1. A signal pattern generation apparatus to generate a signal pattern having statistical self-similarity, said apparatus comprising: a root signal generation section to generate a root signal having positivity using a one-dimensional alpha-stable distribution of beta equals to one; a statistical self-similarity signal generation section to generate a statistical self-similarity signal based on wavelet analysis from the root signal; a decomposition section which decomposes, using a general-purpose filter, the statistical self-similarity signal into an intermediate pattern comprising at least two components in different frequency regions; a coefficient acquisition section which obtains coefficients for said at least two components, wherein the coefficients represent a ratio of the components; a resynthesis section to generate a resynthesized signal pattern from said at least two components and said coefficients; an access request generation section which receives the resynthesized signal pattern generated from said resynthesis section and generates a time-series access request; and an information processing section which receives said time-series access request from said access request generation section, executes processing according to said time-series request, and stores an execution log.