4.2 Frequency-Domain Representation of Sampling 单位冲激串的傅立叶变换:S2)-2平∑δ2-k2) T:sample period;fs=1/T:sample rate;s-2/T:sample rate s()为单位冲激串函数,可展开傅立叶级数 sG∑ot-n0=之aenr=72e2w s(t) tycoidi- Is() ejkS2stF→2π6(S2-k2s) 2π +S(j2) sU0)2平∑s0-k2) 2π 2π T T 55 T:sample period; fs=1/T:sample rate;Ωs=2π/T:sample rate ( ) ( ) n s t t nT =− = − ( ) ( ) 2 s k S j k T =− = − ( ) ( ) 2 s k S j k T =− = − k k a e jk ts =− = s(t)为单位冲激串函数,可展开傅立叶级数 1 k s jk t T e =− = 2 ( ) F s jk ts e k → − -T 1 t 0 T s t( ) … … / 2 / 2 ( ) 1 1 s T jk t k T a e dt T T t + − − = = 0 S j ( ) … … 2 T 2 T 2 T − 单位冲激串的傅立叶变换: 4.2 Frequency-Domain Representation of Sampling s t( )