Abstract
Non Orthogonal Frequency Division Multiplexing (NOFDM) systems make use of a transmission signal set which is not restricted to orthonormal bases unlike previous OFDM systems. The usage of non-orthogonal bases generally results in a trade-off between Bit Error Rate (BER) and receiver complexity. This paper studies the use of Gabor based on designing a Spectrally Efficient Multi-Carrier Modulation Scheme. Using Gabor Transform with a specific Gaussian envelope; we derive the expected BER-SNR performance. The spectral usage of such a NOFDM system when affected by a channel that imparts Additive White Gaussian Noise (AWGN) is estimated. We compare the obtained results with an OFDM system and observe that with comparable BER performance, this system gives a better spectral usage. The effect of window length on spectral usage is also analyzed.
Highlights
With a growth in the number of users, there is an increase in the demand for spectrum
The spectral usage of such a Non Orthogonal Frequency Division Multiplexing (NOFDM) system when affected by a channel that imparts Additive White Gaussian Noise (AWGN) is estimated
In this paper we develop an NOFDM system that deviates from the conventional system as discussed in [5] where ΔfT < 1, by introducing a non-orthogonal basis set that possess a dual, which can be used in the receiver to retrieve the transmitted symbol, simplifying the receiver design
Summary
With a growth in the number of users, there is an increase in the demand for spectrum. By exploiting the circular conjugate symmetry property of Discrete Fourier Transform (DFT) better spectral efficiency & BER-SNR performance was achieved as discussed in [4]. All these systems make use of non-orthogonal bases for which an inverse doesn’t exist. Another concept of interest is the use of cyclic prefix for the diagonalization of the channel matrix. The use of non-orthogonal basis functions (Riesz basis) is the key idea in this paper
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