Abstract
This paper presents a novel method designing an optimized waveform with high spectral efficiency based on minimum out-of-band radiation criterion. Introducing the Pan-function model, Fourier series, and constraints, we achieve the numeric solution of the optimized baseband signals. The optimal waveform provides an excellent bandwidth efficiency, and its bit error rate (BER) performance is improved using the minimum cross-correlation function. To verify the proposed model, we present a simulation of the signal modulation and demodulation schemes using MATLAB software. The results are consistent with expected results, verifying the correctness of this method.
Highlights
Optimized signal waveform with features, higher utilization rate, lower peak-to-average power ratio (PAPR), and higher main lobe energy can be applied in many significant applications, such as mobile telecommunication, satellite communication, aircraft measurement, tracking, and controlling systems [1,2,3]
In the work [6], minimum shift keying (MSK) is proposed, which is featured with constant envelope and has less out-of-band radiation compared with quadrature phase shift keying (QPSK)
In most canonical communication systems featured with constant or quasi-constant envelope, a rectangular base band signal is applied in QPSK, offset QPSK (OQPSK), and frequency-shift-keying (FSK)modulation systems; cosine signal is used in MSK and Gaussian filtered minimum shift keying (GMSK) after filtering
Summary
Optimized signal waveform with features, higher utilization rate, lower peak-to-average power ratio (PAPR), and higher main lobe energy can be applied in many significant applications, such as mobile telecommunication, satellite communication, aircraft measurement, tracking, and controlling systems [1,2,3]. In the work [6], minimum shift keying (MSK) is proposed, which is featured with constant envelope and has less out-of-band radiation compared with quadrature phase shift keying (QPSK). In most canonical communication systems featured with constant or quasi-constant envelope, a rectangular base band signal is applied in QPSK, offset QPSK (OQPSK), and frequency-shift-keying (FSK)modulation systems; cosine signal is used in MSK and GMSK after filtering. These kinds of modulation systems show a lesser utilization rate compared with multiple carrier modulation. A novel method to design an optimized base band waveform is proposed based on minimum out-of-band radiation criterion and additional restrictions. The numerical results show that the optimized waveform presents sharper roll-off, small out-of-band radiation, quasi-constant envelope, and good bit error rate (BER) performance
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