be used to analyse a wider spectrum band without having to increase the sampling speed of the ADCs. This paper demonstrates the effectiveness of the smashed filter pilot detection method for a QPSK modulated pilot signal corrupted by additive white Gaussian noise (AWGN). The paper is organised as follows: Section II describes the mathematical model and provides the theoretical background for uncompressed estimation. Section III gives a short introduction to CS as needed for this paper and applies it to the estimation problem. Simulation results are presented in Section IV. Sections V and VI show an application example and conclude. II. ANALYTICAL MODEL Assume the bandlimited signal p(t) is the baseband representation of a known, narrow-band, QPSK modulated pilot sequence. p(t) is shifted to an unknown centre frequency ν � .
['Martin Braun', 'Jens P. Elsner', 'Friedrich K. Jondral']
Signal Detection for Cognitive Radios with Smashed Filtering