In this paper, we introduce almost D-split sequences and establish an elementary but somewhat surprising connection between derived equivalences and Auslander-Reiten sequences via BB-tilting modules. In particular, we obtain derived equivalences from Auslander-Reiten sequences (or n-almost split sequences), and Auslander-Reiten triangles.

Interleaved Frequency Division Multiple Access (IFDMA) has the salient advantage of lower Peak-to-Average Power Ratio (PAPR) than its competitors like Orthogonal FDMA (OFDMA). A recent research effort ours put forth a new IFDMA transceiver design significantly less complex conventional transceivers. The reduces complexity by exploiting certain correspondence between signal processing and Cooley...

It is well recognized in the computer algebra theory and systems communities that the Fast Fourier Transform (FFT) can be used for multiplying polynomials. Theory predicts that it is fast for “large enough” polynomials. Even so, it appears that no major general-purpose computer algebra system uses the FFT as a general default technique for this purpose. Some provide (optional) access to FFT tec...

In this paper, we present a new fast Fourier transform (FFT) hardware architecture called constant multiplier (CM) FFT. Whereas rotators in previous architectures must rotate among several different angles, the CM FFT exploits use of multipliers to calculate rotations. The paper explores 4-parallel and 8-parallel radix-2 FFT, which calculates entirely by using multipliers. Later, radices 2 <sup...

Orthogonal frequency division multiplexing (OFDM) is a popular method for wireless transmission of data at high rate. To increase the speed of transmission, the input high rate data stream is divided into many small data streams which are then transmitted parallel in OFDM system. The key component of OFDM system is the FFT processor. FFT converts the input time domain signal into frequency doma...

Five-Factor Theory (FFT) is a conceptualization of the personality system that identifies traits as abstract Basic Tendencies rooted in biology. In this chapter, FFT is examined in relation to recent findings in cross-cultural psychology reported in this volume. FFT correctly predicts the universality of personality structure, maturation, and gender differentiation. FFT suggests that difference...

In the context of FFT-based maximum-likelihood (ML) detection of a complex sinusoid in noise, we consider the result of terminating the FFT at an intermediate stage of computation and applying the ML detection strategy to its unnnished results. We show that detection performance increases monotonically with the number of FFT stages completed , converging ultimately to that of the exact ML detec...

OFDM technology promises to be a key technique for achieving the high data capacity and spectral efficiency requirements for wireless communication systems in future. Fast Fourier transform (FFT) processing is one of the key procedures in popular orthogonal frequency division multiplexing (OFDM) communication systems. A parallel and pipelined Fast Fourier Transform (FFT) processor for use in th...

In this paper, a novel data scaling method for pipelined FFT processors is proposed. By using data scaling, the' FFT processor can operate on a wide range of input signals without performance loss. Compared to existing block scaling methods, like implementations of Convergent Block Floating Point (CBFP), the memory requirements can be reduced while preserving the SNR. The FFT processor has been...