1、第7章單位脈沖函數20()tt 00tt t12 0tt 0t00t ( )f t0()tt ( )f t dt 0lim 0()tt ( )f t dt 0()tt dt 0()tt 1 00tt 12 dt0t 0t (,) 0()tt 0tt 00tt 0()tt dt 1 3( )f t( ) t ( )f t dt ( )f t0|t (0)f 0()tt ( )f t dt ( )f t0|t t 0( )f t 0t 00()tt ( )f t dt 0()tt ( )f t dt 0lim 0lim 00tt 12 ( )f t dt0lim 2 00tt ( )f t dt0

2、lim 20()f t 0()f t 0( )f t ( ) t dt 1 ( )f t 10()tt dt 1 ( ) t costdt cos0 1 ( ) t 2(2)t dt 2 ( ) t sint dt 0 2()t sint dt 1 40()tt ( )f t dt ( )f t0|t t 0( )f t 0()tt 0()tt 0()tt ite dt ite 0|t t 0t ie 0()tt 0()tt ite dt ite 0|tt0t ie ( ) t 1 5()t 5ie 0(1 )t 10ie 3()t 3ie ( ) t 1 5( )f t12 ()ta ()t

3、a ()2at ()2at 0()tt 0tie ( )f t12 ()at ()at 2()ta 2()ta 1(2 iae iae 2aie 2)aie cosa cos2a 6( ) t ( ) t 1 1( ) t 1tie d 12 () t ite d 12 ( ) t ( ) t ( )f t dtaa tx ()ft dtaa ()fx ( d )x aa aa ()fx d x ite d 2 ( ) t ite dt2 ( ) 0()ite dt2 0() 0ite 0ite 0ite ite dt11 ite dt2 ( ) 70()tt 0()tt 0t ie 0()t

4、t 0()tt 0t ie 0ite 0ite 2 0() 0ite 0ite 2 0() 5i te 2 ()5 10ite2 1(0) 3i te2 ()3 12 ( ) ( ) t 1 80ite 2 0() 0ite 2 0() 0sint 1(2i 0ite 0)ite 0cost 1(2 0ite 0)ite 0cost 0 () 0() 0sint i 0 () 0() cos5t ()5 ()5 sin2ti ()2 ()2 cost ()1 ()1 sinti ()1 ()1 9( )f tcos sintt ( )f t1sin22t 0ite 2 0() 14i 22()

5、i ti tee ( )f t14i 2i te2ite 14i 2 ()2 2 2() 2i ()2 ()2 103( )f t3(sin ) t ( )f t12i (ite)ite 8i 3(i te3ite 3ite 3)i te ( )f t8i 3i te3i te 3i te 3ite 0ite 2 0() 4i ()3 13 () 13 () ()3 11( )f tsin(5)3t ( )f t0ite 2 0() 12i 3)5(ite 3()5ite 14i 5(13)i tie 5(13)i tie ( )f t1(13)4ii 5i te(13)i 5i te (13

6、)2ii ()5 (13)i 5() 12i 5i te3ie 5i te 3ie 12( )F 0 () 0() ( )f t12 ( )f t d ( )F tie 12 0() tie 0() tie d d 1(2 0ite 0)tie 0cost 0()tt ( )f t dt 0( )f t 13( )H t 00t 0t 1t( )Ht101i ( ) 12 ( )f t d ( )F tie ( )F 1i ( ) 1i tie ( ) tie 12 d 12 d cosit sint 12 d 12 d 12 1 0 sint d 12 0t 00t 1( )H t ( )

7、t ( )f t dt (0)f 141()n ( )f t( )f t02ana cosn t nb sinn t ( )f t nA22nnab ( )f t( )f t0c 1n ncinte nc inte nA2|nc 2nanjb nc nAnc( )f tdt221TTT jnte nA15( )f t(,) |( )|f tdt ( )f t( )f t12 ( )f t d ( )F tie ( )F ( )f tdtite ( )f t( )F ( )f t|( )|F ( )f t( )F ( ) t ite dt tie 0|t 1 1( )F 1ite dt 2 ( ) 16( )f t E| | ta | | ta 0t( )fta a0( )f t ( )f tite dtaaE (cost dt1sint aa 2sinEa sin)it ( )f t 00t 0t te t( )ft100 ( )F ( )f tdtite 0 () tie dt1i 1722TT ( )f t( )F 2 n 0()ncn nc( )f tdt221TTT 0inte (