Abstract
This study measured the achievable performance of the recently developed precoded faster-than-Nyquist (FTN) signaling scheme with truncated power allocation from an information-theoretic perspective. More specifically, the effects of the eigenvalue distribution of the FTN-specific inter-symbol interference matrix on the information rate were investigated. To explicitly evaluate the effects of significantly low eigenvalues, we performed 1024-bit eigendecomposition calculations, which are significantly more accurate than calculations in the standard double-precision environment. The results demonstrated a novel performance tradeoff between the information rate versus the calculation precision of a transmitted signal specific to the precoded FTN signaling scheme with truncated power allocation.
Highlights
Faster-than-Nyquist (FTN) signaling has been under development for more than 50 years to increase the data rate for communication systems [1,2,3,4]
Masaki et al.: Tradeoff Between Calculation Precision and Information Rate in Eigendecomposition-Based FTN Signaling values of the inter-symbol interference (ISI) matrix, including significantly low ones, are accurately calculated. Such highly precise calculations are typically infeasible, making it challenging to implement the signal transmissions and detection. To relax this unrealistic assumption, a suboptimal truncated power allocation scheme was developed for singular-value decomposition (SVD)-precoded FTN signaling in [24], where significantly low singular values that are not tractable are omitted from calculations at the cost of a reduced information rate
We demonstrated in our simulations that a novel performance tradeoff exists between the information rate versus the calculation precision for the precoded FTN signaling scheme with truncated power allocation, which has not been seen in previous communication scenarios
Summary
Faster-than-Nyquist (FTN) signaling has been under development for more than 50 years to increase the data rate for communication systems [1,2,3,4]. K. Masaki et al.: Tradeoff Between Calculation Precision and Information Rate in Eigendecomposition-Based FTN Signaling values of the ISI matrix, including significantly low ones, are accurately calculated. Such highly precise calculations are typically infeasible, making it challenging to implement the signal transmissions and detection To relax this unrealistic assumption, a suboptimal truncated power allocation scheme was developed for SVD-precoded FTN signaling in [24], where significantly low singular values that are not tractable are omitted from calculations at the cost of a reduced information rate. We demonstrated in our simulations that a novel performance tradeoff exists between the information rate versus the calculation precision for the precoded FTN signaling scheme with truncated power allocation, which has not been seen in previous communication scenarios.
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