傅里叶变换： f1=sin(t)/t f2=(sin t/t)^2 f3=1/(2+0.25t^2) f4=sin(at)/(1+t^2) (sint^2/t)dt的定积分

\u6c42(sin2t)^2\u7684\u5085\u91cc\u53f6\u53d8\u6362

\u7531\u4e09\u500d\u89d2\u516c\u5f0f\uff1asin3t=3sint-4sin³t,\u5f97\uff1a
sin³t=(3sint-sin3t)/4
\u5219sinat\u7684\u5085\u91cc\u53f6\u53d8\u6362\u4e3aj\u03c0[\u03b4(w+a)-\u03b4(w-a)]
\u6240\u4ee5f(t)\u7684\u5085\u91cc\u53f6\u53d8\u6362\u4e3aF(w)=j\u03c0{[3\u03b4(w+1)-3\u03b4(w-1)]-[\u03b4(w+3)-\u03b4(w-3)]}/4

\u5177\u4f53\u56de\u7b54\u5982\u56fe\u6240\u793a\uff1a

\u4e00\u4e2a\u51fd\u6570\uff0c\u53ef\u4ee5\u5b58\u5728\u4e0d\u5b9a\u79ef\u5206\uff0c\u800c\u4e0d\u5b58\u5728\u5b9a\u79ef\u5206\uff1b\u4e5f\u53ef\u4ee5\u5b58\u5728\u5b9a\u79ef\u5206\uff0c\u800c\u4e0d\u5b58\u5728\u4e0d\u5b9a\u79ef\u5206\u3002\u4e00\u4e2a\u8fde\u7eed\u51fd\u6570\uff0c\u4e00\u5b9a\u5b58\u5728\u5b9a\u79ef\u5206\u548c\u4e0d\u5b9a\u79ef\u5206\uff1b\u82e5\u53ea\u6709\u6709\u9650\u4e2a\u95f4\u65ad\u70b9\uff0c\u5219\u5b9a\u79ef\u5206\u5b58\u5728\uff1b\u82e5\u6709\u8df3\u8dc3\u95f4\u65ad\u70b9\uff0c\u5219\u539f\u51fd\u6570\u4e00\u5b9a\u4e0d\u5b58\u5728\uff0c\u5373\u4e0d\u5b9a\u79ef\u5206\u4e00\u5b9a\u4e0d\u5b58\u5728\u3002
\u6269\u5c55\u8d44\u6599\uff1a
\u542b\u6709\u221a\uff08a+bx\uff09\u7684\u79ef\u5206\u516c\u5f0f\u4e3b\u8981\u5305\u542b\u6709\u4ee5\u4e0b\u51e0\u7c7b\uff1a





\u76f4\u89c2\u5730\u8bf4\uff0c\u5bf9\u4e8e\u4e00\u4e2a\u7ed9\u5b9a\u7684\u5b9e\u51fd\u6570f\uff08x\uff09\uff0c\u5728\u533a\u95f4[a\uff0cb]\u4e0a\u7684\u5b9a\u79ef\u5206\u3002
\u82e5f\uff08x\uff09\u5728[a,b]\u4e0a\u6052\u4e3a\u6b63\uff0c\u53ef\u4ee5\u5c06\u5b9a\u79ef\u5206\u7406\u89e3\u4e3a\u5728Oxy\u5750\u6807\u5e73\u9762\u4e0a\uff0c\u7531\u66f2\u7ebf\uff08x\uff0cf\uff08x\uff09\uff09\u3001\u76f4\u7ebfx=a\u3001x=b\u4ee5\u53cax\u8f74\u56f4\u6210\u7684\u9762\u79ef\u503c\uff08\u4e00\u79cd\u786e\u5b9a\u7684\u5b9e\u6570\u503c\uff09\u3002
\u53c2\u8003\u8d44\u6599\u6765\u6e90\uff1a\u767e\u5ea6\u767e\u79d1\u2014\u2014\u79ef\u5206\u516c\u5f0f

#是表示圆周率pi吗？ f1 = sin(#t/3+#/4) = 2(cos#/3 * sin(#t/3+#/4)) f2 = √3sin(#t/3-#/4) = 2（sin#/3 * sin(#t/3

扩展阅读：sin x x傅里叶变换 ... sin与cos的转换公式大全 ... f t sin3t傅里叶变换 ... sin cos傅里叶变换 ... sin w0t 的傅里叶变换 ... sin信号的傅里叶变换 ... sin的傅里叶变换频谱图 ... sint傅里叶变换公式 ... sin x+π ...