Signal Processing: A Mathematical ApproachA practical guide to the mathematics behind signal processing, this book provides the essential mathematical background and tools necessary to understand and employ signal processing techniques. Topics addressed include: - Fourier series and transforms in one and several variables, - applications to acoustic and electromagnetic propagation models, - transmission and emission tomography and image reconstruction, - optimization techniques, - high-resolution methods, and more. The emphasis is on the general problem of extracting information from limited data obtained by some form of remote sensing: acoustic or radar processing, satellite imaging, or medical tomographic scanning. |
Contents
Complex Exponentials | 5 |
Signal Analysis | 13 |
Fourier Transforms and Fourier Series | 41 |
Copyright | |
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Other editions - View all
Signal Processing: A Mathematical Approach, Second Edition Charles L. Byrne No preview available - 2020 |
Common terms and phrases
algorithm approximation assume autocorrelation band-limited extrapolation block-iterative calculate Cauchy's inequality chapter coefficients complex exponential complex numbers consider converges convex sets convolution covariance matrix CQ algorithm defined delta functions denotes detection discussion dot product eigenvalues eigenvectors emission EMML algorithm entries entropy estimate example Exercise finite fixed Fourier series frequency function f(x inequality infinite inner product integral interval IPDFT iterative algorithms iterative step KL(x KL(y Kullback-Leibler distance Landweber least-squares solution likelihood function limit cycle linear equations linear system matrix Q maximization maximum method minimizer noise nonzero obtain optimal orthogonal parameter PDFT phase errors pixel planewave Poisson polynomial power spectrum prior problem random variables RBI-EMML samples sequence Show signal processing sinusoids SMART solution of Ax solving Suppose system of equations system of linear theorem tomography wavelet Wiener filter xk+1 zero