This paper presents a new idea to detect a continuous-wave (CW) burst with
unknown frequency using the discrete Fourier transform. Given a CW burst of
certain length, an obvious detection scheme would be to compute the DFT po
wer over the whole burst and in the given frequency bins that cover the tot
al Frequency uncertainty range, This may result in poor performance when th
e CW frequency is not exactly in one of the DFT bins. The new scheme divide
s the CW burst into L subbursts and computes the summation of the DFT power
in each subburst, With very little increase on the DFT computation complex
ity, the overall detection performance can be greatly improved, The analysi
s employs a unified approach to derive the expressions of probabilities of
false alarm and miss detection for both the conventional and the new scheme
s over the additive white Gaussian noise (AWGN) channel, Simulations are do
ne for both the AWGN channel and the satellite fading channel.