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Non Data Aided SNR Estimation for OFDM Signals in Frequency Selective Fading Channels

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Abstract

This paper deals with the problem of non data aided (NDA) signal to noise ratio (SNR) estimation of OFDM signals transmitted through unknown multipath fading channel. Most of present day’s SNR estimators are based on the knowledge of pilot sequences which is not applicable in some contexts such as cognitive radio for example. Moreover in Multipath fading channels SNR also depends on frequency offset which is caused by mismatch between the oscillator in the transmitter and that in the receiver. Previous NDA SNR estimation schemes assumed a perfect synchronization at reception (i.e. τ = 0 and \({\varepsilon = 0}\)) which results estimation of SNR with less accuracy. The frequency offset attenuates the desired signal and causes intercarrier interference, thus reducing the SNR. In this paper we propose a new NDA SNR estimator which uses periodic redundancy induced by the cyclic prefix, considering SNR degradation due to frequency offset (\({\varepsilon}\)).

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Abbreviations

N :

Number of subcarriers

E s :

Signal power

a k :

Transmitted data symbols

D :

CP length

L :

Rayleigh fading channel impulse response

\({\varepsilon}\) :

Carrier frequency offset

\({\vartheta}\) :

Initial arbitrary carrier phase

τ :

Timing offset

η(m):

Additive white Gaussian noise

S c (K):

Inter carrier interference (ICI) coefficients

S :

Signal power

\({\mathop \sigma \nolimits_n^2}\) :

Noise variance

M :

Number of OFDM symbols in the observation window

\({\xi(u)}\) :

A random variable which follows a chi square distribution

α :

Cycle frequency

δ(.):

Kronecker symbol

N c :

The number of considered cycle frequencies to estimate the signal power

B c :

Coherence bandwidth

\({^{\beta}}\) :

Coefficient expressing the desired correlation rate

H[κ] :

Channel gain

SNR0 :

Average SNR in the absence of a carrier frequency offset

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Authors and Affiliations

  1. Department of CS&SE, Andhra University, Visakhapatnam, 530003, India

    K. Seshadri Sastry & M. S. Prasad Babu

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  1. K. Seshadri Sastry
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  2. M. S. Prasad Babu
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Correspondence to K. Seshadri Sastry.

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Sastry, K.S., Prasad Babu, M.S. Non Data Aided SNR Estimation for OFDM Signals in Frequency Selective Fading Channels. Wireless Pers Commun 70, 165–175 (2013). https://doi.org/10.1007/s11277-012-0686-3

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