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Bridge between signal processing and information theory

Proceedings of the Fifth International Workshop on Signal Design and Its Applications in Communications, 2011
Minimum mean square error (MMSE) is a common measure used in signal processing. On the other hand, mutual information is a common measure used in information theory. A connection between MMSE and mutual information has been revealed recently, which establishes an interesting MMSE-I relationship.
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Theory and practice of wavelets in signal processing

International Journal of Machine Intelligence and Sensory Signal Processing, 2014
The methods of Fourier, Laplace and wavelet transforms provide transfer functions and relationships between the input and the output signals in linear time invariant systems. This paper shows the equivalence among these three methods and in each case presenting an application of the appropriateness (Fourier, Laplace or wavelet) to the convolution ...
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Signal Processing and Representation Theory

2010
The focus in the previous chapter was on the representation of finite groups by matrices and linear transformations (over the field of real or complex numbers). The related theory is very rich in content, and stands on its own as an area of study in mathematics.
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Signal Processing at Receivers: Detection Theory

2014
As an application of the statistical hypothesis testing, signal detection plays a key role in signal processing at receivers of wireless communication systems. To accept or reject a hypothesis based on observations, the hypotheses are possible statistical descriptions of observations using statistical hypothesis testing tools.
Lin Bai, Jinho Choi, Quan Yu
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Overview of Digital Signal Processing Theory

1975
Abstract : An overview of the theory of digital signal processing is presented here using key portions of the applicable technical literature. This can serve either as an introduction for those who desire to pursue the subject further or as a concise summary for those for whom more detailed investigation would be impractical. The discussion begins with
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LINEAR SIGNAL PROCESSING THEORY AND MEASUREMENTS

1963
Abstract : A time-varying random linear system model is hypothesized for the communication mediu. The fundamental parameters and analysis techniques for the linear system are described, and applied in a multiple alternative communication mode with Rayleigh fading. A comparison of several receiver types is then effected. Some measurement limitations and
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Convex Quaternion Optimization for Signal Processing: Theory and Applications

IEEE Transactions on Signal Processing, 2023
Shuning Sun, Qiankun Diao, Dongpo Xu
exaly  

Algebraic Signal Processing Theory: 1-D Nearest Neighbor Models

IEEE Transactions on Signal Processing, 2012
Aliaksei Sandryhaila   +2 more
exaly  

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