1st Edition
Brief Notes in Advanced DSP Fourier Analysis with MATLAB
Discrete Fourier Transform
Properties of the discrete Fourier transform
Fourier transform splitting
Fast Fourier transform
Codes for the paired FFT
Paired and Haar transforms
Integer Fourier Transform
Reversible integer Fourier transform
Lifting schemes for DFT
One-point integer transform
DFT in vector form
Roots of the unit
Codes for the block DFT
General elliptic Fourier transforms
Cosine Transform
Partitioning the DCT
Paired algorithm for the N-point DCT
Codes for the paired transform
Reversible integer DCT
Method of nonlinear equations
Canonical representation of the integer DCT
Hadamard Transform
The Walsh and Hadamard transform
Mixed Hadamard transformation
Generalized bit and transformations
T-decomposition of Hadamard matrices
Mixed Fourier transformations
Mixed transformations: continuous case
Paired Transform-Based Decomposition
Decomposition of 1D signals
2D paired representation
Fourier Transform and Multiresolution
Fourier transform
Representation by frequency-time wavelets
Time-frequency correlation analysis
Givens–Haar transformations
References
Index
Biography
Artyom M. Grigoryan, Merughan Grigoryan
