Computational Toolsmiths
Software Tools for Computational Science, Engineering, and Medicine |

- Examples of Individual Filters
- Daubechies Real Orthogonal Least Asymmetric (DROLA)
- Daubechies Real Orthogonal Most Asymmetric (DROMA)
- Daubechies Real Orthogonal Least Uncertain (DROLU)
- Daubechies Real Orthogonal Most Regular (DROMR)
- Examples of Filter Families
- Daubechies Real Orthogonal Least Disjoint (DROLD)
- Daubechies Real Orthogonal Most Disjoint (DROMD)
- Daubechies Real Orthogonal Least Asymmetric (DROLA)
- Daubechies Real Orthogonal Most Asymmetric (DROMA)
- Daubechies Real Orthogonal Least Regular (DROLR)
- Daubechies Real Orthogonal Most Regular (DROMR)
- Daubechies Real Orthogonal Least Uncertain (DROLU)
- Daubechies Real Orthogonal Most Uncertain (DROMU)

In the following examples of filters, each figure contains a matrix of subplots with rows corresponding to product, analysis, and synthesis filters, and with columns corresponding to characteristics of the filters in the complex z domain, the frequency domain, and the time domain.

Figure legend abbreviations for the plots on this page include:

- f(t) = filter in time t domain;
- F(z) = filter in complex z domain;
- F(w) = filter in frequency w domain;
- mag(F) = magnitude of F(w);
- db(F) = magnitude of F(w) in decibels;
- ang(F) = phase angle of F(w);
- up(F) = unwrapped phase angle of F(w);
- pd(F) = phase delay of F(w);
- gd(F) = group delay of F(w);
- P(z) = Product filter;
- A(z) = Analysis filter, primary spectral factor of P(z);
- S(z) = Synthesis filter, complementary spectral factor of P(z);
- tfu = Time-Frequency Uncertainty;
- tdr = Time-Domain Regularity;
- fds = Frequency-Domain Selectivity; and
- pnl = total Phase NonLinearity.

Scalets (lowpass filters) are in green; wavelets (highpass filters) are in red. In the z domain plots, the number near the zero at z = -1 indicates the multiplicity of that zero. This number determines the theoretical number of vanishing moments of the corresponding wavelet filter.