sig2
1
f(t)=ΣDn*e^(jnω0t); Dn=(1/T0)∫f(t)*e^(-jnω0t); Dn=(Cn/2)*e^jΘn; F(ω)=∫f(t)*e^(-jωt); f(t)=(1/2π)∫F(ω)*e^(jωt); Y(s)=stuff1+suff2*F(s), stuff1=zero-in ut, stuff2=zero-state; FT ro : F(t)<>2πf(-ω); f(at)<>(1/a)F(ω/a); f(t-t0)<>F(ω)*e^(-jωt0); F(ω-ω0)<>f(t)*e^(jω0t); f1xf2<>F1*F2; f1*f2<>(1/2π)F1xF2; df/dt<>jωF(ω); ∫f(t)<>F(ω)*(1/jω)+πδ(ω)); δ(t)<>1; (1/2π)<>δ(ω); rect(t)<>sinc(ω/2); cos(ω0t)<>π[δ(ω+ω0)+δ(ω-ω0)]; cos(ω)=e(^(jω)-e^9-jω))/2; δ(t+1)<>e^jω; LT ro : f(t-T)<>F(s)*e^(-sT); F(s-S)<>f(t)*e^(St); f/ t<>sF(s)-y(0); ∫f(t)<>F(s)/s; convul<>mult; f(at)<>(1/a)F(s/a); t^n<>n!/s^(n+1); e^at<>1/(s-a); ∫ Σ ω π δ
description
sig
Transcript of sig2
�f(t)=ΣDn*e^(jnω0t);Dn=(1/T0)∫f(t)*e^(-jnω0t);Dn=(Cn/2)*e^jΘn;F(ω)=∫f(t)*e^(-jωt);f(t)=(1/2π)∫F(ω)*e^(jωt);Y(s)=stuff1+suff2*F(s),stuff1=zero-in�ut,stuff2=zero-state;
FT �ro�:F(t)<>2πf(-ω);f(at)<>(1/a)F(ω/a);f(t-t0)<>F(ω)*e^(-jωt0);F(ω-ω0)<>f(t)*e^(jω0t);f1xf2<>F1*F2;f1*f2<>(1/2π)F1xF2;df/dt<>jωF(ω);∫f(t)<>F(ω)*(1/jω)+πδ(ω));δ(t)<>1;(1/2π)<>δ(ω);rect(t)<>sinc(ω/2);cos(ω0t)<>π[δ(ω+ω0)+δ(ω-ω0)];cos(ω)=e(^(jω)-e^9-jω))/2;δ(t+1)<>e^jω;
LT �ro�:f(t-T)<>F(s)*e^(-sT);F(s-S)<>f(t)*e^(St);�f/�t<>sF(s)-y(0);∫f(t)<>F(s)/s;convul<>mult;f(at)<>(1/a)F(s/a);t^n<>n!/s^(n+1);e^at<>1/(s-a);
∫ Σ ω π δ
