Consider Equation (4.108), which defines the impulse response of a minimum mean- square error receiver. (a) Justify

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Consider Equation (4.108), which defines the impulse response of a minimum mean- square error receiver.

(a) Justify the validity of Equation (4.109) that is the Fourier-transformed version of Equation (4.108).

(b) The power spectral density Sq (ƒ) in Equation (4.109) is the Fourier transform of the autocorrelation Rq1, τ2) of the time function q (t). The Rq1, τ2) is defined by Equation (4.98). Starting with Equation (4.98), derive the formula of Equation (4.111).

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