Figure below shows the circuit diagram of a square law modulator. The signal applied to the nonlinear device is relatively weak, such that it can be represented by a square law: v2(t) = ai vi(t) + a2 Vr°(t) where aj and a2 are constants, vi(t) is the input voltage, and v2(t) is the output voltage. The input voltage is defined by vi(t) = Ac cos (2af¢t) + m(t) where m(t) is a message signal and Ac cos (2nft) is the carrier wave. (a) Evaluate the output voltage v2(t). (b) Specify the frequency response that the tuned circuit in fig must satisfy in order to generate an AM signal with fc as the carrier frequency. (c) What is the amplitude sensitivity of this AM signal? Nonlinear device A, cos (2mf,1) Tuned to fe

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Figure below shows the circuit diagram of a square law modulator. The
signal applied to the nonlinear device is relatively weak, such that it can
be represented by a square law:
V2(t) = a1 Vi(t) + a2 V1²(t)
where ai and a2 are constants, Vi(t) is the input voltage, and v2(t) is the
output voltage. The input voltage is defined by
Vi(t) = A, cos (2nf-t) + m(t)
where m(t) is a message signal and Ac cos (2rfet) is the carrier wave.
(a) Evaluate the output voltage V2(t).
(b) Specify the frequency response that the tuned circuit in fig must
satisfy in order to generate an AM signal with fc as the carrier
frequency.
(c) What is the amplitude sensitivity of this AM signal?
Nonlinear
device
A, cos (2mf,0 (
Tuned to fe
Transcribed Image Text:Figure below shows the circuit diagram of a square law modulator. The signal applied to the nonlinear device is relatively weak, such that it can be represented by a square law: V2(t) = a1 Vi(t) + a2 V1²(t) where ai and a2 are constants, Vi(t) is the input voltage, and v2(t) is the output voltage. The input voltage is defined by Vi(t) = A, cos (2nf-t) + m(t) where m(t) is a message signal and Ac cos (2rfet) is the carrier wave. (a) Evaluate the output voltage V2(t). (b) Specify the frequency response that the tuned circuit in fig must satisfy in order to generate an AM signal with fc as the carrier frequency. (c) What is the amplitude sensitivity of this AM signal? Nonlinear device A, cos (2mf,0 ( Tuned to fe
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