The following four propositions are required for the proof of Theorem 1 given in II. The proofs of the propositions are given in III. Firstly we clarify some notation. The periodized filter can easily be written in terms o
Proper data sampling of a continuously varying quantity that describes the proceeding of a natural p...
The DFT is typically held as too slow for direct computation. However, for small windows of time, on...
The discrete Fourier transform (DFT) has been used to obtain rational approximations for transfer fu...
aperiodic + dst in time DTFT← → cts + periodic in freq ↓ periodic repetition ↓ sampling periodic + d...
As an introduction, let us describe exactly the relation between the Fourier series and the Fourier ...
The discrete Fourier transform (DFT) is an extremely useful tool that finds application in many diff...
In this thesis, I examine the theoretical properties of the short time discrete Fourier transform (S...
], Knuth [73] and Van Loan [129]. Copyright c fl 1997 R. P. Brent math207/outline 2 DFT, FFT and...
We consider the problem of finding the Discrete Fourier Transform (DFT) of N-length signals with kno...
In this paper we discuss the two-dimensional discrete quaternion Fourier transform (DQFT). We derive...
Abstract-The discrete and continuous Fourier transforms are applicable to discrete and continuous ti...
We exhibit a canonical basis Φ of eigenvectors for the dis-crete Fourier transform (DFT). The transi...
One way of deriving the discrete Fourier transform (DFT) is by eq-uispaced sampling of periodic sign...
We propose and consolidate a definition of the discrete fractional Fourier transform that generalize...
The Danielson-Lancoz lemma shows that a sequence must be divided up into its odd and even subsets. T...
Proper data sampling of a continuously varying quantity that describes the proceeding of a natural p...
The DFT is typically held as too slow for direct computation. However, for small windows of time, on...
The discrete Fourier transform (DFT) has been used to obtain rational approximations for transfer fu...
aperiodic + dst in time DTFT← → cts + periodic in freq ↓ periodic repetition ↓ sampling periodic + d...
As an introduction, let us describe exactly the relation between the Fourier series and the Fourier ...
The discrete Fourier transform (DFT) is an extremely useful tool that finds application in many diff...
In this thesis, I examine the theoretical properties of the short time discrete Fourier transform (S...
], Knuth [73] and Van Loan [129]. Copyright c fl 1997 R. P. Brent math207/outline 2 DFT, FFT and...
We consider the problem of finding the Discrete Fourier Transform (DFT) of N-length signals with kno...
In this paper we discuss the two-dimensional discrete quaternion Fourier transform (DQFT). We derive...
Abstract-The discrete and continuous Fourier transforms are applicable to discrete and continuous ti...
We exhibit a canonical basis Φ of eigenvectors for the dis-crete Fourier transform (DFT). The transi...
One way of deriving the discrete Fourier transform (DFT) is by eq-uispaced sampling of periodic sign...
We propose and consolidate a definition of the discrete fractional Fourier transform that generalize...
The Danielson-Lancoz lemma shows that a sequence must be divided up into its odd and even subsets. T...
Proper data sampling of a continuously varying quantity that describes the proceeding of a natural p...
The DFT is typically held as too slow for direct computation. However, for small windows of time, on...
The discrete Fourier transform (DFT) has been used to obtain rational approximations for transfer fu...