1、Signals & Systems - Reference Tables1Table of Fourier Transform PairsFunction, f(t)Fourier Transform, F(g119)Definition of Inverse Fourier Transformg242g165g165g45g61 g119g119g112g119deFtftj)(21)(Definition of Fourier Transformg242g165g165g45g45g61 dtetfFtjg119g119 )()()(0ttf g450)(tjeFg119g119g45tj
2、etf0)(g119)(0g119g119 g45F)( tf g97)(1g97g119g97F)(tF )(2 g119g112 g45fnndttfd )( )()( g119g119 Fjn)()( tfjtng45nndFdg119g119)(g242g165g45tdf g116g116)()()0()(g119g100g112g119g119FjFg43)(tg1001tje0g119)(20g119g119g112g100 g45(t)sgng119j2Signals & Systems - Reference Tables2tjg1121)sgn(g119)(tug119g1
3、19g112g100j1)( g43g229g165g45g165g61ntjnneF0g119g229g165g45g165g61g45nnnF )(20g119g119g100g112)(g116trect )2(g119g116g116Sa)2(2BtSaBg112)(Brectg119)(ttri)2(2g119Sa)2()2cos(g116g116g112 trecttA22)2()cos(g119g116g112g119g116g116g112g45A)cos(0tg119 g91g93)()(00g119g119g100g119g119g100g112 g43g43g45)sin
4、(0tg119g91g93)()(00g119g119g100g119g119g100g112g43g45g45j)cos()(0ttu g119g91g9322000)()(2g119g119g119g119g119g100g119g119g100g112g45g43g43g43g45j)sin()(0ttu g119g91g93220200)()(2g119g119g119g119g119g100g119g119g100g112g45g43g43g45g45j)cos()(0tetutg119g97g45220)()(g119g97g119g119g97jjg43g43g43Signals
5、 & Systems - Reference Tables3)sin()(0tetutg119g97g452200)( g119g97g119g119jg43g43teg97g45222g119g97g97g43)2/(22g115teg45 2/222g119g115g112g115g45etetug97g45)(g119g97 jg431ttetug97g45)(2)(1g119g97 jg43g216 Trigonometric Fourier Seriesg40g41g229g165g61g43g43g611000)sin()cos()(nnnntbntaatf g119g119whe
6、reg242g242g242g61g61g61TnTTndtnttfTbdtnttfTadttfTa000000)sin()(2and, )cos()(2, )(1g119g119g216 Complex Exponential Fourier Seriesg242g229g45g165g45g165g61g61g61TntjnnntjndtetfTFeFtf00)(1where, )(g119g119Signals & Systems - Reference Tables4Some Useful Mathematical Relationships2)cos(jxjxeexg45g43g61
7、jeexjxjx2)sin(g45g45g61)sin()sin()cos()cos()cos( yxyxyx g109g61g177)sin()cos()cos()sin()sin( yxyxyx g177g61g177)(sin)(cos)2cos(22xxx g45g61)cos()sin(2)2sin( xxx g61)2cos(1)(cos22xx g43g61)2cos(1)(sin22xx g45g611)(sin)(cos22g61g43 xx)cos()cos()cos()cos(2 yxyxyx g43g43g45g61)cos()cos()sin()sin(2 yxyxy
8、x g43g45g45g61)sin()sin()cos()sin(2 yxyxyx g43g43g45g61Signals & Systems - Reference Tables5Useful Integralsg242dxx)cos()sin(xg242dxx)sin()cos(xg45g242dxxx )cos()sin()cos( xxx g43g242dxxx )sin()cos()sin( xxx g45g242dxxx )cos(2)sin()2()cos(22xxxx g45g43g242dxxx )sin(2)cos()2()sin(22xxxx g45g45g242dxexg97aexg97g242dxxexg97g250g251g249g234g235g233g4521aaxexg97g242dxexxg972g250g251g249g234g235g233g45g4532222aaxaxexg97g242g43 xdxg98g97xg98g97g98g43ln1g242g43222xdxg98g97)(tan11g97g98g97g98xg45
