# Lect19_Receiver Arch IV - ECE 620 Introduction to RF...

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ECE 620 Introduction to RF Integrated Circuits Prof. Waleed Khalil Lecture Receivers Architecture IV 19 1

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Outline Image Reject Receivers Image Rejection Ratio 2
90º Phase Shift 3 -90º x(t) y(t) x(t)= sin(2 π f c t) y(t)= sin(2 π f c t-90º)= -cos(2 π f c t) x(t)= cos(2 π f c t) y(t)= cos(2 π f c t-90º)= sin(2 π f c t) f c f 0 -f c +j -j f c f 0 -f c -1 -1 X f 0 +j -j = f c f 0 -f c +j -j f c f 0 -f c X f 0 +j -j = +1 +1

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Hartley Image Reject Receiver 4 LPF LPF RF LO IF RF LO IF sin(2 π f LO t) cos(2 π f LO t) RF Input 90º -90º I Q IF output LPF LPF RF LO IF RF LO IF sin(2 π f LO t) cos(2 π f LO t) RF Input 90º C IF output R C R -tan -1 ( ω RC) 90º-tan -1 ( ω RC)
Hartley IR Mixer : I-Component 5 f LO IF Image IF -f LO 0 RF LO f 0 f LO -f LO 0 f 1 1 0 f + IF RF LO IF RF cos(2 π f LO t) IF

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Hartley IR Mixer : Q-Component 6 f LO IF Image IF -f LO 0 RF LO f 0 f LO -f LO IF RF LO IF RF sin(2 π f LO t) IF 0 f 0 f + +j +j -j -j -j +j
Hartley IR Mixer : IF Output 7

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