A Bandwidth Efficient Constant Envelope Modulation

Hermes, Douglas J.; Kragh, Frank

doi:10.1109/acssc.2006.354795

Cited by 4 publications

(5 citation statements)

References 2 publications

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“…Other techniques for designing the pulse shaping filters that have been reported are based on optimization techniques with a specific objective function such as maximizing the robustness against timing jitter [2,3,[8][9][10] minimizing the duration of the impulse response [11][12][13] or minimizing the peak to average power ratio (PAPR) at the transmitter filter output [14]. Besides the complex way of calculating 2 EURASIP Journal on Advances in Signal Processing the filter coefficients, filters that are obtained by optimization techniques are usually of nonlinear phase [11,12] or they cannot be directly partitioned into matched filter pairs [2,3,[8][9][10][15][16][17] having linear phase characteristic. The same holds true for the IIR Nyquist filters as discussed in [17,18].…”

Section: Introductionmentioning

confidence: 99%

Nyquist Filters with Alternative Balance between Time- and Frequency-Domain Parameters

Bobula

Prokeš

Danĕk³

2010

EURASIP J. Adv. Signal Process.

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Designing matched pulse shaping filters with their cascade satisfying the Nyquist condition for minimum intersymbol interference constitutes an important task for almost all digital data radio transceivers processing an incoming data signal on the sampleby-sample basis. Despite their practical importance, there are only few sets of Nyquist filter definitions and design techniques to devise digital filter coefficients available for a designer. In this paper we propose a set of Nyquist filters that balance the time-and frequency-domain parameters in favor of a filter stop-band attenuation and residual intersymbol interference compared with the already existing Nyquist filter sets. Using a number of filter examples, this paper shows that the proposed Nyquist filters can be a good option for applications that need to fulfill strict limits of adjacent and alternate channel power attenuation while providing a low level of residual intersymbol interference and group delay of the digital filter.

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Section: Introductionmentioning

confidence: 99%

Nyquist Filters with Alternative Balance between Time- and Frequency-Domain Parameters

Bobula

Prokeš

Danĕk³

2010

EURASIP J. Adv. Signal Process.

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“…Since (5) implies that p(t -nT)p* (t) = 0 for all t whenever 1n2 > g, (10) yields g -1 distinct complex constraints and one real constraint on the coefficients ck [Note: (10) for n is redundant with (10) for -n]. These constraints are:…”

Section: B Zero Intersymbol Interferencementioning

confidence: 99%

“…p(t) = 0 V/t , [-gT/2, gT/2] where g is chosen to be a positive integer. The Fourier series supplies a sufficiently general way to express such a pulse shape: p(t) = p(t)rect (iT) (5) Therefore, (5) and (7) imply that the Fourier Transform of p(t) can be written as kmax P(f) = gT E cksinc(gTf -k) (8) k:=-kTnax Note that (8) implies that the first positive null in the pulse's spectrum occurs at f = (kmax + 1)/gT. Therefore, we can control the width of the central lobe of the spectrum by proper choice of kmax.…”

Section: A Pulse Durationmentioning

confidence: 99%

“…The senses of bandwidth efficiency that we consider in this paper are small first null bandwidth and steep spectral roll-off. In [5], [6], [7], and [8], pulses are considered that are both bandwidth efficient and of finite duration. [5] uses an approach for continuous phase modulation that is similar to the approach used here for PSK and QAM.…”

Section: B Objectivementioning

confidence: 99%

“…In [5], [6], [7], and [8], pulses are considered that are both bandwidth efficient and of finite duration. [5] uses an approach for continuous phase modulation that is similar to the approach used here for PSK and QAM. The treatment in [6] and [7] is ad hoc, yielding sub-optimum results.…”

Section: B Objectivementioning

confidence: 99%

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Spectrally efficient digital modulation using new pulse shapes

Kragh

Nga

Hermes

et al. 2007

MILCOM 2007 - IEEE Military Communications Conference

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Abstract-Linear modulation schemes such as phase shift keying (PSK) and quadrature amplitude modulation (QAM) are inherently spectrally efficient. The authors seek enhanced spectral efficiency by designing new spectrally efficient pulse shapes for such digital modulations. The pulses designed are of finite duration and exhibit zero intersymbol interference when received through an additive white Gaussian noise (AWGN) channel. The authors show that the resulting communications signals have optimal spectral roll-off while maintaining optimum bit error ratio performance when received via an AWGN channel. The bandwidths and power spectral densities of communications signals using these pulses are compared with traditional spectrally efficient communications signals.

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A bandwidth efficient constant envelope modulation with binary convolutional coding

Hermes

Kragh

Robertson

2008

2008 42nd Asilomar Conference on Signals, Systems and Computers

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This paper demonstrates the application of binary convolutional coding applied to the bandwidth efficient, constant envelope modulation developed by Resnikoff and Tigerman [1], [2]. The modulation waveform and phaseform are presented with the corresponding bit error performance expression for uncoded M -ary modulation. Probability of information bit error performance analysis is provided for M -ary modulation with binary convolutional coding with hard and soft decision Viterbi decoding. Expected performance bounds and coding gains are determined using the probability of information bit error performance analysis for M = 8 modulation with rate 1/3 binary convolutional codes, and are validated by numerical simulations. Near optimum path metrics are devised for M -ary modulation with binary convolutional codes with soft decision decoding. I. INTRODUCTIONBandwidth efficient modulation usually comes at the expense of large information bit error rates when compared to less efficient modulation schemes. As a result, higher order Mary modulations schemes where M > 2 are often employed with forward error correction to achieve high bandwidth efficiency with low information bit error rates while only moderately impacting required channel bandwidths. This paper presents the application of binary convolutional coding to the bandwidth efficient, constant envelope modulation originally devised by Resnikoff and Tigerman [1] when M = 8. Probability of information bit error performance analysis is provided for M = 8 modulation with rate 1/3 binary convolutional coding for both hard and soft decision Viterbi decoding. Near optimum path metrics are devised for M > 2 modulation with binary convolutional codes with soft decision decoding. Numerical simulations validate the expected performance analysis and demonstrate the utility of near optimum path metrics for soft decision decoding.

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A Bandwidth Efficient Constant Envelope Modulation

Cited by 4 publications

References 2 publications

Nyquist Filters with Alternative Balance between Time- and Frequency-Domain Parameters

Nyquist Filters with Alternative Balance between Time- and Frequency-Domain Parameters

Spectrally efficient digital modulation using new pulse shapes

A bandwidth efficient constant envelope modulation with binary convolutional coding

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