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The frequency shift can be achieved by multiplying the band pass signal as given in equation x(t) = \(u_c (t) cos⁡2π F_c t-u_s (t) sin⁡2π F_c t\) by the quadrature carriers cos and sin and lowpass filtering the products to eliminate the signal components of 2Fc.

The frequency shift can be achieved by multiplying the band pass signal as given in equation x(t) = \(u_c (t) cos⁡2π F_c t-u_s (t) sin⁡2π F_c t\) by the quadrature carriers cos and sin and lowpass filtering the products to eliminate the signal components of 2Fc. Correct Answer and sin and lowpass filtering the products to eliminate the signal components of 2Fc. ] True

It is certainly advantageous to perform a frequency shift of the band pass signal by and sampling the equivalent low pass signal. Such a frequency shift can be achieved by multiplying the band pass signal as given in the above equation by the quadrature carriers cos and sin and low pass filtering the products to eliminate the signal components at 2Fc. Clearly, the multiplication and the subsequent filtering are first performed in the analog domain and then the outputs of the filters are sampled.

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