Abstract:In this letter, we propose two new Nyquist (intersymbol interference free) pulses that exhibit better error probability performance in the presence of sampling errors than the popular raised-cosine and a recently proposed pulse by Beaulieu, Tan, and Damen. The new pulses are also robust to the root and truncation operations
“…The improved Nyquist pulse shaping filter proposed in [20], by following [20], first we consider the flipped-hyperbolic secant (Fsech) pulse shaping filters. The time-domain expression is obtained by interchanging independent frequency variable with the time variable is given by ( ) must be modified as…”
Section: B Flipped-hyperbolic Secant (Fsech)mentioning
confidence: 99%
“…Another considered improved Nyquist pulse shaping filter is that proposed in [20] that is known as flipped-inverse hyperbolic secant (Farcsech). The time-domain expression of Farcsech pulse shaping filters is obtained by interchanging independent frequency variable with the time variable is given by…”
“…Transmission over an additive white Gaussian noise (AWGN) channel is considered in the case of ZF receiver. Improved Nyquist pulse shaping filters have been originally proposed in [20] to achieve higher tolerance to symbol timing error in single-carrier modulation schemes. As suggested in [21], when Nyquist pulse shaping filters are considered in GFDM a performance improvement can be achieved by exchanging the role of the frequency independent variable with that of the time independent variable in the formal expression defining the raised cosine pulse.…”
-Generalized Frequency-Division Multiplexing (GFDM) is one of the multicarrier modulation schemes currently under study for next generation 5G cellular networks. One of the main characteristics of GFDM is the low out of band emission that is achieved by means of a flexible time-domain pulse shaping of individual subcarriers. In the paper, we propose to use improved Nyquist pulse shaping filters which have been originally introduced in the context of single-carrier modulation schemes for reducing the sensitivity to symbol timing error due to their higher eye opening and smaller maximum distortion. Here we consider their use in GFDM and evaluate their symbol error rate (SER) performance in case of 16-QAM transmission over an additive white Gaussian noise channel. Moreover, we also considered the concept of the wavelet for better time-frequency localization of the pulse shaping filters by using the Meyer auxiliary function. Numerical results are reported to demonstrate the superior SER performance achieved by the proposed improved Nyquist pulse shaping filters in comparison to that achieved with conventional Nyquist pulse shaping filters.Keywords -Generalized frequency-division multiplexing (GFDM); Nyquist filtering; symbol error rate (SER).
“…The improved Nyquist pulse shaping filter proposed in [20], by following [20], first we consider the flipped-hyperbolic secant (Fsech) pulse shaping filters. The time-domain expression is obtained by interchanging independent frequency variable with the time variable is given by ( ) must be modified as…”
Section: B Flipped-hyperbolic Secant (Fsech)mentioning
confidence: 99%
“…Another considered improved Nyquist pulse shaping filter is that proposed in [20] that is known as flipped-inverse hyperbolic secant (Farcsech). The time-domain expression of Farcsech pulse shaping filters is obtained by interchanging independent frequency variable with the time variable is given by…”
“…Transmission over an additive white Gaussian noise (AWGN) channel is considered in the case of ZF receiver. Improved Nyquist pulse shaping filters have been originally proposed in [20] to achieve higher tolerance to symbol timing error in single-carrier modulation schemes. As suggested in [21], when Nyquist pulse shaping filters are considered in GFDM a performance improvement can be achieved by exchanging the role of the frequency independent variable with that of the time independent variable in the formal expression defining the raised cosine pulse.…”
-Generalized Frequency-Division Multiplexing (GFDM) is one of the multicarrier modulation schemes currently under study for next generation 5G cellular networks. One of the main characteristics of GFDM is the low out of band emission that is achieved by means of a flexible time-domain pulse shaping of individual subcarriers. In the paper, we propose to use improved Nyquist pulse shaping filters which have been originally introduced in the context of single-carrier modulation schemes for reducing the sensitivity to symbol timing error due to their higher eye opening and smaller maximum distortion. Here we consider their use in GFDM and evaluate their symbol error rate (SER) performance in case of 16-QAM transmission over an additive white Gaussian noise channel. Moreover, we also considered the concept of the wavelet for better time-frequency localization of the pulse shaping filters by using the Meyer auxiliary function. Numerical results are reported to demonstrate the superior SER performance achieved by the proposed improved Nyquist pulse shaping filters in comparison to that achieved with conventional Nyquist pulse shaping filters.Keywords -Generalized frequency-division multiplexing (GFDM); Nyquist filtering; symbol error rate (SER).
“…A window with lower sidelobes than BTRC which is called the Flipped-Inverse Hyperbolic Secant (farcsech) window is proposed in [23]. The window is designed according to (17),…”
Section: Spectrum Shaping By Time Domain Windowingmentioning
The ever growing demand for wireless services has placed enormous burden on valuable resources such as spectral bandwidth. This has resulted in a major rethinking in resource allocation policies culminating in an explosion of research activity in the field of Cognitive Radio (CR) towards optimum resource usage. In this tutorial paper the physical layer design and transmission techniques for CR in the context of efficient spectrum utilization are discussed. Spectrum sensing as the key element of CR awareness is described. Orthogonal frequency division multiplexing (OFDM) as a spectrally efficient modulation scheme is discussed and the rationale for its use in the CR system is explained. Spectrum pooling for efficient use of spectrum is studied and the role of adaptive OFDM techniques in this method is highlighted. Wavelet basis function as a replacement of Fourier transform in OFDM is evaluated. MIMO system as an added value to the CR performance is described. Adaptive Waveform and beamforming as alternative techniques in CR are reviewed.
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