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Matrix-valued methods and apparatus for signal processing

A matrix, point matrix technology, applied in the field of matrix-valued fast Fourier transform

Inactive Publication Date: 2007-10-24
哈桑·塞希托格鲁
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0071] Obviously, the scalar-valued DFT can only compute as many points in the spectrum as there are available sample points

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Embodiment Construction

[0114] In the following description, for purposes of explanation, specific details are set forth in order to provide a detailed understanding of the present invention. It must be emphasized, however, that the present invention may be practiced without these specific details. In some instances, some algorithms and devices are described in functional block diagram form in order not to obscure the understanding of the present invention.

[0115] 1 Matrix-valued discrete Fourier transform method

[0116] The present disclosure begins with a matrix-valued discrete Fourier transform method (referred to below as matrix DFT). First, consider a set of N samples {x(n), n=0, 1, 2, ..., N-1} of a discrete-time signal, where N is a predetermined integer. This set of samples can be represented as a vector x of the input data:

[0117] x = x ( 0 ...

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Abstract

The present invention relates to a novel matrix-valued transform framework to process digital signals. According to one aspect of the invention, matrix-valued methods and apparatus are described to transform a vector-valued discrete-time data sequence from time-domain into frequency-domain. In another aspect, matrix-valued methods and apparatus are described to transform a vector-valued data sequence from frequency-domain into time-domain. Furthermore, the new framework disclosed in this invention also provides a plurality of methods and apparatus for basic signal processing functions and operations of a matrix-valued communication system. These functions and operations include but are not limited to matrix-valued fast Fourier transformation, matrix-valued linear and circular convolution, matrix-valued correlation, matrix-valued multiplexing and de-multiplexing, and matrix-valued data coding and decoding.

Description

technical field [0001] The present invention generally relates to a matrix-valued method and apparatus for processing signals. In particular, the present invention relates to a matrix-valued Fast Fourier Transform (FFT) and a matrix-valued Inverse Fast Fourier Transform (IFFT) method and processor. Background technique [0002] The present invention deals with matrix-valued functions, variables, quantities, algorithms and systems as opposed to scalar-valued functions, variables, quantities, algorithms and systems. In order to describe these functions, variables, quantities, algorithms and systems, the following symbols are used in this disclosure: [0003] • Scalar functions and variables are represented by lowercase letters (eg x, y, a). [0004] • The letters k, n, m, r, p, q, K, N, M are used to represent integer variables. [0005] • Vectors of scalars are represented by lowercase bold letters (eg x, a). [0006] • Matrices of scalars are represented in uppercase bol...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/14
CPCG06F17/142G06F17/16G06F17/14
Inventor 哈桑·塞希托格鲁
Owner 哈桑·塞希托格鲁
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