Signal processing engineers recognize two main classes of filter: finite impulse response (FIR) and infinite (IIR), each with distinct properties. The Prism is a new filter type that combines the best both: numerical stability linear phase FIR together low-cost calculation IIR. Here, we show how to build ultranarrowband filters containing over one billion samples (taps) using sequence Prisms. W...

We show that for low enough temperatures, but still above the AT line, Jacobian of TAP equations SK model has a macroscopic fraction eigenvalues outside unit interval. This provides simple explanation numerical instability fixed points, which thus occurs already in high temperature. The insight leads to some algorithmic considerations on temperature regime.