Wireless Communication: Channel Protection using Random Modulation
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- December 27, 2021
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Modulation is prevalently used in signal processing and communications to, for example, e ectively use available spectral bands by multiplexing signals in di erent frequency bands. Perhaps more closely related to our framework is code division multiple access, where also a binary waveform is pointwise multiplied with data signal primarily to mitigate additive interferences from other user data signals. However, we are claiming that binary modulation also protects a signal against more involved and unknown convolutive interference. In other words, a premodulation step enables us to deconvolve the signal, and impulse response without knowing either of them. In general, deconvolution of two unknown inputs is referred to as blind deconvolution (BD) and is severely ill-posed. BD is one of the fundamental problems in signal processing, communications, system theory, etc, and we shows that a simple modulation step, which already happens to be a part of the signal preprocessing assembly line prior to transmission in many wireless communication systems, enables us to undo the convolution with an unknown impulse response at the receiver.
Applications
Binary modulation of a message signal protects it against channel impairments in wireless communication; the setup is shown in figure above.
Related Papers
[1] A. Ahmed, Blind Deconvolution using Modulated Inputs, arXiv preprint arXiv:1811.08453, 2018.
[2] A. Ahmed, and H. Hameed Channel Protection Using Random Modulation, IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.47244728 2019.