Mellin-Transform-Based Performance Analysis of FFH MMM -ary FSK Using Product Combining for Combatting Partial-Band Noise Jamming (original) (raw)
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We propose a novel bit error ratio (BER) analysis technique for fast frequency hopping (FFH) assisted M-ary frequency shift keying (MFSK) using product combining (PC), when the channel is contaminated by partial band noise jamming (PBNJ). Exploiting the fact that the Mellin transform of the product of independent random variables is the product of their Mellin transforms, we derive the probability density function (PDF) of the PC’s output, when communicating in uncorrelated Rayleigh fading channels contaminated by PBNJ. Derivation of the PDF thus allows computation of the system’s BER. It is shown that the Mellin transform substantially simplifies the analysis of the PC receiver and facilitates for the first time the analysis of FFH-MFSK PC receiver for modulation orders of M > 2.
IEEE Transactions on Vehicular Technology, 2000
We employ the Mellin transform to facilitate the bit error ratio (BER) analysis of a fast frequency hopping (FFH)-assisted, M-ary frequency-shift keying (MFSK) using product combining (PC) when the transmitted signal is subjected to both Rayleigh fading and partial-band noise jamming. Exploiting the fact that the Mellin transform of the product of independent random variables is the product of their Mellin transforms, we derive the probability density function (PDF) of the PC's output. The derivation of the PDF then allows the computation of the system's BER. It is shown that the Mellin transform substantially simplifies the analysis of the PC receiver and hence facilitates, for the first time, the analysis of the FFH-MFSK PC receiver for modulation orders of M > 2.
IEEE Transactions on Vehicular Technology, 2008
In this contribution, we analyze the bit error rate (BER) performance of fast frequency hopping (FFH) assisted M -ary frequency shift keying (MFSK) using product combining. Product combining constitutes an efficient yet low-complexity scheme that may be employed in FFH-MFSK receiver to combat the detrimental effects of interference or jamming. We propose a novel approach to the analysis of this receiver system, which is based on the Mellin transform. Using this approach, the probability density function (PDF) of the product combiner output is expressed in a closed form. Based on the resultant PDF, the BER of the FFH-MFSK product combining receiver operating in Rayleigh fading channel is evaluated analytically. It is shown that the Mellin transform simplifies the analysis of the product combining receiver.
Mellin Transform Based Performance Analysis of Fast Frequency Hopping Using Product Combining
In this contribution, we analyze the bit error rate (BER) performance of fast frequency hopping (FFH) assisted M-ary frequency shift keying (MFSK) using product combining. Product combining constitutes an efficient yet low-complexity scheme that may be employed in FFH-MFSK receiver to combat the detrimental effects of interference or jamming. We propose a novel approach to the analysis of this receiver system, which is based on the Mellin transform. Using this approach, the probability density function (PDF) of the product combiner output is expressed in a closed form. Based on the resultant PDF, the BER of the FFH-MFSK product combining receiver operating in Rayleigh fading channel is evaluated analytically. It is shown that the Mellin transform simplifies the analysis of the product combining receiver.
VTC Spring 2008 - IEEE Vehicular Technology Conference, 2008
Analytical expressions of bit-error rate (BER) are derived for a fast-frequency-hopping M-ary frequency-shiftkeying (FFH/MFSK) spread-spectrum communication system over frequency-selective Rayleigh-fading channels with multitone jamming (MTJ) and additive white Gaussian noise. The FFH/MFSK systems employing a linear-combining receiver (LCR) and a product-combining receiver (PCR) are studied. The desired signal and MTJ are assumed to undergo independent fading. The characteristic function approach is used to derive the analytical BER expressions for higher diversity levels. The analytical BER expressions are validated by simulation results and the PCR is found to outperform the LCR when the jamming power is relatively strong.
Performance analysis of an FFH/BFSK product-combining receiver under multitone jamming
1999
The performance of a fast frequency-hopped binary frequency-shift keying (FFH/BFSK) spread-spectrum (SS) communication system is studied in this paper. The FFH system employs a product-combining receiver against the worst case multitone jamming (MTJ) and additive white Gaussian noise (AWGN). The compact characteristic functions of the natural logarithm of the product-combiner outputs are obtained based on the Taylor series expansion. The characteristic functions are then used to derive the bit error rate (BER) expressions that are applicable to higher diversity levels. Our analysis, validated by the simulation results, shows that the band MTJ is generally more harmful than the corresponding independent MTJ. The BER performance of the product-combining receiver is shown to possess good MTJ rejection capability compared to that of the soft-decision linear-combining receiver, especially under both moderate and strong MTJ power conditions.
IET Communications, 2010
In this study, the effects of timing and frequency offsets on bit-error rate (BER) performance of fast frequency-hopped M-ary frequency-shift keying communication systems over Rician-fading channels with both multitone jamming (MTJ) and partial-band noise jamming (PBNJ) are investigated. Analytical BER expressions are derived for both linear-combining and product-combining receivers. Numerical results show that under both MTJ and PBNJ conditions, the BER performance falls between the two extreme cases, in which either MTJ or PBNJ presents. It is found that the BER performance is severely degraded as the timing or frequency offset increases. The product-combining receiver is found to be more sensitive to the timing and frequency offsets than the linear-combining receiver. It is also observed that for the linear-combining receiver, the optimum diversity order increases as the timing and frequency offset increases over both Rician-fading and Rayleigh-fading channels; however, the reverse is true for the product-combining receiver.
Performance Analyses of Fast Frequency Hopping Spread Spectrum and Jamming Systems
As technology becomes increasingly able to meet the requirements, interest in faster, noncoherent, frequency hopping rates to reduce the jamming of communication has heightened. The focus of this paper is on the performance of the fast frequency hopping spread spectrum system operating in the presence of partial band noise jamming. In this paper we consider a communication system that transmits binary data sequence or M frequency shift keying over a channel. With noncoherent detection, the MFSK tones on a given hop must be separated in frequency by an integer multiple of chip rate to provide orthogonality. The worst case partial-band noise jammer chooses fraction ( ρ ) to maximize the bit error probability (P b ) for a given M and signal to noise ratio. It has been observed from the simulation results that increases with K, illustrating the effectiveness of worst-case jamming ( wc ρ ) against FH/MFSK signals at typical operating points. It may be noted that wc ρ decreases as E b /N J gets larger.
IET Communications, 2010
The combined effect of partial band jamming and imperfect channel estimation on the analysis of the performance of MC-FH/BFSK receiver over a Rayleigh fading channel is often neglected in the literature. In this study, this missing analysis is provided. The authors derive closed form bit error probability (BEP) expressions for studying the effect of partial band and broad-band jamming on the performance of a coherent uncoded MC-FH/ BFSK receiver over a Rayleigh fading channel where the effect of channel estimation errors is not neglected. The considered model of the channel estimation errors does not assume independency between amplitude and phase estimates. Computer simulations are provided to validate the theoretical developments. It is shown that the smart partial band jammer should be present in all sub-bands of the system in order to be effective.