Dual Biorthogonal-like Sequences for Some Standard Finite-length Discrete-time Windows
نویسنده
چکیده
Computation of pairs of analysis and synthesis (dual) windows is very important in using discrete-time Gabor transform. Biorthogonal-like sequence theory ooers some simple solutions for computing dual windows for signal representation. Solutions to the biorthogonal-like condition are obtained by dividing the problem into various cases. As an example, dual windows for the truncated Gaussian window are computed. The dual windows are evaluated via reconstructing a sequences of random numbers and computing the mean-squared error between the original and reconstructed sequence. Some observations about the dual window characteristics are made.
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