Abstract
Prior to the discovery of the celebrated orthogonal frequency division multiplexing (OFDM), multicarrier techniques that use analog filter banks were introduced in the 1960s. Moreover, advancements in the design of perfect reconstruction filter banks have led to a number developments in the design of prototype digital filters and polyphase structures for efficient implementations of the filter bank multicarrier (FBMC) systems. The main thrust of this paper is to present a tutorial review of the classical works on FBMC systems and show that some of the more recent developments are, in fact, reinventions of multicarrier techniques that have been developed prior of the era of OFDM. We also review the recent novel developments in the design of FBMC systems that are tuned to cope with fast fading wireless channels.
Highlights
Orthogonal frequency division multiplexing (OFDM) is the most dominant technology that has been researched and has been deployed for broadband wireless communications
Part of our attempt in this paper is to show this very important relationship between what has been done over 40 years ago, and the independent developments on discrete wavelet multitone (DWMT)/cosine modulated multicarrier techniques that have been developed in more recent years
When an filter bank multicarrier (FBMC) system with a prototype filter that satisfies the constraints (23) as well as the equality TΔ f = 2 is implemented, complex-valued (i.e., quadrature amplitude modulated (QAM) or PSK) data symbols that are spread over a grid of points in the timefrequency phase space at locations nT and 2k/T can be transmitted free of intersymbol interference (ISI) and intercarrier interference (ICI) [42, 44]
Summary
Orthogonal frequency division multiplexing (OFDM) is the most dominant technology that has been researched and has been deployed for broadband wireless communications. This, in turn, implies that h(t) should be a symmetric square-root Nyquist filter designed for a data rate of 0.5/T This result is in line with the fact that the bandwidth of VSB is one half of that of a double-side band (DSB) channel. To study the ICI between a pair of adjacent channels, consider the impulse response between sk+1(t) and the point prior to the sampler at the kth output of the receiver Note that at each subcarrier channel, the real and imaginary parts of sk[n] are separated and time staggered by T/2 This is done through the pulse shaping filter h(t) which is time shifted to the right on the quadrature branches.
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