The handbook of formulas and tables for signal processing

Fourier Series. The Laplace Transform. One-Dimensional Continuous Fourier Transform. Discrete-Time Fourier Transform. The Delta Function. The One-Dimension Z Transform. Windows. Two-Dimensional Z Transform. Analytical Methods. Signals and Their Representation. Discrete Fourier Transform. Analog Filter Approximations. Sine and Cosine Transforms. The Hartley Transform. The Hilbert Transform. The Radon and Abel Transforms. The Hankel Transform. The Mellin Transform. Time-Frequency Transformations. Complex Variable Analysis. Legendre Polynomials. Hermite Polynomials. Laguere Polynomials. Chebyshev Polynomials. Bessel Functions. Zernike Polynomials. Special Functions Asymptotic Expansions. Non-Recursive Filters. Recursive Filters. Recursive Filters Satisfying Prescribed Specifications. Statistics. Matrices.

[1]  Stanley I. Grossman THE TRIGONOMETRIC AND HYPERBOLIC FUNCTIONS , 1981 .

[2]  Alexander D. Poularikas Recursive Filters Satisfying Prescribed Specifications , 1998 .

[3]  A. J. Jerri Correction to "The Shannon sampling theorem—Its various extensions and applications: A tutorial review" , 1979 .

[4]  Steve Fisk Hermite Polynomials , 2000, J. Comb. Theory, Ser. A.

[5]  Rashid Ansari,et al.  IIR discrete-time Hilbert transformers , 1987, IEEE Trans. Acoust. Speech Signal Process..

[6]  D. Gershfeld,et al.  Special functions for engineers and applied mathematicians , 1986, IEEE Journal of Oceanic Engineering.

[7]  Derek F. Lawden Complex Variable Analysis , 1989 .

[8]  Leon M. Hall,et al.  Special Functions , 1998 .

[9]  F. Harris On the use of windows for harmonic analysis with the discrete Fourier transform , 1978, Proceedings of the IEEE.

[10]  Brian D. Ripley,et al.  Stochastic Simulation , 2005 .

[11]  Moshe Zakai,et al.  Band-Limited Functions and the Sampling Theorem , 1965, Inf. Control..

[12]  A. Papoulis Systems and transforms with applications in optics , 1981 .

[13]  Alexander Poularikas,et al.  The Mellin Transform , 1998 .

[14]  Alexander Poularikas,et al.  Spectral Estimation of Random Discrete Signals , 1998 .

[15]  Alexander Poularikas Higher-Order Statistical Analysis , 1998 .

[16]  Roy D. Yates,et al.  Probability and stochastic processes , 1998 .

[17]  Alexander D. Poularikas Random Digital Signal Processing , 1998 .

[18]  I. N. Sneddon The use of integral transforms , 1972 .

[19]  D. A. LINDENt A Discussion of Sampling Theorems * , 2022 .

[20]  Ioannis Pitas,et al.  Nonlinear Digital Filters - Principles and Applications , 1990, The Springer International Series in Engineering and Computer Science.

[21]  Alexander Poularikas Time-Frequency Transformations , 1998 .

[22]  Keh-Shew Lu,et al.  DIGITAL FILTER DESIGN , 1973 .

[23]  Andreas Antoniou,et al.  Digital Filters: Analysis, Design and Applications , 1979 .

[24]  Ronald N. Bracewell,et al.  The Fourier Transform and Its Applications , 1966 .

[25]  J. Astola,et al.  Fundamentals of Nonlinear Digital Filtering , 1997 .

[26]  Christopher J. BISHOPAbstra,et al.  Orthogonal Functions , 2022 .

[27]  L. B.,et al.  Bessel Functions for Engineers , 1935, Nature.

[28]  J. Schmee Matrices with Applications in Statistics , 1982 .

[29]  den Ac Bert Brinker,et al.  Nonlinear digital filtering , 1991 .