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EURASIP Journal on Advances in Signal Processing

Table 1 Log2 of the condition numbers of coefficient matrices

From: Error analysis and implementation considerations of decoding algorithms for time-encoding machine

# of minimum signal period T

Reconstruction methods

 

sin c basis

Approx. sin c basis

Gaussian basis

2

20.8

20.4

17.2

4

31.6

34.6

22.3

6

33.3

57.7

27.0

  1. A Vandermonde matrix formulation is presented in [2] which is similar to the Toeplitz formulation while reducing the conditioning number of the coefficient matrix to the square root of that of the Toeplitz formulation. Hence, the logarithm of the conditioning number for the approximate sinc basis presented in this table is based on the square root of the coefficient matrix.
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