The effect of a finite transducer bandwidth on the received PA signal was also examined.
However, due to the larger bandwidth of the receive filter, more noise is captured such that the achievable rate saturates at higher SNR.
where αA,2, βA,2, ρA,2are determined from (A10) under the conditions θ ˙ = π h ∕ T, σ g 2 = σ g B A 2, and σ n 2 = N 0 B 1 2 ; B 1 2 the bandwidth of the receive filter in Phases I and II.
Where α A, 3, β A, 3, ρ A, 3, χ A, 3 2 are determined from (A10) under the conditions θ ˙ = w A θ ^ ˙ A + w B θ ^ ˙ B, σ g 2 = σ g R A 2, and σ n 2 = N 0 B 3 ; B 3 the bandwidth of the receive filter in Phase III.
where α A, 3, β A, 3, p A, 3, χ A, 3 2 are determined from (A10) under the conditions θ ˙ = ψ ˙ R, 1 + ψ ˙ R, 2, σ g 2 = σ g R A 2, and σ n 2 = N 0 B 3 ; B3 the bandwidth of the receive filter in Phase III.
From the signal modulation theory perspective, ( {omega}_s{displaystyle sum_{k=0}^K{e}^{jkleft[{omega}_st+theta (t)right]}} ) can modulate the Nyquist zone information of the input into the bandwidth information of the received signal.
In the AWGN channel, SNR of the BFT detection to chirp-rate signal depends on the time-bandwidth product of the received signal where the bandwidth is the sampling bandwidth.
