\u6362\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u4fe1\u53f7\u5206\u89e3\u4e3a\u4e0d\u540c\u9891\u7387\u6210\u5206\u7684\u53e0\u52a0\uff0c\u4ece\u800c\u66f4\u5168\u9762\u5730\u5206\u6790\u4fe1\u53f7\u7684\u80fd\u91cf\u3002<\/p>\n<\/p>\n
Python\u4e2d\u7684numpy.fft<\/code>\u6a21\u5757\u63d0\u4f9b\u4e86\u5feb\u901f\u5085\u91cc\u53f6\u53d8\u6362\uff08FFT\uff09\u7684\u5b9e\u73b0\uff0c\u53ef\u4ee5\u7528\u6765\u8ba1\u7b97\u4fe1\u53f7\u7684\u9891\u8c31\u5e76\u5206\u6790\u4fe1\u53f7\u7684\u80fd\u91cf\u3002<\/p>\n<\/p>\n
import numpy as np<\/p>\n
\u521b\u5efa\u4e00\u4e2a\u793a\u4f8b\u4fe1\u53f7<\/strong><\/h2>\n
signal = np.array([1, 2, 3, 4, 5])<\/p>\n
\u8ba1\u7b97\u4fe1\u53f7\u7684\u5085\u91cc\u53f6\u53d8\u6362<\/strong><\/h2>\n
fft_result = np.fft.fft(signal)<\/p>\n
\u8ba1\u7b97\u9891\u8c31\u7684\u80fd\u91cf<\/strong><\/h2>\n
energy = np.sum(np.abs(fft_result)  2) \/ len(signal)<\/p>\n
print("\u4fe1\u53f7\u80fd\u91cf:", energy)<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u5728\u8fd9\u4e2a\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u5bf9\u4e00\u4e2a\u79bb\u6563\u4fe1\u53f7\u8fdb\u884c\u4e86\u5085\u91cc\u53f6\u53d8\u6362\uff0c\u8ba1\u7b97\u5f97\u5230\u4e86\u4fe1\u53f7\u7684\u9891\u8c31\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5bf9\u9891\u8c31\u7684\u5e45\u503c\u8fdb\u884c\u5e73\u65b9\u6c42\u548c\uff0c\u5f97\u5230\u4e86\u4fe1\u53f7\u7684\u80fd\u91cf\u3002\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u6211\u4eec\u5bf9\u80fd\u91cf\u503c\u8fdb\u884c\u4e86\u5f52\u4e00\u5316\u5904\u7406\uff0c\u4ee5\u4fbf\u4e0e\u65f6\u57df\u8ba1\u7b97\u7684\u80fd\u91cf\u76f8\u5bf9\u5e94\u3002<\/p>\n<\/p>\n
\u516d\u3001\u8ba1\u7b97\u5468\u671f\u4fe1\u53f7\u7684\u80fd\u91cf<\/p>\n<\/p>\n
\u5bf9\u4e8e\u5468\u671f\u4fe1\u53f7\uff0c\u4fe1\u53f7\u80fd\u91cf\u7684\u8ba1\u7b97\u9700\u8981\u8003\u8651\u4fe1\u53f7\u7684\u5468\u671f\u6027\u3002\u5468\u671f\u4fe1\u53f7\u7684\u80fd\u91cf\u901a\u5e38\u901a\u8fc7\u8ba1\u7b97\u4e00\u4e2a\u5468\u671f\u5185\u7684\u80fd\u91cf\u6765\u83b7\u5f97\u3002\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u5085\u91cc\u53f6\u7ea7\u6570\u5c55\u5f00\u7684\u65b9\u6cd5\uff0c\u5c06\u5468\u671f\u4fe1\u53f7\u8868\u793a\u4e3a\u591a\u4e2a\u6b63\u5f26\u6ce2\u7684\u53e0\u52a0\uff0c\u7136\u540e\u8ba1\u7b97\u8fd9\u4e9b\u6b63\u5f26\u6ce2\u7684\u80fd\u91cf\u3002<\/p>\n<\/p>\n
import numpy as np<\/p>\n
from scipy.integrate import quad<\/p>\n
\u5b9a\u4e49\u4e00\u4e2a\u5468\u671f\u4fe1\u53f7\u7684\u51fd\u6570<\/strong><\/h2>\n
def periodic_signal(t):<\/p>\n
    return np.sin(t) + 0.5 * np.sin(2 * t)<\/p>\n
\u8ba1\u7b97\u4e00\u4e2a\u5468\u671f\u5185\u7684\u80fd\u91cf<\/strong><\/h2>\n
period = 2 * np.pi<\/p>\n
energy, _ = quad(lambda t: periodic_signal(t)  2, 0, period)<\/p>\n
print("\u5468\u671f\u4fe1\u53f7\u7684\u80fd\u91cf:", energy)<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u5728\u8fd9\u4e2a\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u5b9a\u4e49\u4e86\u4e00\u4e2a\u5468\u671f\u4fe1\u53f7\u7684\u51fd\u6570periodic_signal(t)<\/code>\uff0c\u5e76\u4f7f\u7528SciPy\u7684quad<\/code>\u51fd\u6570\u8ba1\u7b97\u4e86\u4e00\u4e2a\u5468\u671f\u5185\u7684\u80fd\u91cf\u3002\u8fd9\u79cd\u65b9\u6cd5\u5bf9\u4e8e\u5206\u6790\u5468\u671f\u4fe1\u53f7\u7684\u80fd\u91cf\u975e\u5e38\u6709\u6548\u3002<\/p>\n<\/p>\n
\u4e03\u3001\u8ba1\u7b97\u566a\u58f0\u4fe1\u53f7\u7684\u80fd\u91cf<\/p>\n<\/p>\n
\u566a\u58f0\u4fe1\u53f7\u662f\u4e00\u79cd\u65e0\u89c4\u5219\u7684\u4fe1\u53f7\uff0c\u5176\u80fd\u91cf\u8ba1\u7b97\u4e0e\u666e\u901a\u4fe1\u53f7\u7c7b\u4f3c\u3002\u566a\u58f0\u4fe1\u53f7\u5728\u901a\u4fe1\u548c\u4fe1\u53f7\u5904\u7406\u4e2d\u626e\u6f14\u7740\u91cd\u8981\u7684\u89d2\u8272\uff0c\u901a\u5e38\u9700\u8981\u5bf9\u5176\u80fd\u91cf\u8fdb\u884c\u5206\u6790\u548c\u8bc4\u4f30\u3002\u5bf9\u4e8e\u79bb\u6563\u566a\u58f0\u4fe1\u53f7\uff0c\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528NumPy\u8ba1\u7b97\u5176\u80fd\u91cf\u3002<\/p>\n<\/p>\n
import numpy as np<\/p>\n
\u751f\u6210\u4e00\u4e2a\u968f\u673a\u566a\u58f0\u4fe1\u53f7<\/strong><\/h2>\n
noise_signal = np.random.normal(0, 1, 1000)<\/p>\n
\u8ba1\u7b97\u566a\u58f0\u4fe1\u53f7\u7684\u80fd\u91cf<\/strong><\/h2>\n
energy = np.sum(noise_signal  2)<\/p>\n
print("\u566a\u58f0\u4fe1\u53f7\u7684\u80fd\u91cf:", energy)<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u5728\u8fd9\u4e2a\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u4f7f\u7528NumPy\u7684random.normal<\/code>\u51fd\u6570\u751f\u6210\u4e86\u4e00\u4e2a\u6b63\u6001\u5206\u5e03\u7684\u968f\u673a\u566a\u58f0\u4fe1\u53f7\uff0c\u5e76\u8ba1\u7b97\u4e86\u5176\u80fd\u91cf\u3002<\/p>\n<\/p>\n
\u516b\u3001\u4fe1\u53f7\u80fd\u91cf\u5728\u901a\u4fe1\u7cfb\u7edf\u4e2d\u7684\u5e94\u7528<\/p>\n<\/p>\n
\u4fe1\u53f7\u80fd\u91cf\u5728\u901a\u4fe1\u7cfb\u7edf\u4e2d\u5177\u6709\u91cd\u8981\u7684\u5e94\u7528\u4ef7\u503c\u3002\u901a\u4fe1\u7cfb\u7edf\u901a\u5e38\u9762\u4e34\u4fe1\u53f7\u5728\u4f20\u8f93\u8fc7\u7a0b\u4e2d\u88ab\u566a\u58f0\u5e72\u6270\u7684\u95ee\u9898\uff0c\u56e0\u6b64\u9700\u8981\u901a\u8fc7\u8ba1\u7b97\u4fe1\u53f7\u80fd\u91cf\u6765\u8bc4\u4f30\u4fe1\u53f7\u7684\u8d28\u91cf\u548c\u4f20\u8f93\u6027\u80fd\u3002<\/p>\n<\/p>\n
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\u5341\u4e8c\u3001\u603b\u7ed3<\/p>\n<\/p>\n
\u5728Python\u4e2d\u8ba1\u7b97\u4fe1\u53f7\u80fd\u91cf\u53ef\u4ee5\u901a\u8fc7\u591a\u79cd\u65b9\u6cd5\u5b9e\u73b0\uff0c\u5305\u62ec\u4f7f\u7528NumPy\u8fdb\u884c\u7b80\u5355\u7684\u6570\u7ec4\u64cd\u4f5c\u3001\u4f7f\u7528SciPy\u8fdb\u884c\u6570\u503c\u79ef\u5206\u548c\u5085\u91cc\u53f6\u53d8\u6362\u5206\u6790\u3002\u4fe1\u53f7\u80fd\u91cf\u5728\u901a\u4fe1\u3001\u4fe1\u53f7\u5904\u7406\u548c\u7535\u5b50\u5de5\u7a0b\u4e2d\u5177\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\u4ef7\u503c\uff0c\u7528\u4e8e\u8bc4\u4f30\u4fe1\u53f7\u7684\u8d28\u91cf\u3001\u5f3a\u5ea6\u548c\u4f20\u8f93\u6027\u80fd\u3002<\/p>\n<\/p>\n
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\u5728Python\u4e2d\uff0c\u4fe1\u53f7\u7684\u603b\u80fd\u91cf\u53ef\u4ee5\u901a\u8fc7\u5bf9\u4fe1\u53f7\u5e45\u5ea6\u7684\u5e73\u65b9\u8fdb\u884c\u79ef\u5206\u6765\u8ba1\u7b97\u3002\u5e38\u7528\u7684\u65b9\u6cd5\u662f\u5229\u7528NumPy\u5e93\u6765\u5904\u7406\u4fe1\u53f7\u6570\u636e\u3002\u5177\u4f53\u6b65\u9aa4\u5305\u62ec\u5c06\u4fe1\u53f7\u7684\u6bcf\u4e2a\u6837\u672c\u503c\u5e73\u65b9\uff0c\u7136\u540e\u6c42\u548c\u3002\u4ee3\u7801\u793a\u4f8b\u4e3a\uff1a  <\/p>\n
import numpy as np\n\n# \u5047\u8bbe\u4fe1\u53f7\u4e3a\u4e00\u4e2aNumPy\u6570\u7ec4\nsignal = np.array([1, 2, 3, 4, 5])  \nenergy = np.sum(signal ** 2)\nprint("\u4fe1\u53f7\u80fd\u91cf:", energy)\n<\/code><\/pre>\n
\u4f7f\u7528Python\u5e93\u8ba1\u7b97\u4fe1\u53f7\u80fd\u91cf\u7684\u63a8\u8350\u5de5\u5177\u6709\u54ea\u4e9b\uff1f<\/strong>
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