Phantom oscillations in principal component analysis

M Shinn - Proceedings of the National Academy of …, 2023 - National Acad Sciences
Principal component analysis (PCA) is a dimensionality reduction method that is known for
being simple and easy to interpret. Principal components are often interpreted as low …

The discrete cosine transform

G Strang - SIAM review, 1999 - SIAM
Each discrete cosine transform (DCT) uses N real basis vectors whose components are
cosines. In the DCT-4, for example, the j th component of \boldv_k is \cos(j+12)(k+12)πN …

[HTML][HTML] Tensor–tensor products with invertible linear transforms

E Kernfeld, M Kilmer, S Aeron - Linear Algebra and its Applications, 2015 - Elsevier
Research in tensor representation and analysis has been rising in popularity in direct
response to a) the increased ability of data collection systems to store huge volumes of …

A fast algorithm for deblurring models with Neumann boundary conditions

MK Ng, RH Chan, WC Tang - SIAM Journal on Scientific Computing, 1999 - SIAM
Blur removal is an important problem in signal and image processing. The blurring matrices
obtained by using the zero boundary condition (corresponding to assuming dark …

Efficient least squares adaptive algorithms for FIR transversal filtering

GO Glentis, K Berberidis… - IEEE signal processing …, 1999 - ieeexplore.ieee.org
A unified view of algorithms for adaptive transversal FIR filtering and system identification
has been presented. Wiener filtering and stochastic approximation are the origins from …

-Channel Oversampled Graph Filter Banks

Y Tanaka, A Sakiyama - IEEE Transactions on Signal …, 2014 - ieeexplore.ieee.org
This paper proposes M-channel oversampled filter banks for graph signals. The filter set
satisfies the perfect reconstruction condition. A method of designing oversampled graph filter …

[图书][B] Speech recognition over digital channels: Robustness and Standards

A Peinado, J Segura - 2006 - books.google.com
Automatic speech recognition (ASR) is a very attractive means for human-machine
interaction. The degree of maturity reached by speech recognition technologies during …

The algebraic approach to the discrete cosine and sine transforms and their fast algorithms

M Püschel, JMF Moura - SIAM Journal on Computing, 2003 - SIAM
It is known that the discrete Fourier transform (DFT) used in digital signal processing can be
characterized in the framework of the representation theory of algebras, namely, as the …

Optimum DCT-based multicarrier transceivers for frequency-selective channels

N Al-Dhahir, H Minn, S Satish - IEEE Transactions on …, 2006 - ieeexplore.ieee.org
We derive conditions on the impulse response and input signal of a frequency-selective
finite-impulse response channel to be diagonalized by the discrete cosine transform (DCT) …

[PDF][PDF] Algebraic Signal Processing Theory: 1-D Space.

M Püschel, JMF Moura - IEEE Trans. Signal Process., 2008 - users.ece.cmu.edu
In our paper titled “Algebraic Signal Processing Theory: Foundation and 1-D Time”
appearing in this issue of the IEEE TRANSACTIONS ON SIGNAL PROCESSING, we …