A new method for the inversion of interferometry data using basis functions derived from singular value decomposition of local measurements in tokamak plasmas

2004 ◽  
Vol 47 (1) ◽  
pp. 49-69 ◽  
Author(s):  
I Furno ◽  
H Weisen ◽  
C Carey ◽  
C Angioni ◽  
R Behn ◽  
...  
Keyword(s):  
Singular Value Decomposition ◽  
Singular Value ◽  
Basis Functions ◽  
New Method ◽  
Tokamak Plasmas ◽  
Local Measurements ◽  
Value Decomposition

scholarly journals A modified truncation singular value decomposition method for solving ill-posed problems

2018 ◽  
Vol 13 ◽  
pp. 174830181881360 ◽  
Author(s):  
Zhenyu Zhao ◽  
Riguang Lin ◽  
Zehong Meng ◽  
Guoqiang He ◽  
Lei You ◽  
...  
Keyword(s):  
Singular Value Decomposition ◽  
Decomposition Method ◽  
Singular Value ◽  
Numerical Results ◽  
New Method ◽  
Truncated Singular Value Decomposition ◽  
Singular Value Decomposition Method ◽  
Ill Posed ◽  
Value Decomposition

A modified truncated singular value decomposition method for solving ill-posed problems is presented in this paper, in which the solution has a slightly different form. Both theoretical and numerical results show that the limitations of the classical TSVD method have been overcome by the new method and very few additive computations are needed.

Evaluating EM waveforms by singular‐value decomposition of exponential basis functions

Geophysics ◽  
1998 ◽  
Vol 63 (1) ◽  
pp. 64-74 ◽  
Author(s):  
Edward M. Stolz ◽  
James Macnae
Keyword(s):  
Singular Value Decomposition ◽  
Pulse Length ◽  
Singular Value ◽  
Basis Functions ◽  
Step Response ◽  
Waveform Data ◽  
Time Constants ◽  
Exponential Basis ◽  
Response Systems ◽  
Value Decomposition

Exponential basis functions preconvolved with the system waveform are used to convert measured transient decays to an ideal frequency‐domain response that can be modeled more easily than arbitrary waveform data. Singular‐value decomposition (SVD) of the basis functions are used to assess which specific EM waveform provides superior resolution of a range of exponential time constants that can be related to earth conductivities. The pulse shape, pulse length, transient sampling scheme, noise levels, and primary field removal used in practical EM systems all affect the resolution of time constants. Step response systems are more diagnostic of long time constants, and hence good conductors, than impulse response systems. The limited bandwidth of airborne EM systems compared with ground systems is improved when the response is sampled during the transmitter on time and gives better resolution of short time constants or fast decays.

AUDIO WATERMARKING WITH ANGLE QUANTIZATION BASED ON DISCRETE WAVELET TRANSFORM AND SINGULAR VALUE DECOMPOSITION

2018 ◽  
Vol 6 (2) ◽  
pp. 41-52
Author(s):  
Divya Chadar ◽  
Shailja Shukla
Keyword(s):  
Wavelet Transform ◽  
Singular Value Decomposition ◽  
Discrete Wavelet Transform ◽  
Auditory System ◽  
Audio Signal ◽  
Singular Value ◽  
New Method ◽  
Discrete Wavelet ◽  
Audio Watermark ◽  
Value Decomposition

An audio watermark is a unique electronic identifier embedded in an audio signal, typically used to identify ownership of copyright. Proposed work is a new method of audio watermark hiding inside another bigger cover standard audio cover. The method includes ‘harr’ wavelet based Discrete Wavelet Transform decomposition of frequencies hence the audio samples of watermark gets hidden only those parts of cover audio where human ears are less sensible according to Human Auditory System. Proposed method also includes the Singular Value Decomposition, which is required for making our method robust against the various communication of processing attacks like compression, filtering, fading or noise addition. Proposed work is also using the concept of angular modulation which initially modifies the audio watermark in to provide extra security and also extra robustness in communication. The design is been develop on MATLAB 2013b version and verification of design o the same. 

To: “Evaluating EM waveforms by singular‐value decomposition of exponential basis functions” (E. M. Stolz and J. Macnae, GEOPHYSICS, 63, 64–74)

Geophysics ◽  
1999 ◽  
Vol 64 (1) ◽  
pp. 310-310
Keyword(s):  
Singular Value Decomposition ◽  
Singular Value ◽  
Basis Functions ◽  
Exponential Basis ◽  
Value Decomposition ◽  
Wrong Sign

We thank Andy Green for pointing out the following errata to us. Equation (10) has the wrong sign on the RHS and should read [Formula: see text] and equation (11) has the wrong sign as in equation (1) plus the wrong signs on the last two exponents. It should read [Formula: see text].

Sign in / Sign up

Export Citation Format

Share Document