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In the relation, x(t) = \(u_c (t) cos⁡2π \,F_c \,t-u_s (t) sin⁡2π \,F_c \,t\) the low frequency components uc and us are called _____________ of the bandpass signal x(t).

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In the relation, x(t) = \(u_c (t) cos⁡2π \,F_c \,t-u_s (t)  sin⁡2π \,F_c \,t\) the low frequency components uc and us are called _____________ of the bandpass signal x(t).

(a) Quadratic components

(b) Quadrature components

(c) Triplet components

(d) None of the mentioned

I had been asked this question in my homework.

This intriguing question originated from The Representation of Bandpass Signals topic in chapter Sampling and Reconstruction of Signals of Digital Signal Processing

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Right choice is (b) Quadrature components

Easy explanation: The low frequency signal components uc(t) and us(t) can be viewed as amplitude modulations impressed on the carrier components cos2πFct and sin2πFct, respectively. Since these carrier components are in phase quadrature, uc(t) and us(t) are called the Quadrature components of the bandpass signal x (t).

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