Your English writing platform
Discover LudwigExact(2)
Linton and Nielsen [6] introduced 'integration method', based on direct integration of initial pilot estimator (1.3).
They also define a modification to the simple pilot estimator, the 'complete version.' Remarkably, both these estimators are in fact wavelet-based estimators, using the Haar wavelet filter.
Similar(58)
Pilot estimators are often assumed to be root-n consistent, although they are not given in a constructible way.
One of the most difficult problems in applications of semi-parametric partially linear single-index models (PLSIM) is the choice of pilot estimators and complexity parameters which may result in radically different estimators.
The performance of the proposed method is compared against the well-established pilot based estimators: Moose, Classen, the maximum likelihood estimator, and the p-algorithm.
We can observe that the proposed pilot-data estimator for N f = 16 achieves approximately the same performance of the pilot-based one for N f = 4 ; therefore, requiring only 1/4 of the pilot subcarriers used by the pilot-based method.
For low values of E b N 0 the gain is smaller but even for E b N 0 as low as 0 dB we still gain 2 dB over the pilot-based estimator when N f = 4.
In Figure 11, we also present, in green line, the performance of the pilot-data estimator for N f = 4 when perfect decoded data are used instead of regenerated one.
In Figure 10, we also present, in green line, the performance of the pilot-data estimator for N f = 4 when perfect decoded data are used instead of regenerated data.
Moreover, inspection of the curves of Figure 10 shows us that the MSE of the pilot-data-based estimator for a given N f is always below the one achieved considering the pilot-based estimator with pilot separation of N f 2. This means that the total number of pilots can be halved leading to an improved spectral efficiency.
In this scenario, the MSE of the pilot-data-based estimator for a given N f is quite close to the one achieved considering the pilot-based estimator with pilot separation of N f 2. We proposed a pilot-data-based estimation algorithm for an OFDM-based cooperative scenario where spatial diversity provided by SFBC is complemented with the use of a half-duplex RN using the EF protocol.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com